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Teachers can use Study.com's math lesson plans to illustrate specific mathematical operations that are part of their students' learning objectives. Teachers will find math-related lesson plans covering the specific topic they want to teach, such as popcorn math and compound inequalities. Those working with older students will find lesson plans designed for high school math instruction in precalculus, algebra, geometry, and more!

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Teachers can use Study.com's math lesson plans to illustrate specific mathematical operations that are part of their students' learning objectives. Teachers will find math-related lesson plans covering the specific topic they want to teach, such as popcorn math and compound inequalities.

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In this section you will find Math lessons from kindergarten through high school. Lessons come with options for modifications and differentiation in order to help you cater to the needs of your studs. Many of the lessons are aligned to Common Core State Standards. With that said, these lessons can easily be integrated into an existing curriculum Math curriculum for any grade. The lessons you see here were submitted by real teachers working in schools across the United States. We encourage you to contact us in order to share your lesson plans with the rest of the Teacher.org community.

Kindergarten Math Lesson Plans

Length of Time: 30 - 40 Minutes

A fun lesson to help students understand the concept of big and small and how to compare the two. The lesson involved hands-on activities to make the learning fun and engaging.

Length of Time: 30-40 minutes

Students will learn how to count backwards from 20-0 in a very fun and exciting way. The lesson includes a hands-on/interactive component where students will be asked to hop backwards while counting. This lesson is great for kindergarten through first grade.

Length of Time: About 45 Minutes

This lesson is designed to teach students how to measure lengths indirectly and by alternating length units.

Length of Time: 15-20 Minutes

This lesson will allow students to demonstrate knowledge of length as compared to other objects.

Length of Time: About 45 minutes

This lesson is designed to help students identify and sort common words in basic categories.

Length of Time: 20-30 minutes

This engaging lesson will help students determine whether a group of objects (up to 20) has an odd or even number of members.

Length of Time: About 45 minutes

This lesson is designed to help students represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations.

Length of Time: About 30 Minutes

Students will learn to create a small bar graph using candy for information.

Length of Time: 20 - 30 Minutes

Students will learn to categorize in various ways.

1st Grade Math Lesson Plans

Length of Time: 30 - 40 Minutes

A fun lesson to help students understand the concept of big and small and how to compare the two. The lesson involved hands-on activities to make the learning fun and engaging.

Length of Time: 30-40 minutes

Students will learn how to count backwards from 20-0 in a very fun and exciting way. The lesson includes a hands-on/interactive component where students will be asked to hop backwards while counting. This lesson is great for kindergarten through first grade.

Length of Time: 30 - 40 Minutes

Students will do a nature walk to find things in nature that are grouped in pairs that are odd or even.

Length of Time: About 45 Minutes

This lesson is designed to teach students to draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories. Plus, solve simple put-together, take-apart, and compare problems.

Length of Time: About 45 Minutes

This lesson is designed to teach students how to measure lengths indirectly and by alternating length units.

Length of Time: 15-20 Minutes

This lesson will allow students to demonstrate knowledge of length as compared to other objects.

Length of Time: 20-30 minutes

This engaging lesson will help students determine whether a group of objects (up to 20) has an odd or even number of members.

Length of Time: About 45 minutes

This lesson is designed to help students represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations.

Length of Time: 15-20 Minutes

This lesson will allow students to demonstrate knowledge of various grade appropriate shapes.

Length of Time: About 30 Minutes

Students will learn to create a small bar graph using candy for information.

Length of Time: 20 - 30 Minutes

Students will learn to categorize in various ways.

2nd Grade Math Lesson Plans

Length of Time: 30 - 40 Minutes

Students will do a nature walk to find things in nature that are grouped in pairs that are odd or even.

Length of Time: 2-3 class periods

The lesson is used for students to practice basic time measurement, and understanding the basic units of time.

Length of Time: About 20 minutes (depends on # of problems)

Students will compare numbers with three or more digits using visual cues.

Length of Time: About 45 Minutes

Students will create a "pizza" from construction paper divided into 8 slices. They will decorate each slice and then exchange slices with classmates and then evaluate the fractions of slices that they have at the end. For example, 1/8 slices of my own pizza, 4/8 or ½ of pizza that was made by a female, 2/8 or ¼ that was made by my buddy. Note: Students should have already had some lessons about simplification of fractions.

Length of Time: About 45 Minutes

This lesson is designed to teach students to draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories. Plus, solve simple put-together, take-apart, and compare problems.

Length of Time: 20-30 minutes

This engaging lesson will help students determine whether a group of objects (up to 20) has an odd or even number of members.

Length of Time: 15-25 minutes

This lesson will allow students to demonstrate knowledge use of scale.

Length of Time: 15-20 Minutes

This lesson will allow students to demonstrate knowledge of various grade appropriate shapes.

Length of Time: About 30 Minutes

Students will learn to create a small bar graph using candy for information.

3rd Grade Math Lesson Plans

Length of Time: 50 - 60 Minutes

Students will take a walk outside with their protractor and measure the angles in nature. They will record the angles that they find in branches, trees, bushes, flowers, etc... and then determine the supplementary angle.

Length of Time: 30 - 40 Minutes

Students will be assigned a number that has various factors and they will find partners with different factors that have the same product.

Length of Time: 30 - 40 Minutes

Students will do a nature walk to find things in nature that are grouped in pairs that are odd or even.

Length of Time: 2-3 class periods

The lesson is used for students to practice basic time measurement, and understanding the basic units of time.

Length of Time: About 20 minutes (depends on # of problems)

Students will compare numbers with three or more digits using visual cues.

Length of Time: About 45 Minutes

Students will create a "pizza" from construction paper divided into 8 slices. They will decorate each slice and then exchange slices with classmates and then evaluate the fractions of slices that they have at the end. For example, 1/8 slices of my own pizza, 4/8 or ½ of pizza that was made by a female, 2/8 or ¼ that was made by my buddy. Note: Students should have already had some lessons about simplification of fractions.

Length of Time: About 45 Minutes

This lesson is designed to teach students to draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories. Plus, solve simple put-together, take-apart, and compare problems.

Length of Time: 20-30 minutes

This engaging lesson will help students determine whether a group of objects (up to 20) has an odd or even number of members.

Length of Time: 15-25 minutes

This lesson will allow students to demonstrate knowledge use of scale.

Length of Time: 15-20 Minutes

This lesson will allow students to demonstrate knowledge of various grade appropriate shapes.

Length of Time: 1-2 class periods

The students will locate manmade objects or things in nature that are symmetrical.

Length of Time: 1-2 Class Periods

The students will work in groups of 4-6 physically learning and reviewing place value.

4th Grade Math Lesson Plans

Length of Time: 50 - 60 Minutes

Students will take a walk outside with their protractor and measure the angles in nature. They will record the angles that they find in branches, trees, bushes, flowers, etc... and then determine the supplementary angle.

Length of Time: 40 - 60 Minutes

Students will play a game in which they choose cards and choose the best place to put the number they have chosen in order to get the highest answer possible. This should not be the first introduction to the topic.

Length of Time: 30 - 40 Minutes

Students will be assigned a number that has various factors and they will find partners with different factors that have the same product.

Length of Time: 2-3 class periods

The lesson is used for students to practice basic time measurement, and understanding the basic units of time.

Length of Time: About 20 minutes (depends on # of problems)

Students will compare numbers with three or more digits using visual cues.

Length of Time: About 45 Minutes

This lesson is designed to explore fractions, decimals, percent's, and graphs with TRIX cereal.

Length of Time: About 45 Minutes

Students will create a "pizza" from construction paper divided into 8 slices. They will decorate each slice and then exchange slices with classmates and then evaluate the fractions of slices that they have at the end. For example, 1/8 slices of my own pizza, 4/8 or ½ of pizza that was made by a female, 2/8 or ¼ that was made by my buddy. Note: Students should have already had some lessons about simplification of fractions.

