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Google Classroom is a successful educational platform used to share resources and information from teachers to students. Google Classroom will be the medium through which students access Desmos classroom and ask questions about it.

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A starting point for all information on being a digital citizen.

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What is it?

A digital citizen refers to a person who has the knowledge and skills to effectively use digital technologies to communicate with others, participate in society, and create and consume digital content.

Digital citizenship is about confident and positive engagement with digital technologies. By educating students about digital citizenship, they will have the opportunity to develop an understanding about the following concepts:

digital and information literacy

internet safety

privacy and security

cyberbullying, relationships, etiquette and communication

creative credit and copyright

digital footprint.

Australian Curriculum definition

Digital citizenship

An acceptance and upholding of the norms of appropriate, responsible behaviour with regard to the use of digital technologies. This involves using digital technologies effectively and not misusing them to disadvantage others. Digital citizenship includes appropriate online etiquette, literacy in how digital technologies work and how to use them, an understanding of ethics and related law, knowing how to stay safe online, and advice on related health and safety issues such as predators and the permanence of data.

Source: Australian Curriculum: Technologies glossary

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A digital citizen refers to a person who has the knowledge and skills to effectively use digital technologies to communicate with others, participate in society, and create and consume digital content. Digital citizenship is about confident and positive engagement with digital technologies.

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A worksheet that students will complete to as to ensure they don't share any personal information on the Google Classroom.

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This is a resource from the Commissioner which sets a lesson plan to educate students about behaving respectfully online. This needs to be understood as students will be making comments on desmos classroom.

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This will be an agreement that the students will sign during the mini-unit to ensure they are in full understanding of how to use digital resources legally, safely and ethically.

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The classroom resource section published by the eSafety Commissioner (the Commissioner).

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Classroom resources | eSafety Commissioner

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Discover resources designed to help schools and other educators teach online safety lessons.

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Cross-curriculum priorities support the curriculum to be relevant and reflect national, regional and global contexts. These are difficult to implement for quadratics however some facets of them will feature in the mini-unit.

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The 3 cross-curriculum priorities in the Australian Curriculum are:

Aboriginal and Torres Strait Islander Histories and Cultures

Asia and Australia's Engagement with Asia

Sustainability.

In the Australian Curriculum, cross-curriculum priorities are incorporated through learning area content; they are not separate learning areas or subjects. They provide opportunities to enrich the content of the learning areas, where most appropriate and authentic, allowing students to engage with and better understand their world.

Opportunities to apply cross-curriculum priorities to learning area content vary. Cross-curriculum priorities are embedded in content descriptions where the development of knowledge, understanding and skills relating to the cross-curriculum priority are core to the delivery of the learning area content. They are also identified in content elaborations where they offer opportunities to add depth and richness to student learning.

In the learning areas of the Australian Curriculum, cross-curriculum priorities are identified, using icons, where they are developed or applied in the content descriptions and elaborations.

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The 3 cross-curriculum priorities in the Australian Curriculum are: Aboriginal and Torres Strait Islander Histories and Cultures Asia and Australia's Engagement with Asia Sustainability. In the Australian Curriculum, cross-curriculum priorities are incorporated through learning area content; they are not separate learning areas or subjects.

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This includes an overview of the general capabilities for everything other than digital literacy. These are all relevant however some are difficult to implement in the context of quadratics.

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Each general capability has an introduction that provides a description of the capability and a rationale for its inclusion in the Australian Curriculum.

Each general capability is presented as either a learning continuum or a learning progression and is structured around elements and sub-elements.

A learning continuum has been developed for 5 of the 7 general capabilities, and describes the knowledge, skills and behaviours that students can reasonably be expected to develop from Foundation to Year 10. The continua map common paths for the development of knowledge, skills and behaviours in each of the elements and sub-elements across 6 levels for Critical and Creative Thinking, Digital Literacy, Personal and Social capability, Ethical Understanding and Intercultural Understanding.

For Literacy and Numeracy, more detailed learning progressions have been developed to describe the learning pathway(s) along which students typically progress regardless of age or year level. The National Literacy and Numeracy Learning Progressions describe the skills, understandings and capabilities students typically acquire as their proficiency increases in a particular aspect of the curriculum over time, and help teachers ascertain the stage of learning reached, identify any gaps in skills and knowledge, and plan for the next step to progress learning.

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Each general capability has an introduction that provides a description of the capability and a rationale for its inclusion in the Australian Curriculum.  Each general capability is presented as either a learning continuum or a learning progression and is structured around elements and sub-elements.  A learning continuum has been developed for 5 of the

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ChatGPT is a powerful resource for students. Students can use ChatGPT to explain concepts to them in a different way than their teacher (me) and it may just help them. ChatGPT is still limited in its ability to solve and manipulate mathematical equations/expression, particularly the unpaid version.