Length of Time: About 45 Minutes

This lesson is designed to help students solve problems involving the four operations, and identify and explain patterns in arithmetic.

Length of Time: 1-2 class periods

The students will locate manmade objects or things in nature that are symmetrical.

Length of Time: 1-2 Class Periods

The students will work in groups of 4-6 physically learning and reviewing place value.

Length of Time: About 2-3 class periods

Finding the volumes of miscellaneous-sized containers using a known total measurement of one container. They will do this in as few steps as possible.

5th Grade Math Lesson Plans

Length of Time: 50 - 60 Minutes

Students will take a walk outside with their protractor and measure the angles in nature. They will record the angles that they find in branches, trees, bushes, flowers, etc... and then determine the supplementary angle.

Length of Time: 40 - 60 Minutes

Students will play a game in which they choose cards and choose the best place to put the number they have chosen in order to get the highest answer possible. This should not be the first introduction to the topic.

Length of Time: 30 - 40 Minutes

Students will be assigned a number that has various factors and they will find partners with different factors that have the same product.

Length of Time: About 45 Minutes

This lesson is designed to explore fractions, decimals, percent's, and graphs with TRIX cereal.

Length of Time: 3 class periods

Pairs of students will survey other students in the school and then graph the results, as well as come to conclusions based on the information.

Length of Time: 45 minutes across 2 to 3 days

This lesson will allow students to show a relationship between numbers and a visual representation in a manner that can be used for younger students.

Length of Time: 1-2 Class Periods

The students will physically review the order of operations.

Length of Time: About 45 Minutes

This lesson is designed to help students solve problems involving the four operations, and identify and explain patterns in arithmetic.

Length of Time: Two 45 minute periods

Students will learn about probability and statistics while rolling dice and flipping a coin carefully recording their results.

Length of Time: 1-2 class periods

The students will locate manmade objects or things in nature that are symmetrical.

Length of Time: 1-2 Class Periods

The students will work in groups of 4-6 physically learning and reviewing place value.

Length of Time: About 2-3 class periods

Finding the volumes of miscellaneous-sized containers using a known total measurement of one container. They will do this in as few steps as possible.

6th Grade Math Lesson Plans

Length of Time: 40 - 60 Minutes

Students will play a game in which they choose cards and choose the best place to put the number they have chosen in order to get the highest answer possible. This should not be the first introduction to the topic.

Length of Time: About 45 Minutes

This lesson is designed to explore fractions, decimals, percent's, and graphs with TRIX cereal.

Length of Time: 3 class periods

Pairs of students will survey other students in the school and then graph the results, as well as come to conclusions based on the information.

Length of Time: 45 minutes across 2 to 3 days

This lesson will allow students to show a relationship between numbers and a visual representation in a manner that can be used for younger students.

Length of Time: 1-2 Class Periods

The students will physically review the order of operations.

Length of Time: About 45 Minutes

This lesson is designed to help students solve problems involving the four operations, and identify and explain patterns in arithmetic.

Length of Time: About 1 - 2 Class Periods

Using a current list of prices for food and clothing, the students will practice math skills related to percentages.

Length of Time: Two 45 minute periods

Students will learn about probability and statistics while rolling dice and flipping a coin carefully recording their results.

Length of Time: About 1 - 2 Class Periods

The students will practice using geometry formulas measuring items in the classroom to find area and volume, radius and circumference, and identify the types of angles.

Length of Time: About 2-3 class periods

Finding the volumes of miscellaneous-sized containers using a known total measurement of one container. They will do this in as few steps as possible.

7th Grade Math Lesson Plans

Length of Time: 40-50 minutes

Students will learn about using the formulas for the area of squares, rectangles, and triangles to determine how much paint and carpet to purchase for a room. In addition, they will learn about scale measurements.

Length of Time: 3 class periods

Pairs of students will survey other students in the school and then graph the results, as well as come to conclusions based on the information.

Length of Time: 1-2 Class Periods

Students will work in pairs to practice finding the volume of cones, cylinders, and spheres using everyday objects.

Length of Time: 40 - 50 minutes

Students will learn about simple interest and how to calculate the real cost of a loan, credit card, and other types of borrowing.

Length of Time: 45 minutes across 2 to 3 days

This lesson will allow students to show a relationship between numbers and a visual representation in a manner that can be used for younger students.

Length of Time: 1-2 Class Periods

The students will physically review the order of operations.

Length of Time: About 1 - 2 Class Periods

Using a current list of prices for food and clothing, the students will practice math skills related to percentages.

Length of Time: About 1 - 2 Class Periods

The students will practice using geometry formulas measuring items in the classroom to find area and volume, radius and circumference, and identify the types of angles.

Length of Time: About 45 minutes

The students will plan a vacation for themselves, group of friends, or family, considering the costs involved.

8th Grade Math Lesson Plans

Length of Time: 40-50 minutes

Students will learn about using the formulas for the area of squares, rectangles, and triangles to determine how much paint and carpet to purchase for a room. In addition, they will learn about scale measurements.

Length of Time: 1-2 Class Periods

Students will work in pairs to practice finding the volume of cones, cylinders, and spheres using everyday objects.

Length of Time: 40 - 50 minutes

Students will learn about simple interest and how to calculate the real cost of a loan, credit card, and other types of borrowing.

Length of Time: About 1 - 2 Class Periods

Using a current list of prices for food and clothing, the students will practice math skills related to percentages.

Length of Time: About 1 - 2 Class Periods

The students will practice using geometry formulas measuring items in the classroom to find area and volume, radius and circumference, and identify the types of angles.

Length of Time: About 45 minutes

The students will plan a vacation for themselves, group of friends, or family, considering the costs involved.

9th Grade Math Lesson Plans

Length of Time: 40-50 minutes

Students will learn about using the formulas for the area of squares, rectangles, and triangles to determine how much paint and carpet to purchase for a room. In addition, they will learn about scale measurements.

Length of Time: 3-4 Class Periods

Pairs of students will design, plan, and create an imaginary fundraiser for a charitable organization.

Length of Time: 1-2 Class Periods

Students will work in pairs to practice finding the volume of cones, cylinders, and spheres using everyday objects.

Length of Time: About 2 Hours

Based on research the students will design a small town with a pre-determined population, assuring there is enough living space, parking spaces, and a sufficient water supply.

10th Grade Math Lesson Plans

Length of Time: 3-4 Class Periods

Pairs of students will design, plan, and create an imaginary fundraiser for a charitable organization.

Length of Time: About Three Class Periods

For a natural disaster there are many variables to be accounted for when planning help for an area. This lesson will give students the opportunity to create a natural disaster plan for a part of their country.

Length of Time: About 2 Hours

Based on research the students will design a small town with a pre-determined population, assuring there is enough living space, parking spaces, and a sufficient water supply.

11th Grade Math Lesson Plans

Length of Time: 3-4 Class Periods

Pairs of students will design, plan, and create an imaginary fundraiser for a charitable organization.

Length of Time: About Three Class Periods

For a natural disaster there are many variables to be accounted for when planning help for an area. This lesson will give students the opportunity to create a natural disaster plan for a part of their country.

Length of Time: About 2 Hours

Based on research the students will design a small town with a pre-determined population, assuring there is enough living space, parking spaces, and a sufficient water supply.

12th Grade Math Lesson Plans

Length of Time: 3-4 Class Periods

Pairs of students will design, plan, and create an imaginary fundraiser for a charitable organization.

Length of Time: About Three Class Periods

For a natural disaster there are many variables to be accounted for when planning help for an area. This lesson will give students the opportunity to create a natural disaster plan for a part of their country.

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In this section you will find Math lessons from kindergarten through high school. Lessons come with options for modifications and differentiation in order to help you cater to the needs of your studs. Many of the lessons are aligned to Common Core State Standards.

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link.springer.com

·

Feb 06, 2018

Author: Yahya Tabesh

Email: tabesh@sharif.ir

Publish Year: 2018

Digital pedagogy is a learning paradigm that can allow learners to be active partners in discovering and developing their own mathematical knowledge. In this sense, Piaget’s constructivist principles lay the foundation for developing digital pedagogy. In the paper that follows, we present a novel, intuitive, digital mathematical learning model.

https://link.springer.com/chapter/10.1007/978-3-319-72170-5_37

https://digitalhumanities.msu.edu/pedagogy-in-a-digital-age

Oct 14, 2015 · In order to critically choose and strategically implement digital tools and resources in their mathematics teaching, teachers must develop an internal professional framework for …

Estimated Reading Time: 9 mins

What Is Digital Pedagogy? - Sean Michael Morris

https://www.seanmichaelmorris.com/what-is-digital-pedagogy

Mar 10, 2014 · Our digital pedagogy must inevitably acknowledge the ability of students to control and choose containers for their own learning. We cannot compensate for all the ways that …

Estimated Reading Time: 6 mins

https://www.itnewsafrica.com/2018/07/digital...

Jul 30, 2018 · The pupils will attend virtual real-time classes, while teachers at the school will receive a full Grade 8 to matric package on Science and Mathematics, including daily lessons, …

Estimated Reading Time: 5 mins

Video Courses in Algebra, Trig | Calculus, Physics, Chemistry

https://www.mathtutordvd.com

Ad1,500+ Lessons - 100,000+ Students - 1,300+ 5-Star Reviews - Learn Fast & Raise Grades!

Member Benefits · Math Tutor · Homework Help · Video Lessons

Types: Periodic Table, Pre-Algebra, Learn More, Message Boards, Physics and more

5/5 (2,811 reviews)

Fun Science App for Kids | 10,000+ Learning Activities.

https://www.abcmouse.com/learning

Ad10,000+ learning activities, games, books, songs, art, and much more! Step-by-Step Learning Path designed to help kids learn math, reading, science, and more.

Parents' Choice Winner · Award-Winning Program · Completely Child Safe · Full Online Curriculum

Types: Phonics, Sight Words, Counting Numbers, Addition and Subtraction

"Good fit for families looking for a wide variety" – www.USAToday.com

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digital pedagogy in maths and science - Search

# data[].attributes.attachment_link.description
Kapdec - Live Interactive Maths and Science tuitions with digital classrooms to supplement online learning. Join Kapdec's online learning program by top educators, course covered for grade 5 to 10 with video lectures and questions with solutions. ... Our academic counselors will help you and your child understand our learning pedagogy and find ...

# data[].attributes.attachment_link.readable_text
link.springer.com

·

Feb 06, 2018

Author: Yahya Tabesh

Email: tabesh@sharif.ir

Publish Year: 2018

Digital pedagogy is a learning paradigm that can allow learners to be active partners in discovering and developing their own mathematical knowledge. In this sense, Piaget’s constructivist principles lay the foundation for developing digital pedagogy. In the paper that follows, we present a novel, intuitive, digital mathematical learning model.

https://link.springer.com/chapter/10.1007/978-3-319-72170-5_37

https://digitalhumanities.msu.edu/pedagogy-in-a-digital-age

Oct 14, 2015 · In order to critically choose and strategically implement digital tools and resources in their mathematics teaching, teachers must develop an internal professional framework for …

Estimated Reading Time: 9 mins

What Is Digital Pedagogy? - Sean Michael Morris

https://www.seanmichaelmorris.com/what-is-digital-pedagogy

Mar 10, 2014 · Our digital pedagogy must inevitably acknowledge the ability of students to control and choose containers for their own learning. We cannot compensate for all the ways that …

Estimated Reading Time: 6 mins

https://www.itnewsafrica.com/2018/07/digital...

Jul 30, 2018 · The pupils will attend virtual real-time classes, while teachers at the school will receive a full Grade 8 to matric package on Science and Mathematics, including daily lessons, …

Estimated Reading Time: 5 mins

Video Courses in Algebra, Trig | Calculus, Physics, Chemistry

https://www.mathtutordvd.com

Ad1,500+ Lessons - 100,000+ Students - 1,300+ 5-Star Reviews - Learn Fast & Raise Grades!

Member Benefits · Math Tutor · Homework Help · Video Lessons

Types: Periodic Table, Pre-Algebra, Learn More, Message Boards, Physics and more

5/5 (2,811 reviews)

Fun Science App for Kids | 10,000+ Learning Activities.

https://www.abcmouse.com/learning

Ad10,000+ learning activities, games, books, songs, art, and much more! Step-by-Step Learning Path designed to help kids learn math, reading, science, and more.

Parents' Choice Winner · Award-Winning Program · Completely Child Safe · Full Online Curriculum

Types: Phonics, Sight Words, Counting Numbers, Addition and Subtraction

"Good fit for families looking for a wide variety" – www.USAToday.com

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digital pedagogy in maths and science - Search

# data[].attributes.attachment_link.description
Kapdec - Live Interactive Maths and Science tuitions with digital classrooms to supplement online learning. Join Kapdec's online learning program by top educators, course covered for grade 5 to 10 with video lectures and questions with solutions. ... Our academic counselors will help you and your child understand our learning pedagogy and find ...

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Contact details

Australian Curriculum, Assessment and Reporting Authority (ACARA)

Level 13, Tower B, Centennial Plaza,
280 Elizabeth Street, Sydney, NSW 2000

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This element involves students developing an understanding of how social and ethical protocols and practices are applied when using ICT. Students apply appropriate practices to recognise the intellectual property for digital information of themselves and others.

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IXL is an online math site that offers printable resources and online tasks that students can work through. Teachers can assign these tasks for  their students to work through and have access to the results as to see what they need more help with.

use in my class:
- use to monitor student progress
- useful for learners who progress quickly to move ahead

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By selecting "remember" you will stay signed in on this computer until you click "sign out." If this is a public computer please do not use this feature.

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Company | Membership | Blog | Help centre | User guides | Tell us what you think | Testimonials | Careers | Contact us | Terms of service | Privacy policy

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OneNote became popular during 2020 quarantine as it is a useful online sharing platform that allowed teachers to upload content and perform lessons regularly. Even though we are past the lockdowns (hopefully!!?) it is still widely used in schools as a way to ensure students who miss lesson an catch up in their own time. OneNote is especially useful as you can upload many different types of files (word, PowerPoint, Videos, Voice recordings etc) so that students can learn the way in which suits them best.

use in my classroom:
- updated with classwork to aide those who miss lessons
- provide alternate formats for work (eg: electronic copy for those with learning needs)
- way to communicate with students about work/drafts/extra  assistance etc.
- provide online space for collaborative work

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The more you learn about OneNote, the more likely you are to embrace it as one of the best teaching and learning tools available today.

OneNote is often described as a digital 3-ring binder, or considered to be the Swiss Army Knife of note-taking. That description covers the basics, but over the years OneNote has gained many new features designed with education in mind. It has now blossomed into a comprehensive teaching and learning framework that belongs in every learner's toolbox.
These are just 10 great ways in which OneNote earns its place in your classroom:
1. Organizing

OneNote is versatile and adapts to anyone's note-taking preferences. You can organize digital notebooks by Sections and Pages in a way that makes sense to you. Some like to organize information based on time; Week 1, Week 2, Week 3, etc. Others like to organize by content; Chapter 1, Chapter 2. Chapter 3, etc. Others just throw everything together in a pile with little or no organization at all, which is just as valid a choice in OneNote.

2. Accessing, collaborating, and sharing content

Note-taking no longer needs to be a fleeting or lonely experience. With technologies like OneNote, teachers can help students learn long after class time is over. Notes persist over time and can be referred to often for review and deeper understanding.

You can access notes easily and share them with other students to contribute together in near real-time through peer collaboration. Notes can be automatically synced to OneDrive and accessed from a laptop, tablet, or even a mobile phone, long after the lesson is over. It's like having your own copy of every note ever taken available, from any device that can hop online, any time and any day of the year.