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ChatGPT is your AI chatbot for everyday use. Chat with the most advanced AI to explore ideas, solve problems, and learn faster.

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A detailed description of Bloom's Taxonomy and its applicableness within the classroom.

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Cite this guide: Armstrong, P. (2010). Bloom's Taxonomy. Vanderbilt University Center for Teaching. Retrieved [todaysdate] from https://cft.vanderbilt.edu/guides-sub-pages/blooms-taxonomy/.

Background Information | The Original Taxonomy | The Revised Taxonomy | Why Use Bloom's Taxonomy? | Further Information

The above graphic is released under a Creative Commons Attribution license. You're free to share, reproduce, or otherwise use it, as long as you attribute it to the Vanderbilt University Center for Teaching. For a higher resolution version, visit our Flickr account and look for the "Download this photo" icon.

Background Information

In 1956, Benjamin Bloom with collaborators Max Englehart, Edward Furst, Walter Hill, and David Krathwohl published a framework for categorizing educational goals: Taxonomy of Educational Objectives. Familiarly known as Bloom's Taxonomy, this framework has been applied by generations of K-12 teachers and college instructors in their teaching.

The framework elaborated by Bloom and his collaborators consisted of six major categories: Knowledge, Comprehension, Application, Analysis, Synthesis, and Evaluation. The categories after Knowledge were presented as "skills and abilities," with the understanding that knowledge was the necessary precondition for putting these skills and abilities into practice.

While each category contained subcategories, all lying along a continuum from simple to complex and concrete to abstract, the taxonomy is popularly remembered according to the six main categories.

The Original Taxonomy (1956)

Here are the authors' brief explanations of these main categories in from the appendix of Taxonomy of Educational Objectives ( Handbook One, pp. 201-207):

Knowledge "involves the recall of specifics and universals, the recall of methods and processes, or the recall of a pattern, structure, or setting."

Comprehension "refers to a type of understanding or apprehension such that the individual knows what is being communicated and can make use of the material or idea being communicated without necessarily relating it to other material or seeing its fullest implications."

Application refers to the "use of abstractions in particular and concrete situations."

Analysis represents the "breakdown of a communication into its constituent elements or parts such that the relative hierarchy of ideas is made clear and/or the relations between ideas expressed are made explicit."

Synthesis involves the "putting together of elements and parts so as to form a whole."

Evaluation engenders "judgments about the value of material and methods for given purposes."

The 1984 edition of Handbook One is available in the CFT Library in Calhoun 116. See its ACORN record for call number and availability.

Barbara Gross Davis, in the "Asking Questions" chapter of Tools for Teaching, also provides examples of questions corresponding to the six categories. This chapter is not available in the online version of the book, but Tools for Teaching is available in the CFT Library. See its ACORN record for call number and availability.

The Revised Taxonomy (2001)

A group of cognitive psychologists, curriculum theorists and instructional researchers, and testing and assessment specialists published in 2001 a revision of Bloom's Taxonomy with the title A Taxonomy for Teaching, Learning, and Assessment. This title draws attention away from the somewhat static notion of "educational objectives" (in Bloom's original title) and points to a more dynamic conception of classification.

The authors of the revised taxonomy underscore this dynamism, using verbs and gerunds to label their categories and subcategories (rather than the nouns of the original taxonomy). These "action words" describe the cognitive processes by which thinkers encounter and work with knowledge:

Remember

Understand

Interpreting

Exemplifying

Classifying

Summarizing

Inferring

Comparing

Explaining

Apply

Analyze

Differentiating

Organizing

Attributing

Evaluate

Create

In the revised taxonomy, knowledge is at the basis of these six cognitive processes, but its authors created a separate taxonomy of the types of knowledge used in cognition:

Factual Knowledge

Knowledge of terminology

Knowledge of specific details and elements

Conceptual Knowledge

Knowledge of classifications and categories

Knowledge of principles and generalizations

Knowledge of theories, models, and structures

Procedural Knowledge

Knowledge of subject-specific skills and algorithms

Knowledge of subject-specific techniques and methods

Knowledge of criteria for determining when to use appropriate procedures

Metacognitive Knowledge

Strategic Knowledge

Knowledge about cognitive tasks, including appropriate contextual and conditional knowledge

Self-knowledge

Mary Forehand from the University of Georgia provides a guide to the revised version giving a brief summary of the revised taxonomy and a helpful table of the six cognitive processes and four types of knowledge.

Why Use Bloom's Taxonomy?

The authors of the revised taxonomy suggest a multi-layered answer to this question, to which the author of this teaching guide has added some clarifying points:

1. Objectives (learning goals) are important to establish in a pedagogical interchange so that teachers and students alike understand the purpose of that interchange.

2. Organizing objectives helps to clarify objectives for themselves and for students.

3. Having an organized set of objectives helps teachers to:

"plan and deliver appropriate instruction";

"design valid assessment tasks and strategies";and

"ensure that instruction and assessment are aligned with the objectives."

Citations are from A Taxonomy for Learning, Teaching, and Assessing: A Revision of Bloom's Taxonomy of Educational Objectives.

Further Information

Section III of A Taxonomy for Learning, Teaching, and Assessing: A Revision of Bloom's Taxonomy of Educational Objectives, entitled "The Taxonomy in Use," provides over 150 pages of examples of applications of the taxonomy. Although these examples are from the K-12 setting, they are easily adaptable to the university setting.

Section IV, "The Taxonomy in Perspective," provides information about 19 alternative frameworks to Bloom's Taxonomy, and discusses the relationship of these alternative frameworks to the revised Bloom's Taxonomy.

This teaching guide is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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by Patricia Armstrong Print Version Cite this guide: Armstrong, P. (2010). Bloom's Taxonomy. Vanderbilt University Center for Teaching. Retrieved [todaysdate] from https://cft.vanderbilt.edu/guides-sub-pages/blooms-taxonomy/. Background Information | The Original Taxonomy | The Revised Taxonomy | Why Use Bloom's Taxonomy? | Further Information The above graphic is released under a Creative Commons Attribution license.

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Bloom's Taxonomy through the lens of digital technologies.

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A youtube video discussing the TPACK model in a classroom.

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A youtube video explaining the SAMR model - the underpinning framework for digital pedagogy in the mini-unit.

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This article provides a comprehensive but not exhaustive list of good online Mathematics learning platforms.

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Welcome to Teacher Professional Development - a beloved hub in Australia for teaching resources and courses that students genuinely enjoy. In this blog, we'll be sharing some of the best math websites tailored for both teachers and students.

The internet offers remarkable and innovative methods for teaching and learning mathematics, ranging from interactive games and educational videos to comprehensive lessons and even entire curricula. These online learning resources can be highly advantageous for educators, students, and parents alike. This compilation of top math websites provides choices suitable for all levels of proficiency, whether it's learning the fundamentals of counting or delving into advanced mathematics like calculus. You're likely to discover a new preferred resource among them!

20 Best Math Websites for Teaching and Learning

1. Buzzmath

Buzzmath is an interactive and engaging educational platform in Australia. It offers a wide range of math resources for students, with the aim of making math learning enjoyable. This tool provides interactive activities, games, and lessons designed to help students grasp and practice math concepts. Among Australian educators and students, Buzzmath enjoys a strong reputation for its capacity to cultivate a positive attitude toward math while improving skills. It stands as a valuable resource for teachers and students in Australia, contributing to effective math education.

2. Mathletics

Mathletics is an educational platform tailored for students in Australia. It's designed to support mathematics learning by offering a wide array of interactive lessons, quizzes, and activities. This resource is particularly beneficial for students in primary and secondary schools. Mathletics is a popular choice among Australian educators and parents because it provides a structured and engaging way to enhance math skills. Students can work through math exercises and challenges, making the learning process both effective and enjoyable.

3. Math-Drills

Math-Drills is an online resource that's widely used by students and educators in Australia to access a variety of math worksheets and practice materials. This platform is especially helpful for practicing and reinforcing mathematical concepts. Math-Drills offers a wide range of worksheets for different math topics, allowing students to improve their math skills through consistent practice. It's a valuable tool for Australian students looking to sharpen their math proficiency and excel in their studies.

4. Coolmath

Coolmath is an educational website that caters to students in Australia, offering a diverse range of math-related content. This platform provides educational lessons, interactive games, and quizzes designed to help learners grasp various math concepts and improve their skills. Coolmath is a popular choice among Australian students and educators due to its engaging and accessible resources, making the process of learning mathematics more enjoyable and effective. It serves as a valuable online tool for enhancing math knowledge and understanding.

5. Wolfram Alpha

Wolfram Alpha is an advanced computational search engine with a strong presence in Australia. This tool is renowned for its ability to solve complex mathematical problems and provide step-by-step solutions, making it a valuable resource for students and professionals in various fields. In Australia, it is frequently used for tackling mathematics, physics, and other technical subjects. Wolfram Alpha allows users to input mathematical queries and receive detailed answers, aiding in problem-solving and data analysis. It's an essential tool for individuals in Australia seeking precise and in-depth information for mathematical and scientific inquiries.

6. Desmos

Desmos is an online graphing calculator and mathematics exploration tool that is highly utilized by students and educators in Australia. This platform is designed to help individuals visualize and understand mathematical concepts, particularly in the field of graphing and algebra. Desmos is particularly appreciated in Australian classrooms for its user-friendly interface and the ability to create interactive graphs and explore mathematical relationships. It plays a significant role in making mathematical concepts more accessible and engaging for students across the country.