3. Presenting content

Oftentimes text is not enough to get your point across. With OneNote, you can easily add text, images, audio, video and digital ink to any page. OneNote also uses an infinite canvas that lets you expand, at will, to add more notes as you need. Try that with a physical piece of paper.

When presenting live, you can pinch and zoom to enlarge areas of the screen you want the audience to pay attention to. Notes can be typed or handwritten, and with free-form digital ink you can annotate documents to draw attention to a particular point. You can easily insert pictures such as screen clips, or add pictures ad hoc via your mobile phone - in the middle of presenting - to address live questions from the audience.

4. Allowing flexible teaching styles

There are many things to manage in the classroom and OneNote lets the teacher decide upon the best pedagogy to use for a given situation. OneNote allows for easy review of older material and provides multiple methods for formative feedback in the moment that it is most effective.

Adding new content is just as easy and a teacher can individualize instruction based upon any student's needs and interests. Flipped-classroom type resources can be organized by scope and sequence to meet individual needs, and can be verified with checks for understanding by using Microsoft Forms.

5. Getting messy with digital ink

Learning is messy and OneNote provides the free-form tools to help you (and your students) think through it. When we first learn something new, we do not yet have all the pieces required to make sense of a topic. We often collect and gather artifacts for learning (OneNote excels at this) but we must also process new learning by combining, re-combining, and assimilating new information. Before we can get to the polished, high-fidelity output a computer can produce, we must first struggle with basic conceptual understanding. Learning is about making meaning and thinking, not just transcribing notes with a keyboard.

6. Presenting wirelessly

I often present content untethered from the front of the classroom using Miracast with my Surface Pro tablet. The pedagogy this enables in face-to-face environments allows for free movement around the room, providing a more effective and responsive learning environment for both myself and my students.

7. Unleashing learning across devices like a symphony

In a world of Bring Your Own Device (BYOD), being able to access your notes on a variety of different devices is liberating. You can use OneNote on a PC, Mac, Linux, iOS, Android, and even Chromebook devices. I often use my Android phone at the same time I am using OneNote on my PC, while presenting. I can use my mobile phone to add pictures on-the-fly in near real-time and notes are automatically synced to all the devices I use routinely. This multi-device use while teaching and presenting opens up another world for just-in-time learning. Taking advantage of those "teachable moments" has never been easier.

8. Searching and tagging

Getting my notes into OneNote is one thing, but the true value of note-taking is being able to retrieve that information, at will, when and where you need it. With OneNote your notes are searchable. You can also tag your notes with ready-made tags, or create custom tags of your own to easily find specific notes. OneNote will even search the text within images (OCR) and within handwritten notes (if they are legible, that is).

9. Holding the "SuperNotebook of Notebooks"

Imagine having 24/7 access to the digital binders for every single student in your class. With OneNote Class Notebook you have exactly that - and no more lugging around physical 3-ring binders. With OneNote Class Notebook, all of your students' notebooks are just a click away.

10. Empowering you to teach the world

With OneNote, you are in control. If you want to scribble and doodle with digital ink, you can. If you want to keep a private notebook, you can. If you want to share a notebook with the world, you can. If you want to record an audio comment for one of your students, you can. If you want to handwrite a complicated mathematical equation, compose music, or sketch your latest invention with digital ink, you can do that too. If you want to embed an online video for a flipped learning lesson, go ahead. If you want to individualize instruction using Microsoft Forms and set up an auto-graded quiz as a check for understanding, you can. If you want to embed multimedia content like YouTube videos, do it. If you want to have your notes read back to your students using the new OneNote Learning Tools, you can.

And if you want to use OneNote in any of the ways I've shared above, now you can.

Keep on Learning,

Tom Grissom, Ph.D.

Eastern Illinois University

Twitter: @tomgrissom
Tom Grissom, Ph.D. is the Director of the Instructional Technology Center at Eastern Illinois University. The ITC is one of the premier teacher education resource centers in the State of Illinois serving the faculty, staff, and students in the College of Education & Professional Studies. Dr. Grissom is a Microsoft Innovative Education Expert (MIEE) and focuses on the strategic implementation of technologies to improve teaching and learning. His specialties include the use of OneNote notebooks and digital inking in the classroom and beyond.

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10 best uses for OneNote in your teaching and learning

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The more you learn about OneNote, the more likely you are to embrace it as one of the best teaching and learning tools available today. OneNote is often described as a digital 3-ring binder, or considered to be the Swiss Army Knife of note-taking.

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Desmos aides students in developing a deeper understanding of mathematics as students can utilise Desmos' free website to visualise graphs once online accessible through expensive graphing calculators. Desmos also has the option for students to interact with games that are inquiry based.

Use in my classroom:
- provide visual of large graphs (y= x^2 is infinite so desmos would demonstrate this)
- provide interactive graphs so students can determine x-intercepts etc
- allow for students to discover what happens when one variable is changed on their own.

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Return to Utilizing Desmos Activity Builder in the Mathematics Classroom

Objective: By the end of unit 1, a participant should be able to explain the benefits that Desmos and Desmos Activity Builder brings to the mathematics classroom and how they are changing mathematics teaching.

Introduction

New standards in mathematics promote students have a deeper conceptual understanding of mathematics and how they can be applied in the real world. Incorporating various forms of technology is an essential component of building this comprehension. The National Council of Teachers of Mathematics (NCTM) holds the position that, "It is essential that teachers and students have regular access to technologies that support and advance mathematical sense making, reasoning, problem solving, and communication. Effective teachers optimize the potential of technology to develop students' understanding, stimulate their interest, and increase their proficiency in mathematics. When teachers use technology strategically, they can provide greater access to mathematics for all students." (NCTM 2011) Desmos provides teachers will an easily accessible technology that promotes inquiry-based learning to build mathematical understanding in students.

What is Desmos?

Desmos is a free online graphing calculator created by Dan Myer and Eli Luberoff. The calculator can be downloaded as an app to numerous devices including phones, iPads, and other handheld devices. Desmos is changing the mathematics classroom. For decades handheld graphing calculators have dominated in the mathematics classroom. Now Desmos offers an entirely free app that is relatively easy for students and teachers to learn. As Sara Vanderwerf stated on her blog "DESMOS IS A GAME CHANGER. Desmos is an equity and access answer for all our students." (2016) In my own experience in the classroom, I see students who are hesitant to utilize the handheld graphing calculators effortlessly use the Desmos graphing calculator.

What can students do on Desmos? The Desmos graphing calculator has much of the features of a handheld graphing calculator. Basic operations are computed. Functions and non-functions can be graphed without changing the mode. Trigonometric functions can be utilized in both radians and degrees. Regression equations can be calculated.

Please take a few minutes to explore the on-line Desmos Graphing Calculator: https://www.desmos.com/ Simply click on the Start Graphing button to begin using the graphing calculator. If you take a few minutes to created an account, you will be able to save your graphs for other purposes later.

Here is a webinar that you can watch to become familiar with the Desmos Graphing Calculator https://www.youtube.com/watch?v=5BpKOfq-H58

Desmos Activity Builder

Desmos Activity Builder provides teachers with the tools to create online Desmos-based classroom activities. Activity creators can build a series of screens that walk a student through interactive activities. Screens may ask a student to graph or answer a question based on a graph. Another screen may ask students to match cards that belong together in a mathematical manner. While learners move through the inquiry-based activities, teachers can monitor student progress and understanding while watching the dashboard. If an instructor notices a misconception performed by numerous pupils, the activity may be paused. Other Desmos activities provide interactive math games that teachers can use to build and assess mathematical language. Desmos Activity Builder is a great way to engage students and build inquiry skills.

Sample Activities

To explore classroom activities, follow this link: https://teacher.desmos.com/ Please start by creating your own free account. Once you have an account, you can create your own activities. You are ready to start exploring. Be sure to bookmark your favorite existing activities. You can search for an activity on a specific topic using the search bar at the top of the screen or you can choose from the listed options on the left. Previewing activities allows you to work through the activity as a student would.