7. Mathway

Mathway is an online mathematical problem-solving tool that is popular among students and learners in Australia. It serves as a convenient resource for individuals looking to solve math problems and visualize mathematical concepts. Mathway is known for its ability to provide solutions to a wide range of mathematical problems and equations, making it a valuable tool for Australian students and learners of all ages. This platform helps users understand and work through various math problems, making the learning process smoother and more accessible.

8. IXL

IXL is an online educational platform that is widely used by students in Australia. It offers a comprehensive range of interactive math lessons, exercises, and practice problems. IXL is designed to cater to various grade levels, making it a valuable resource for Australian students of different ages and skill levels. It is known for its real-time adaptive learning approach, which tailors exercises to a student's individual skill level and progress. IXL is a popular choice among Australian educators and parents to help students improve their math skills and achieve academic success.

9. Purplemath

Purplemath is an online resource that provides free math lessons and educational materials primarily focused on algebra. This platform is valuable for students in Australia seeking to enhance their understanding of algebraic concepts. Purplemath is well-regarded in Australian classrooms and homes due to its clear and comprehensive explanations, making algebra more accessible and easier to grasp. It's a trusted tool for Australian students and educators looking to improve their algebra skills and excel in their math studies.

10. Aplusmath

Aplusmath is an online resource that offers a range of math-related content and interactive materials, beneficial for students in Australia. This platform provides games, worksheets, and flashcards for arithmetic practice. Aplusmath is well-received in Australian educational settings for its engaging and accessible resources, making the process of learning and practicing arithmetic skills more enjoyable and effective. It serves as a valuable online tool for enhancing fundamental math knowledge among Australian students, especially in the area of arithmetic.

11. NRICH

NRICH is an online resource known for its collection of math problems, games, and articles designed to enrich the mathematical understanding of students in Australia. This platform offers a wide array of thought-provoking and challenging math content, making it particularly valuable for Australian educators and students looking to delve deeper into mathematical concepts. NRICH is highly regarded for its ability to promote critical thinking and problem-solving skills among Australian learners, and it provides a valuable resource for those seeking to explore math in a more engaging and stimulating way.

12. Math is Fun

Math is Fun is an educational website that is well-regarded in Australia for its clear and engaging explanations of various mathematical concepts. This platform provides comprehensive and interactive resources for students of all ages to learn and practice math. Math is Fun is particularly appreciated by Australian learners and educators for its user-friendly interface and interactive activities, making mathematics more accessible and enjoyable. It serves as a valuable online tool for enhancing math knowledge and understanding among Australian students and learners.

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13. Illuminations

Illuminations is an educational project created by the National Council of Teachers of Mathematics (NCTM) and is known for its collection of math lessons and activities. It's widely used in Australia and valued for its high-quality content that supports math education. Illuminations offers a variety of resources to help Australian educators and students understand and explore mathematical concepts. This platform is particularly appreciated for its role in promoting innovative teaching techniques and providing engaging math materials for classrooms in Australia, making the learning process more effective and enjoyable.

14. Math Goodies

Math Goodies is an online resource known for its user-friendly math lessons, interactive worksheets, and engaging puzzles. It's used by students and educators in Australia to enhance math knowledge and skills. Math Goodies is highly regarded for its practical approach to teaching math, particularly through its hands-on and interactive content. Australian students benefit from this platform to gain a deeper understanding of math concepts, and it's appreciated for making the learning process more enjoyable and accessible in classrooms and homes across the country.

15. LearnZillion

LearnZillion is an online educational platform that provides Australian students with access to free video lessons and learning materials aligned with the Common Core standards. This resource is particularly beneficial for Australian educators, students, and parents looking for structured and high-quality educational content. LearnZillion is esteemed for its role in promoting effective teaching and learning techniques, and it offers a valuable tool for enhancing math and other subject knowledge among Australian students in line with national educational standards.

16. Corbettmaths

Corbettmaths is a well-regarded educational platform in Australia, offering an abundance of math resources for students. It takes a comprehensive approach to math learning, with its notable collection of instructional videos, practice questions, and worksheets designed to assist students in gaining a strong grasp of mathematical concepts. Corbettmaths enjoys high esteem among Australian educators and students for its effectiveness in simplifying complex math topics and enhancing mathematical proficiency. For teachers and students in Australia looking to improve their math skills and understanding, it stands as a valuable resource.

17. Math Planet

Math Planet is an online educational resource recognized in Australia for providing free courses and lessons, particularly in the subjects of algebra and geometry. This platform is highly valued by Australian students and educators for its clear and comprehensive explanations, making complex math topics more accessible and easier to grasp. Math Planet is a trusted tool for enhancing algebra and geometry skills, and it is used by many Australian learners looking to excel in their math studies.