Desmos Activity Builder provides teachers with a number of options for activities. The activities can be as simple or detailed as you desire. Here are a few activities that give you a taste of the possibilities:

Polygraphs

Polygraphs, such as https://teacher.desmos.com/polygraph/custom/56ec19cad56751cb087d4b0d, are a guessing game between two classmates. Each student is paired with another student. One is the "picker" and the other the "questioner." After the "picker" chooses one graph or picture, the "questioner" asks yes or no questions and uses the answers to narrow down the correct graph or picture. It is very similar to the game "Guess Who?" I have use polygraphs with all levels of students from beginning Algebra through Pre-Calculus. It is an effective tool if your goal is to build your students' mathematical language.

Marble Slides

In Marble Slides, such as https://teacher.desmos.com/marbleslides-parabolas, students are able to manipulate their graphs by changing specific constants in the given equation. The object is for students to make the marbles hit each star when they are dropped. Marble Slides can work with nearly any level of students who is learning to graph. It is a great way to incorporate piecewise functions as students learn how to limit the domain.

With Card Sort activities, such as https://teacher.desmos.com/activitybuilder/custom/582772edaaede8571b3df6db, students are able to group images, graphs, and/or words/phrase that are similar. I created this sample activity for my algebra students. Learners were to group all the functions together and all the non-functions together. As a creator of the activity, you can insert graphs, images, or words. A variety of math levels, including elementary, would benefit from utilizing card sorts. The instructor can view the dashboard to quickly assess which students are grouping cards correctly.

Simulations

With Simulations, such as https://teacher.desmos.com/carnival, students are able to make mathematical predictions and then compare their predictions with the computers answer. This specific activity was built by Desmos.com and is available for anyone to use. Here students watch a carnival ride, such as a Ferris Wheel, and attempt to create a graph that represent the blue chairs distance from the ground. You can follow up this activity with Function Carnival, Part Deux. I found that the simulation assists students in comprehending that what they see will not match the shape of the graph.

The following article on MindShift by Katrina Schwartz details the many ways that Desmos is changing how mathematics is being taught: https://ww2.kqed.org/mindshift/2016/04/06/could-this-digital-math-tool-change-instruction-for-the-better/

Reflection

After reading the article and viewing the various options for activities, discuss the following questions with a partner:

1) How would utilizing Desmos Graphing Calculator and Desmos Activity Builder change how you teach mathematics?

2) What benefits would the Desmos Graphing Calculator and Desmos Activity Builder bring to your students?

3) Did you find the sample activities engaging? How do you think your students would react to these types of activities?

4) After viewing sample activities and seeing the possibilities in Desmos Activities, into what specific lessons would you like to integrate Desmos Activities?

Please enter your response into this Google Form: https://docs.google.com/forms/d/e/1FAIpQLSdwaY1rgHDoPqev1lR4SmkrWwNqROsbN4cbvRcG673Wdi2T4Q/viewform You will also be able to read responses from other teachers who have participated.

Unit 2: Incorporating Desmos and Desmos Activities into Mathematics Lessons

Resources and References

Bensley, J. (2016, March) Polygraph: Ellipse. Retrieved from https://teacher.desmos.com/polygraph/custom/56ec19cad56751cb087d4b0d

Bensley, J. (2016, November) Funstion sort. Retrieved from https://teacher.desmos.com/activitybuilder/custom/582772edaaede8571b3df6db

Desmos. (2016, May 12) Webinar: Introduction to desmos graphing calculator [Video file]. YouTube. Retrieved from https://www.youtube.com/watch?v=5BpKOfq-H58

Desmos. (n.d.) Function carnival. Retrieved from https://teacher.desmos.com/carnival

Desmos. (n.d.) Marbleslides: Parabolas. Retrieved from https://teacher.desmos.com/marbleslides-parabolas

K. Schwartz. (2016, April 6) Could this digital math tool change instruction for the better? [Web log comment] Retrieved from: https://ww2.kqed.org/mindshift/2016/04/06/could-this-digital-math-tool-change-instruction-for-the-better/

NCTM (2011) Technology in Teaching and Learning Mathematics. Retrieved from http://www.nctm.org/Standards-and-Positions/Position-Statements/Technology-in-Teaching-and-Learning-Mathematics/

S. Vanderwerf. (2016, July 28) Evangelizing desmos. [Web log comment] Retrieved from: https://saravanderwerf.com/2016/07/28/evangelizing-desmos/

S. Vanderwerf. (2016, April 29) Duluth desmos training. [Web log comment] Retrieved from: https://saravanderwerf.com/2016/04/29/duluth-desmos-training/

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Unit 1: Benefits of Utilizing Desmos and Desmos Activity Builder

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Return to Utilizing Desmos Activity Builder in the Mathematics Classroom New standards in mathematics promote students have a deeper conceptual understanding of mathematics and how they can be applied in the real world. Incorporating various forms of technology is an essential component of building this comprehension.

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by Pronita Mehrotra

In a by the US Department of Education, 81% of 4th graders reported having a positive attitude towards mathematics, but that number drops significantly to 35% for 8th graders. Somehow, in the span of four years, children lose their interest in the subject, and as a result, their performance declines. Professor Eric Mann that " keeping students interested and engaged in mathematics by recognizing and valuing their mathematical creativity may reverse this tendency ."

In fact, research has that creativity can actually help students acquire content knowledge. But, how can we encourage creativity in mathematics, a subject usually considered linear and inflexible? Several researchers have found ways to make math more creative, fun and engaging. Here are five simple ways to add more creativity in mathematics.
1. Make Problems Open-Ended
Giving students open-ended problems where multiple solutions are possible, as opposed to the traditional one right answer problems, allow students to experience the first stages of mathematical creativity . Traditional mathematical problems can be converted into open-ended problems relatively easily. Consider an where students have to find the volume of an aquarium that is 12in wide by 14in long by 12in high. An open-ended version of the same problem was:
You have been asked to design an aquarium in the shape of a rectangular prism for the school visitor's lounge. Because of the type of fish being purchased, the pet store recommends that the aquarium hold 24 cubic feet of water. Find as many different dimensions for the aquarium as possible. Then decide which aquarium you would recommend for the lounge and explain why you made that choice.
The open-ended nature of the problem allowed students to compute multiple options and use additional strategies in picking their final design. For instance, one group picked 8ft long by 1ft wide by 3 ft tall as the length allowed teachers and visitors to not crowd around the aquarium.
2. Have Students Create Their Own Problems
Problem finding , or problem posing, in any domain, is considered to be an important and integral aspect of creativity. For this activity, students are asked to come up with as many different problems as they can with a given situation. For example, consider the following situation:
5 boys and 5 girls are standing in a line.
A simple problem based on this situation, which uses just addition, is "what is the total number of children in the line?" However, many other problems could be posed using different areas of math including combinatorics ("if no child gets surrounded on both sides by children of the same gender, how many different ways could you form the line?") Research studies have found that creative students are able to pose questions from different fields of mathematics including less obvious fields.
3. Build Divergent Thinking Skills
Mathematical problems that challenge students to think in different ways help build divergent thinking skills. An of such a problem from the Creative Ability in Mathematics Test is:
Suppose that instead of paper or whiteboard, you could only draw geometry figures on a large ball or a globe. List all the possible things that would happen as a result of doing geometry on the ball. For example, if we started drawing a "straight" line on the ball, we will eventually end up where we started.
Some of the more common responses are that geometrical figures would be distorted and measurement of distance would be different. Less common responses that reflect higher originality include that Pythagorean theorem would change or that there would be a need to establish a new mathematical system.
4. Overcome Fixation
A key aspect of creativity is to break free from routine patterns of thinking (flexible thinking). By forcing students to drop their established mindsets helps them in examining a problem from different perspectives and arriving at better solutions. In the same , Haylock gave students a series of questions in which the students are asked to find two numbers given their sum and difference. The first few examples use only positive integers, which sets the student's mindset to expect solutions that use only positive whole numbers. Then the students are asked:
Find two numbers where the sum is 9 and the difference is 2.
A surprisingly large number of students assert that this is not possible. To get the right solution (5.5 and 3.5), they need to remove the self-imposed constraint of using only whole numbers.
5. Encourage Analogical Thinking
While analogical thinking is often considered relevant in the scientific domain, it is a cognitive skill that underlies creative thinking and is equally relevant in mathematics and other fields.