18. Math Warehouse

Math Warehouse is an online educational resource widely used in Australia, offering interactive math lessons, calculators, and games. This platform is appreciated by Australian students and educators for its ability to provide engaging and accessible resources that aid in the understanding of various mathematical concepts. Math Warehouse plays a significant role in making the learning process more enjoyable and effective in Australia, making it a valuable tool for enhancing math knowledge and skills.

19. AAA Math

AAA Math is an online educational resource that provides a comprehensive range of math lessons and exercises for students in Australia. This platform offers a variety of math resources, making it a valuable tool for Australian students and educators. AAA Math is known for its ability to enhance math skills and understanding through its interactive content. It is appreciated for making the learning process more enjoyable and accessible in Australian classrooms and homes, aiding students in their math studies and proficiency.

20. Mathigon

Mathigon is an online educational platform recognized for its innovative approach to teaching mathematics and offering a wide range of math content and interactive materials. It's used by students and educators in Australia to explore and understand various mathematical concepts in engaging ways. Mathigon is appreciated for its role in making mathematics more accessible and enjoyable for Australian learners. It provides a valuable resource for those seeking to expand their math knowledge and problem-solving skills in a captivating and stimulating manner.

Final Thoughts On Best Math Websites

Mathematics education in Australia has been significantly enriched by a plethora of online resources. These platforms offer a diverse array of tools, from interactive games and video lessons to comprehensive curricula. They cater to students, teachers, and parents, ensuring that learners of all ages and levels can benefit from these digital learning resources. This compilation of top math websites provides choices suitable for all skill levels, from basic counting to advanced calculus. With these resources, you're sure to discover a new favorite to support your mathematical journey!
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20 Best Math Websites For Teaching And Learning In Australia

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Welcome to Teacher Professional Development - a beloved hub in Australia for teaching resources and courses that students genuinely enjoy. In this blog, we'll be...

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Blooket is an excellent platform for introducing gamification into the classroom. It has a large base of question sets and a variety of game modes which students find engaging. It also produces a report of a game to show how much students were engaged.

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Symbolab is a powerful mathematical calculator that is based on algorithmic AI. It is a great alternative to ChatGPT for solving and answering questions and provides a step-by-step breakdown of how it manipulates and equation/expression. It is an invaluable resource for students when they don't have access to their teacher.

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Free functions calculator - explore function domain, range, intercepts, extreme points and asymptotes step-by-step

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TikTok has a plethora of videos on every mathematical topic from lower-secondary to university level. The platform appeals massively to students in my demographic and such is the nature of TikTok, its videos on maths are sharp, succinct, engaging and yet informative.

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An online platform for students who are looking for extra help with understanding content.

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Graspable Math - Interactive Maths Whiteboard

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Graspable is a fantastic interactive maths whiteboard platform - it allows you to enter equations and manipulate them by clicking and dragging terms. It has animations that shows what is actually going on and is an excellent digital aid for those students who struggle with rearranging equations.

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A wholly comprehensive document covering the manipulation of quadratics. Examples and methods explained in this document will form parts of the mini-unit.

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Comprehensive help guides written by Desmos on how to use their graphing calculator.

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Desmos's online interactive learning space.

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This is Desmos's most used product - it is free to use and accessible to anyone with an internet connection and doesn't even require an account to use.

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Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

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An alternative post on completing the square of a quadratic - this is useful because this is often the most difficult manipulation of a quadratic for students to understand however it is extremely important and fundamental for plotting parabolas.

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A comprehensive website showing students how to correctly use their graphics calculators - fundamentally important for exam taking but will not form much part in the mini-unit as its basis is in understanding quadratics/parabolas themselves. Most schools in QLD prescribe the CASIO-CG50AU.

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Supporting teachers with maths resources and tools for the Australian curriculum

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An excellent lesson plan on modelling parabolic motion of projectiles. This will form part of the mini-unit as a kinaesthetic learning task.

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A wholly comprehensive document on plotting quadratics as functions ie parabolas. Examples and methods explained in this document will form parts of the mini-unit.

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ReSolve Lesson Plans for Quadratic Functions

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ReSolve Lesson Plans for Quadratic Functions

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Another excellent parabola-based lesson plan which incorporates the kinaesthetic learning style. The shape of water from a hose forms a parabolic curve and as the angle of elevation of the hose is changed is will change certain parameters of the parabola that it follows.

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This is a classic reSolve sequence aligned with the Australian Curriculum V8.4. It is only available as a downloadable package.

This unit is part of the special topic "Bringing the Real World into Algebra". Students match quadratic graphs to paths such as water spouting from a hose, and the flight of a football. These lessons reveal the links between the graphs of quadratic functions and the three algebraic forms (turning point form, product, sum of three terms) and the influence of the parameters in the functions.

Lesson 1: Fitting Curves

Students are introduced to GeoGebra (or alternative software), by fitting lines to a digital image. This is extended to curve fitting using the turning point form for quadratic functions. Students make systematic adjustments to the function rule to fit the curve to an image of water from a hose or the path of a ball.

Lesson 2: Trajectories

Students take a set (burst) of photos of the path of a ball, and fit a parabola to points from the images by systematically altering the parameters of the quadratic function. The usefulness of the turning point form (highest point reached) and of the factorised form (distance travelled) are explored in this context.

Lesson 3: Linking Different Forms

Students compare different symbolic forms for the same quadratic function using GeoGebra, and then by hand sketching. Further practice using text book type examples is suggested for fluency.

Last updated December 11 2018.

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This is a classic reSolve sequence aligned with the Australian Curriculum V8.4. It is only available as a downloadable package. This unit is part of the special topic "Bringing the Real World into Algebra". Students match quadratic graphs to paths such as water spouting from a hose, and the flight of a football.

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Desmos is the overarching selected artefact for this mini-unit. It's most powerful feature is its graphing calculator which provides a mechanism for transformative learning in the context of mathematical functions and relations. It also provides an online learning space called Desmos Classroom which provides interactive activities for students.

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AI as a Curriculum Connection to Mathematics

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AI as a Curriculum Connection to Mathematics

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The focus of the mini-unit is on quadratic functions and equations - this is most closely related to algebra (AC9M10A05) in the learning areas. The elaboration in relation to AI is as follows:

Investigating how functions and relations serve as the mathematical underpinnings of machine learning, allowing data to be transformed, models to be defined and optimisation to occur.

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Curriculum connections | V9 Australian Curriculum

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F-10 Curriculum | V9 Australian Curriculum

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For the mini-unit the following Content descriptions are relevant in the context of the 10 Mathematics Curriculum:

Algebra:

AC9M10A01:

expand, factorise and simplify expressions and solve equations algebraically, applying exponent laws involving products, quotients and powers of variables, and the distributive property.

AC9M10A05:

experiment with functions and relations using digital tools, making and testing conjectures and generalising emerging patterns.

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F-10 Curriculum | V9 Australian Curriculum

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General Capabilities for Digital Literacy

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General Capabilities for Digital Literacy

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In the mini-unit on quadratics there are digital literacy components which apply. The following content descriptors are relevant and will be aimed to be fulfilled:

AC9M9A06:

experiment with the effects of the variation of parameters on graphs of related functions, using digital tools, making connections between graphical and algebraic representations, and generalising emerging patterns

AC9M10A05:

experiment with functions and relations using digital tools, making and testing conjectures and generalising emerging patterns.

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F-10 Curriculum | V9 Australian Curriculum

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A statement from the QCAA on digital literacy and artificial intelligence.

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Information on how to teach mathematics online through mediums such as Zoom and through dedicated educational platforms.

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Technology has transformed math instruction in the classroom, engaging students with interactive tools such as SMART boards and videos. For students needing flexibility, virtual schooling creates opportunities to progress at their own pace. Teachers can still be part of this journey, guiding students through studying and exercises, even when outside the physical classroom setting.

How to be interactive online

Engage your students with virtual math instruction! Teaching online is more than just videos and whiteboards - it's about motivating active participation. To make the most of online learning, there are several interactive approaches you can use. Make use of recording tools to refine your performance before going live. Give feedback to individual students so they feel recognized and valued. Making your presence stronger through these methods will help improve overall student engagement.

How to teach math online using Google Meet and Zoom

Google Meet and Zoom are popular platforms for engaging students in virtual classrooms. With similar layouts and features, these platforms can easily be mastered even by new teachers. The key difference between the two is that Zoom has its own app while Google Meet needs web browser access. Set aside time to become familiar with both, as this will make it easier to implement them effectively when you start teaching online. Here are some specific online strategies you can employ as part of your lesson plans:

Recognize each student and allow time for introductions.

Highlight the platform features (chat, mute, asking questions, etc.).

Utilize breakout rooms for collaboration or brainstorming sessions.

Share interactive math tools with the students.

Segment your instruction with quick quizzes, brain breaks, mini-challenges, games, surveys, and so on.

Consider having a co-teacher or top student help monitor the chat box and provide general assistance with maintaining the flow of the online session.

Record your presentation to upload in Google Classroom or share via email afterward.

The Education Center has a few more tips for mastering online teaching. Virtual teaching is increasing every day, so take time to brush up on your skills or learn something new.