George Polya , the renowned mathematician, recommends asking students questions as they solve a problem that taps into their analogical thinking. For example, "Can you know of a related problem?" or "Can you think of a simpler problem?" and similar questions can nudge students towards using analogical thinking in problem solving.

Consider the following problem by Polya:
The vertex of a pyramid opposite the base is called the apex. Let us call a pyramid "isosceles" if its apex is at the same distance from all vertices of the base. Adopting this definition, prove that the base of an isosceles pyramid is inscribed in a circle, the center of which is the foot of the pyramid's altitude.
In this case, by using the analogous theorem for isosceles triangles - the foot of the altitude is the mid-point of the base in an isosceles triangle - it becomes much easier to solve for the pyramid case.

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5 Simple Ways to Add Creativity in Mathematics | edCircuit

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In a study by the US Department of Education, 81% of 4th graders reported having a positive attitude towards mathematics, but that number drops significantly to 35% for 8th graders. Somehow, in the span of four years, children lose their interest in the subject, and as a result, their performance declines.

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Math class can move pretty fast. There's so much to cover in the course of a school year. And if your child doesn't get a new math idea right away, they can quickly get left behind.

If your child is struggling with basic math problems every day, it doesn't mean they're destined to be bad at math. Some students need more time to develop the problem-solving skills that math requires. Others may need to revisit past concepts before moving on. Because of how math is structured, it's best to take each year step-by-step, lesson by lesson.

This article has tips and tricks to improve your child's math skills while minimizing frustrations and struggles. If your child is growing to hate math, read on for ways to improve their skills and confidence, and maybe even make math fun!

But first, the basics.

The importance of understanding basic math skills

Math is a subject that builds on itself. It takes a solid understanding of past concepts to prepare for the next lesson.

That's why math can become frustrating when you're forced to move on before you're ready. You're either stuck trying to catch up or you end up falling further behind.

But with a strong understanding of basic math skills, your child can be set up for school success. If you're unfamiliar with the idea of sets or whole numbers, this is a great place to start.

What are considered basic math skills?

The basic math skills required to move on to higher levels of math learning are:

Addition - Adding to a set.

Subtraction - Taking away from a set.

Multiplication - Adding equal sets together in groups (2 sets of 3 is the same as 2x3, or 6).

Division - How many equal sets can be found in a number (12 has how many sets of two in it? 6 sets of 2).

Percentages - A specific amount in relation to 100.

Fractions & Decimals - Fractions are equal parts of a whole set. Decimals represent a number of parts of a whole in relation to 10. These both contrast with whole numbers.

Spatial Reasoning - How numbers and shapes fit together.

How to improve math skills

People aren't bad at math - many just need more time and practice to gain a thorough understanding.

How can you help your child improve their math abilities? Use our top 9 tips for quickly and effectively improving math skills.

1. Wrap your head around the concepts

Repetition and practice are great, but if you don't understand the concept, it will be difficult to move forward.

Luckily, there are many great ways to break down math concepts. The trick is finding the one that works best for your child.

Math manipulatives can be a game-changer for children who are struggling with big math ideas. Taking math off the page and putting it into their hands can bring ideas to life. Numbers become less abstract and more concrete when you're counting toy cars or playing with blocks. Creating these "sets" of objects can bring clarity to basic math learning.

2. Try game-based learning

During math practice, repetition is important - but it can get old in a hurry. No one enjoys copying their times tables over and over and over again. If learning math has become a chore, it's time to bring back the fun!

Game-based learning is a great way to practice new concepts and solidify past lessons. It can even make repetition fun and engaging.

Game-based learning can look like a family board game on Friday night or an educational app, like Prodigy Math Game.

Take math from frustrating to fun with the right game, then watch the learning happen easily!
Get a free Prodigy account now
3. Bring math into daily life

You use basic math every day.

As you go about your day, help your child see the math that's all around them:

Tell them how fast you're driving on the way to school

Calculate the discount you'll receive on your next Target trip

Count out the number of apples you need to buy at the grocery store

While baking, explain how 6 quarter cups is the same amount of flour as a cup and a half - then enjoy some cookies!

Relate math back to what your child loves and show them how it's used every day. Math doesn't have to be mysterious or abstract. Instead, use math to race monster trucks or arrange tea parties. Break it down, take away the fear, and watch their interest in math grow.

4. Implement daily practice

Math practice is important. Once you understand the concept, you have to nail down the mechanics. And often, it's the practice that finally helps the concept click. Either way, math requires more than just reading formulas on a page.

Daily practice can be tough to implement, especially with a math-averse child. This is a great time to bring out the game-based learning mentioned above. Or find an activity that lines up with their current lesson. Are they learning about squares? Break out the math link cubes and create them. Whenever possible, step away from the worksheets and flashcards and find practice elsewhere.

5. Sketch word problems

Nothing causes a panic quite like an unexpected word problem. Something about the combination of numbers and words can cause the brain of a struggling math learner to shut down. But it doesn't have to be that way.

Many word problems just need to be broken down, step by step. One great way to do this is to sketch it out. If Doug has five apples and four oranges, then eats two of each, how many does he have left? Draw it, talk it out, cross them off, then count.

If you've been talking your child through the various math challenges you encounter every day, many word problems will start to feel familiar.

6. Set realistic goals

If your child has fallen behind in math, then more study time is the answer. But forcing them to cram an extra hour of math in their day is not likely to produce better results. To see a positive change, first identify their biggest struggles. Then set realistic goals addressing these issues.

Two more hours of practicing a concept they don't understand is only going to cause more frustration. Even if they can work through the mechanics of a problem, the next lesson will leave them feeling just as lost.

Instead, try mini practice sessions and enlist some extra help. Approach the problem in a new way, reach out to their teacher or try an online math lesson. Make sure the extra time is troubleshooting the actual problem, not just reinforcing the idea that math is hard and no fun.

7. Engage with a math tutor

If your child is struggling with big picture concepts, look into finding a math tutor. Everyone learns differently, and you and your child's teacher may be missing that "aha" moment that a little extra time and the right tutor can provide.

It's amazing when a piece of the math puzzle finally clicks for your child. If you're ready to get that extra help, try a free 1:1 online session from Prodigy Math Tutoring. Prodigy's tutors are real teachers who know how to connect kids to math. With the right approach, your child can become confident in math - and who knows, they may even begin to enjoy it.

8. Focus on one concept at a time

Math builds on itself. If your child is struggling through their current lesson, they can't skip it and come back to it later. This is the time to practice and repeat - re-examining and reinforcing the current concept until it makes sense.

Look for other ways to approach new math ideas. Use math manipulatives to bring numbers off the page. Or try a learning app with exciting rewards and positive reinforcement to encourage extra practice.

Take a step back when frustrations get high - but resist the temptation to just let it go. Once the concept clicks, they'll be excited to forge ahead.

9. Teach others math you already know

Even if your child is struggling in math, they've still learned so much since last year. Focus on the improvements they've made and let them showcase their knowledge. If they have younger siblings, your older child can demonstrate addition or show them how to use a number line. This is a great way to build their confidence and encourage them to keep going.

Or let them teach you how they solve new problems. Have your child talk you through the process while you solve a long division problem. You're likely to find yourself a little rusty on the details. Play it up and get a little silly. They'll love teaching you the ropes of this "new math."