How to teach math online without a whiteboard

Parting with your familiar whiteboard while teaching math online may be unnerving. You feel akin to your students, walking side-by-side into this digital world yet slightly further ahead. But in reality, they may be miles ahead of you in their aptitude and natural knack for exploring virtual platforms.

Virtual or online math tools can be a great substitution for traditional whiteboard demonstrations. They provide an effective way to assist students in exploring and understanding mathematical concepts at their own pace. Using these digital tools allows teachers to deepen students' understanding through interactive activities and visual aids, creating a richer learning experience. Some of these tools are:

Take the initiative to embrace online resources. Get your students involved. Organize a challenge such as a race against their teacher and see who can finish first. Not only will this help keep them occupied but could prove to be an exciting experience for all. You'll appreciate the substitute of a whiteboard in no time!

How to teach math graphs online

When teaching math graphs online, keep it interactive! Use short presentations and add activities to keep your students engaged. Don't forget to allow sufficient time for the students to practice what they've just learned. This will not only help them understand the materials better, but also give you an indication of their comprehension. Make use of:

Grade-level appropriate instructional videos online

Slides you create as a visual

Screen sharing and utilizing the whiteboard feature

Specific online math tools students can use as virtual manipulatives (e.g., graphfree.com, mathisfun.com, NCES create-a-graph)

If you plan to use a video as part of your teaching, it's essential that you watch the whole thing! Make sure to take notes and jot down time stamps if the video is long, that way you only need to show students the most relevant information.

Tips for how to teach geometry and algebra online

As students progress in mathematics, their journey leads them to an exciting new world of geometry and algebra. With its tangles of lines and angles, 3D figures, and shapes of all sorts, geometry can present a unique challenge when working in the standard classroom setting. Young learners often find algebra to be a difficult subject, so virtual learning without personalized instruction or physical tools requires teachers to be more creative in their approach. Thankfully, online math tools come to the rescue with:

How to teach fractions and percentages online

Thanks to the tools utilized for teaching graphs and algebra online, you have a head start when it comes to introducing fractions and percentages online. Visuals are key when it comes to math instruction - provide your students with fraction or percentage problems to solve before embarking on any lessons or teaching, and you'll see improved results! You can follow this model:

1. Students solve and share answers along with how they reached their answers.

2. Everyone solves, and volunteers share their process.

3. Teacher solves and demonstrates.

Start off by providing ample opportunities for active participation and cultivating a sense of ownership in their learning journey. Encourage them to ask questions and enable them to explore the material in an engaging, meaningful way. Give them multiple ways to interact with the subject matter, such as discussion boards, assignments, and small group activities. By fostering an environment of engagement, you ensure a more satisfactory educational experience that can be shared among the whole class. Also:

Use online math manipulatives (i.e., toytheater.com).

Have your students draw and cut out their own fraction bars. Folding odd-number bars can be a bit tricky, so be sure to look up instructional videos so that your students can learn how to do it properly!

Collaborate online with your students using features such as whiteboard.chat.

Use basic playing cards to create fraction equations.

Create self-grading task cards for fractions or percentage problems (or find some online).

Dive into the various resources available for mathematical learning! Investigate all the features of these tools, and maximize their potential when tackling math subject areas.

Online math quiz makers for teachers

When you can't be in the classroom with your students, administering a math quiz may seem daunting. However, there are several intuitive and easy-to-use online math quiz makers designed specifically for teachers. Whether you're looking for a free version or one featuring premium services, these tools make it possible to provide your pupils a quick assessment without you having to be physically present:

Distance learning has become increasingly popular among students, prompting teachers to adapt to the changing environment. With each online presentation and lesson completed, your comfort level will grow, potentially even allowing for some of your students to take the lead during select class sessions.

Take the time to continually analyze and enhance your online charisma and engagement skills. Carefully consider your own teaching style and invite commentary from both students and colleagues. Use your passion for teaching to create an engaging virtual classroom atmosphere.

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Virtual Tools for Teaching Math Online | Resilient Educator

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Technology has transformed math instruction in the classroom, engaging students with interactive tools such as SMART boards and videos. For students needing

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Digital Innovation QLD Department of Education

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Digital Innovation QLD Department of Education

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A statement by the Queensland Department of Education on its approach to digital innovation in the classroom.

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​​​​​​​​​​​​Every student, every classroom, every school connected to limitless learning opportunities.

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​Digital innovation unlocking a world of possibilities​​​

We are embedding future-focused learning practices connecting students and teachers across Queensland.

Digital technologies are essential to respond and adapt to a changing world. We are empowering schools to prepare every child and student for a culturally diverse and digitally enabled future.

Our educators are strengthening their digital capability so they can take advantage of virtual teaching opportunities. Embracing the flexibility enabled by these technologies will give teachers access to a variety of teaching and learning options. Our digitally confident teachers will help students engage and thrive in a digital world.