Embracing technology to improve math skills

Though much of your math learning was done with pencil to paper, there are many more ways to build number skills in today's tech world.

Your child can take live, online math courses to work through tough concepts. Or play a variety of online games, solving math puzzles and getting consistent practice while having fun.

These technical advances can help every child learn math, no matter their preferred learning or study style. If your child is a visual learner, there's an app for that. Do they process best while working in groups? Jump online and find one. Don't keep repeating the same lessons from their math class over and over. Branch out, try something new and watch the learning click.

Look online for more math help

There are so many online resources, it can be hard to know where to start.

At Prodigy, we're happy to help you get the ball rolling on your child's math learning, from kindergarten through 8th grade. It's free to sign up, fun to play and exciting to watch as your child's math understanding grows.

Sign up for a free parent account and get instant data on your child's progress as they build more math skills with Prodigy Math Game. It's time to take the math struggle out of your home and enjoy learning together!
Get a free Prodigy account now

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9 Ways to Improve Math Skills Quickly & Effectively

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Math class can move pretty fast. There's so much to cover in the course of a school year. And if your child doesn't get a new math idea right away, they can quickly get left behind. If your child is struggling with basic math problems every day, it doesn't mean they're destined to be bad at math.

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There always seems to be a new debate about the best way to teach math or which curriculum is the best. I also hear often from homeschool moms who love and feel confident teaching reading, yet feel uncertain and ill-equipped to teach math. Today I am not trying to put any debates to rest or say that I have the final answer to math education questions, I simply want to share some ideas to help you wherever you are, and hopefully show that teaching math doesn't have to be difficult or scary. You may also be surprised to hear it isn't as far away from teaching reading as it seems. Because you can actually use helpful and recognized literacy strategies to teach math!
*Please Note: Some of the links in this post are affiliate links and help support the work of this site. Read our full disclosure here.*
I've recently been reading a book by Laney Sammons called, Building Mathematical Comprehension. It is an excellent resource and if you are interested in learning more and seeing more examples and in depth analysis of these strategies, I highly recommend it.

As I've read through and considered various literacy strategies, it has struck me that applying these strategies to math seems so obvious, and yet, it's not something I have heard or thought of before.

For instance, she makes the point that the goal of reading instruction is to comprehend and apply. The same is true of math! The goal of teaching and learning math is not to be able to compute or work through algorithms or memorize facts. It is to understand. To comprehend the meaning of all the numbers and their connections to each other and then apply that to real life.

So if you're familiar with these strategies, I hope this will give you new insight into how you can apply them to math instruction, and if you're not familiar with these strategies, I hope this will be packed full of useful information for you!

5 Ideas for Using Literacy Strategies to Teach Math:

1. Teach Math Vocabulary

In reading, vocabulary (and figuring out unknown words) is an essential component of comprehension. In math, the task of knowing and determining unknown vocabulary is even more challenging because there are words that are specific to math and not used in everyday conversation.

Math is a foreign language and it is important that we don't take for granted the language used to talk about and describe math problems and situations. The good thing is, there are lots of different ways you can teach and help kids understand math specific vocabulary.
Here are just a few ideas:

Have a "word wall" in your home or classroom to expose kids to math specific words and start discussions

Encourage students to explain their thinking when they solve a problem using math words. If they explain in a way that doesn't incorporate the correct vocabulary, rephrase it for them using appropriate terms

Use "word sorts" to allow students to make connections between various words and mathematical operations (for example, sort words like "add, altogether, in total, plus, etc." under the addition symbol

Have math talks and encourage (and model yourself) the use of math specific vocabulary

Incorporate writing into your lessons to allow students to write about mathematical experiences, or explain a solution in their own words using math vocabulary

Use graphic organizers such as a Frayer diagram or Venn diagram to compare words, find examples, etc.

Read math stories (this is one of my favorites!)

Related: The Importance of Math Vocabulary
2. Use Schema (a.k.a prior knowledge)

Every child has a schema, or set of knowledge, that is unique to them. Each child's schema will be varied in its breadth and depth. Some may overlap, some may have a lot of prior knowledge (some may have a much larger vocabulary, for instance) while others may have virtually no prior knowledge.

It's important, however, in reading and math, to try and start with what they know and build on that knowledge. In fact, according to Marzano, research suggests that "what students already know about the content is one of the strongest indicators of how well they will learn new information relative to the content." (This also means you may need to spend time determining what they know before you start).

By starting with something familiar, students can then make a connection from the new concept to what they already know, helping to make sense of the new ideas, as well as helping with retention.

This is the reason the first few lessons in my introduction to multiplication bundle focus on reinforcing and understanding repeated addition. This allows kids to take something familiar (addition) and think about it in a new way (repeated addition) and then form a connection from repeated addition to multiplication.

So when you are planning math lessons, it is helpful for students if you start with the familiar and work towards building a bridge to new content.

But it is also important to help students see how they can do this on their own to help them solve problems. When they look at a math problem, have them first ask themselves, "What do I know?" and then write that down. Look for things that are familiar (such as known vocabulary words) and see if that provides any insight into how to solve the problem.

A popular method in reading instruction is to use a KWL chart (What do I KNOW, what do I WANT to know, and then what did I LEARN). This could easily be used when learning a new math concept as well, helping kids make those important connections!
Related: Teaching Readers to Use Their Schema
3. Make Connections

This leads me to the next literacy strategy: making connections. Helping kids use their prior knowledge gives them something to connect a new concept to.

But students can make connections in other ways as well, and this is a very useful strategy to help them learn, apply and remember new math concepts.
Types of math connections:
All of math is interconnected, and it's important to help kids see the connections between one math concept and another. We also then, have to find ways to make connections between the math they're learning and their life, and help them see math in the world around them.

One way you can help kids form connections is to plan lessons in which connections are abundant. Be intentional in the way you present new topics. Teach it in a way that uses all sorts of other math to see and learn the new math idea.

Sometimes it is helpful to point out these connections to students, and other times, encourage them to make the connections on their own. Eventually, you want seeing and making connections to be a habit, natural and automatic for kids.
Ideas for helping kids make mathematical connections:

Have a daily "how did you use math yesterday?" discussion

Keep math journals documenting math situations or connections

If you're a classroom teacher, encourage parents to have "math talks" or go on "math walks" at home

Read the book Math Curse and spend time discussing it and other ways we see and use math (get FREE resources to use with this book here)

Related: Making connections to help with reading comprehension
4. Make predictions

Making predictions and inferences is an important reading comprehension strategy, and adapting that to math instruction is vital. As Laney Sammons states,

"Students need to know that making predictions that are then proved or disproved is a process mathematicians have used throughout history."

Having an idea about how to solve a problem and then seeing that that is either a valid method or not is what we do as mathematicians. It's the crux of the problem solving process. Play around with ideas and numbers and see what happens.
Related: 8 reasons making mistakes in math is a good thing
The problem is, this is not normally how math is taught. Often, students are told, "Here is the process. Do each problem exactly like this." Students then memorize a procedure without understanding the concept or making any connections to prior knowledge or their world.

Instead, encourage exploration. Encourage mistakes, and then have students analyze why a method did or did not work. Then have them try again.

Help them look for patterns and see if they can generalize their observations.

Just as students can make predictions about how to solve problems, they should also be in the habit of predicting the solution. This is called estimating.

Unfortunately, this is a rarely taught skill, and is usually only seen in the form of, "How many balls do you think are in this jar?"

Helping kids get in the habit of estimating the solution is important though, because it will help them to self check and make sure that the answer makes sense in the context of the problem. They can use what is given in the problem as well as their prior knowledge to make predictions about the solution.

For instance, in an addition problem, students should know that the final solution must be larger than the numbers they are adding.

In more challenging problems, they should think about whether the solution should be positive or negative, large or small, a whole number or a fraction, exactly one solution or more than one solution, etc.