Our system actions to embed digital innovation in teaching and learning:

enhance the capability and confidence of teachers in digital ​teaching and learning

improve connectivity through bandwidth upgrades

connect all students to digital learning opportunities through access to devices and technology

establish a virtual academy to enhance access across the state to teaching expertise

streamline access to data insights and evidence to inform system, regional and school planning and responses.

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A student's potential is global - no longer limited to what can happen within the school gates.

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Equity and Excellence in action: Immersive pedagogy v​​irtual reality for student centred learnin​​g​​​​

Transcript

Students at Bentley Park College, Gordonvale State High School and Woree State High School access engaging and immersive lessons on history, music, science and more through virtual reality (VR) enabled lessons aligned to the Australian Curriculum.

The Far North Queensland schools identified a shared problem of practice - student disengagement. Partnering with industry, the schools used their teacher's expertise to develop and share lesson content. The VR lessons combine technology and pedagogy to bring learning experiences to life for students who may be disengaged from learning.

Related links

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equity and excellence; equity; excellence; digital innovation; teaching; learning;

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Digital innovation in teaching and learning

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​​​​​​​​​​​​Every student, every classroom, every school connected to limitless learning opportunities. ​ ​ We are embedding future-focused learning practices connecting students and teachers across Queensland. Digital technologies are essential to respond and adapt to a changing world. We are empowering schools to prepare every child and student for a culturally diverse and digitally enabled future.

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Best Practice Models for Digital Pedagogies in Mathematics

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Best Practice Models for Digital Pedagogies in Mathematics

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Findings into best practice models for using digital technologies in the context of mathematics learning and teaching. This research was by the Australian Department of Education.

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The final report focussed on three key challenges affecting students' maths performance:

Teacher capacity and efficiency: Teachers reported that they are time-poor and may have insufficient capacity to complete the range of preparation, administration and classroom tasks needed for optimal student outcomes. A lot of time is spent on administrative tasks, limiting time available for high value activities improving student performance.

Teacher capability and confidence: Teachers and system level stakeholders reported that inexperienced or less confident maths teachers need support around content and teaching practice to build the skills needed to teach maths well.

The ability to differentiate for students: Teachers have significant differentiation in student level within one class and supporting all student levels can be difficult and time consuming. Teachers need support to effectively manage maths classes with a wide range of ability levels and learning styles.

The researchers found that there are a variety of technological tools that can be used to help address these challenges, which can be broadly applied to a range of contexts and unique student learning needs.

The project identified eight best practice models that reflect the most promising applications of digital technologies to address the key challenges outlined above, including:

1. Maths lesson plan libraries

2. Digital observation and remote coaching

3. Remote learning delivery

4. Online tutoring for students falling behind

5. Fully-featured teaching and learning platforms

6. Digital exploration, investigation and game environments

7. Cohort-specific culturally relevant maths content and lesson plans

8. Teacher-recorded worked examples.

dandolo also identified some key principles that teachers and policy makers can apply to inform their consideration and use of digital technologies to support maths teaching.

In addition, a series of videos are available below which explain the key findings from the report. These videos provide further information on the overall report, the academic literature review and its findings, as well as advice to support the use of digital technology in local contexts. We thank the expert panel members for their contributions:

1. Ms Hayley Dureau, Master Teacher (Mathematics) - Victorian Academy of Teaching and Leadership

2. Mr Michael Rosenbrock, Educational Leader - Evidence for Learning

3. Dr Max Stephens, Professor, Melbourne Graduate School of Education.

The panel videos should be viewed in sequential order.

Videos

Overview of the report's key findings with Mr Joe Connell, Director of dandolo

Panel discussion video 1

Panel discussion video 2

Panel discussion video 3

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Research into Best Practice Models for the use of digital technologies in mathematics teaching and learning

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In 2022, the Department commissioned dandolo partners (dandolo) to undertake research on what worked well in lifting mathematics and numeracy outcomes during COVID-19 and what key aspects could potentially be further explored and developed as enduring augmentations to mathematics teaching.

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Efficacy of Minecraft Education for Learning Maths

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Efficacy of Minecraft Education for Learning Maths

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An interesting statement by Minecraft: Education Edition about its efficacy as an educational tool in the classroom.

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New Study: Understanding the Impact of Minecraft in the Math Classroom | Minecraft Education Edition

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Minecraft: Education Edition’s 3D sandbox environment and block-based mechanics make it an ideal workspace for students to learn mathematical principles and test their ideas. Concepts like area and perimeter, patterns, ratios, and coordinates all come alive when they’re laid out spatially and can be…

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Ways to gamify learning in the classroom. These are mostly game-based questionnaires such as Blooket and Kahoot!

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Discover five ways to gamify your classroom to boost engagement, collaboration and learning.