I think the best way to encourage this kind of estimating is to constantly model it for kids. Talk out loud as you solve a problem and explain why you think the answer will be large and positive. Then talk through your thinking as you do the math.

Related: Making predictions as you read and Using inferences to help with comprehension

5. Teach kids to visualize

Just like reading a story creates a visual image in our minds, math problems should as well. When using visualizing to help with reading comprehension, it's a good idea to underline or circle visual words (adjectives).

Kids can do this with math word problems as well. Circle words that paint a picture and provide important information, and then use those words to draw a picture.

Visualizing and drawing a picture is a helpful strategy because it provides kids with a mental image which will help them remember what they've learned.

It can also help them break down a problem into easier to understand parts to make sense of it. If a problem seems overwhelming at first glance, spending time circling visual words and then drawing a picture of the problem can help make it less overwhelming.
Related: Problem solving by drawing a picture
This is an exhaustive list of literacy strategies, or ideas for how you can apply reading comprehension strategies to math instruction. It is simply meant to give you a starting point and hopefully some good ideas for how you can encourage your kids to be thinkers and problem solvers who have a deep understanding of math and how it relates to the world around them.

And if you're looking for more strategies to help kids make sense of math, grab a FREE copy of my ebook, Strategies for Problem Solving: Equip Kids to Solve Math Problems with Confidence!
Click HERE to learn more and request your copy! References in this post:

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There always seems to be a new debate about the best way to teach math or which curriculum is the best. I also hear often from homeschool moms who love and feel confident teaching reading, yet feel uncertain and ill-equipped to teach math.

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How can I improve my Mathematical skills and logical thinking?

How can I get better at Maths?

How can I be good at Mathematical reasoning?

How can I improve my low grade in Maths?

Why do I have to struggle in Maths so much?

In this article, I have tried to answer these queries and have compiled suggestions that could help in improving mathematical skills and logical thinking. You can apply these tips to any mathematics concepts you're learning.

Concentrate in understanding core concepts to improve Mathematical skills and logical reasoning:

You can memorize formulas and rules to unravel many math problems, but this doesn't mean that you have simply understood or grabbed the core concepts behind what you're doing. This makes it harder to successfully solve problems, also making it quite impossible to easily absorb new information.

For instance; simply learning derivative formulae and using them in solving relative problems isn't enough at all, for improving mathematical skills in Differential Calculus you must know its geometrical interpretation before the numerical approach, which can cause you to realize how derivative calculates the instantaneous rate of change of any physical quantity.

Taking the time to make sure you understand why you're doing what you're doing can help your mathematical skills grow immensely and boost up your logical reasoning ability.

Approach New Concepts and Practice Problems to progress logical thinking:

Jumping directly into solving problems can lead to frustration and confusion. Try to study your textbook's theory and obtain more math examples and concentrate on class lectures. You should also work on any practice problems your teachers assign before completing any assignments. This gives you a chance to absorb what you're learning and helps to increase logical thinking and mathematical analysis.

Practice makes perfect, even with math. If you are struggling with a particular kind of problem, you can improve by working on solving additional problems. You can start out with simplified problems of an equivalent type, and move up in difficulty as you become easier with finding the solutions. Like, solve all topic-wise exercises then approach miscellaneous or review questions at the end, don't forget to go over through the summary of the chapter at the end which contains the entire essence.

Some students have a harder time than others with understanding math word problems. What you need to do is to read these problems with due focus and then try to sketch them in your notebook. Before this approach, it's mandatory that you must read and understand the solved word problems.

Carefully reading the problem or being able to visualize it can give you the help you need to improve this math skill.

The more you teach, the more you get enhanced, try to deliver concepts to your classmates and friends that you have understood and have poured your efforts in, organize group study schedules, make yourself stand up, and shower your fellow mates with the knowledge that you have gained, this strategy will further strengthen your foundation and will make you more saturated.

Besides, when a group of minds gathers for the sake of learning, their curious consciousness raises more queries, and when you exercise in solving and exploring them you automatically cross levels of knowledge and thus improve your maths skills. Afterall;
"Learning gives creativity, creativity leads to thinking, thinking provides knowledge, and knowledge makes you great."
Understanding why and how math is important can give you the motivation you need to keep applying yourself. Try to think of real-world examples where math is applied and consider what math concepts you would need to use in these conditions.

For example; Hyperbolas, one of the most beautiful forms of conics is standing in the roots of Navigation at sea LORAN (Long-range navigation) and Decca Systems in WWII, and also helps in locating enemy gun positions.

Well of course these days we have GPS and satellites, so this kind of location is now much simpler. But in fact, the basic principle that applies to explain how GPS works is similar to LORAN. Besides, enhancements in LORAN (E-LORAN) make it a possible substitute for scenarios where GPS is unavailable. Likewise, we have numerous examples that richly confirm the involvement of Mathematics in a day to day life, and thus, authenticates the importance and cruciality of this most stunning subject.

Checking out online study options is a great way to clear the Mathematics concepts you need. You can join for online group study and live lectures that deal with the mathematical concepts you're learning in class. Also, you can watch our lectures on which are on IGCSE Mathematics, A-levels Mathematics, and undergraduate Calculus & Analytic geometry, etc. There are several other online platforms that provide both free and paid online Maths courses which you can opt for as per your demand and suitability, here you go few of them;

Benefits of studying Mathematics online at "My Maths Club":

My Maths Club offers a remarkable virtual learning environment, where students get a definite chance to grab mathematical concepts in a genial cloud meeting ambiance. Tutor at "My Maths Club" equipped with all relevant tools and techniques and a mature teaching experience; is staunchly determined to nurture young learners with all exquisiteness of Mathematics. Here you go its and .

In short, in order to improve mathematical skills and logical thinking or reasoning, one must follow the so-mentioned strategies;

Concentrate on understanding concepts

Approach new concepts and practice problems to improve logical thinking

Boost your Mathematical skills by solving relative exercises & challenging questions

Brush word problems skills

Teach your friends and classmates in your free time

Explore how Math is used in practical Life

Study Online

This will not only escalate academic performance but will also show remarkable outcomes in the long run as well.

If you find this article helpful please give your feedback in the comment section and also share it in your circle.

Peace & keep shining.

Do you want to boost up your academic grades?
Feel free to contact us for qualitative and standardized online Mathematics tuition service For more swift and confident interaction, become a part of our WhatsApp community

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Mathematical skills and Logical Thinking: How to improve it? Tips & Tricks

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How can I improve my Mathematical skills and logical thinking? How can I get better at Maths? How can I be good at Mathematical reasoning? How can I improve my low grade in Maths? Why do I have to struggle in Maths so much?

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This collection of resources from the National Strategies includes resources for activities and lessons that make effective use of ICT in teaching and learning secondary mathematics. The resources include the use of spreadsheets, programs, dymanic geometry software, video and internet research. All activities are complete with teachers' notes, further ideas and the relevant software or files.

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1742-6596/1360/1/012032

Abstract

The purpose of this research is to analyze mathematical communication skills and find patterns in thinking process of students in terms of social skills through learning Assurance Relevance Interest Assessment and Satisfaction (ARIAS). This research was conducted in Tasikmalaya city with 80 students as research subjects. The research method uses a sequential explanatory combination. Data was collected through tests of mathematical communication skills and social skills questionnaires. Data analysis techniques to test hypotheses using proportion tests. Based on the results of data analysis, it was concluded that mathematical communication skills of the students through ARIAS learning achieved ideal completeness. Subjects from very skilled groups, thinking processes in mathematical communication skills on each indicator written text, drawings, and mathematical expressions have written what is known and asked, equipped with images, the steps are clear, answer in 2 ways, but there are errors in so wrong calculations in the final result. Whereas subject from skilled groups, have not written in full what is known and asked, the stages are incomplete, some use images and are equipped with other alternatives in the process of completion. Subjects from quite skilled groups have deficiencies in each written text, drawing, and mathematical expressions.

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Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

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