Technology in the Intermediate Mathematics Class Room by Derek Drouillard https://padlet.com/ddrouil2/rv1vwhdfhcene28q Intermediate Mathematics AQ - Professional Learning Station en-us 2021-07-26 02:14:07 UTC 2023-06-08 20:35:42 UTC hello@padlet.com Key Ideas ddrouil2 https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660602336 1. Become aware of the ease of implementing technology into your classroom to support student learning. 
2. Learn more about the evidence based research surrounding these technologies to foster deeper learning. 
3. Recognize how these tools could be used throughout the intermediate mathematics curriculum. ]]> 2021-07-26 02:27:10 UTC https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660602336 Professional Learning Intentions ddrouil2 https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660602602 By reviewing and interacting with the software I have highlighted in my learning station, teachers will see just how effective modern technology can be in transforming thier practice and providing a greater level of support for the development of their students' learning of mathematics.]]> 2021-07-26 02:27:25 UTC https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660602602 Here's Why... Augmenting your teaching practices! ddrouil2 https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660620556 Technology can have an amazing impact on our teaching when it is used in a way that helps to augment already well established and evidence based pedagogical strategies. Research has found that the greatest challenge to technology in the classroom is actually the adoption of technology by the teacher. It is my goal today that you will see just how effective some of the technologies and tools are for enhancing the things that you are already doing well in your teaching practice. Using technology in the mathematics classroom allows students to construct and interact with multimodal learning environments and manipulatives to deepen learning. Also,  these technologies also allow for interactive visualizations that support mathematical thinking skills and problem-solving capabilities towards a range of topics and ages. (Misfeldt, Andresen, & Lee, 2014)

]]> 2021-07-26 02:44:38 UTC https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660620556 Welcome To Desmos ddrouil2 https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660633235 For some of you in my group you may have heard me make reference to Desmos in some of my posts during our course. I wanted to make sure this was one of the first pieces of software that I introduced for this learning centre. For those that are now aware of what Desmos is, it is an online graphic calulator that your students can use to manipulate a wide range of linear and non-linear equations. ]]> 2021-07-26 02:57:05 UTC https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660633235 Reference List Based on Order in Which They Appear ddrouil2 https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660637258 1. Misfeldt, M., Andresen, M., & Lee, N. H. (2014). Technology and mathematics teaching. Electronic Journal of Mathematics and Technology, 8(2), 66+. https://link.gale.com/apps/doc/A368472068/AONE?u=lond95336&sid=bookmark-AONE&xid=29a3ee83

2. King, A. (2017). Using Desmos to draw in mathematics. Australian Mathematics Teacher, 73(2), 33+. https://link.gale.com/apps/doc/A498845403/AONE?u=lond95336&sid=bookmark-AONE&xid=ba7f64e9

3. Martinovic, D., & Manizade, A. G. (2014). Technology as a partner in geometry classrooms. Electronic Journal of Mathematics and Technology, 8(2), 69+. https://link.gale.com/apps/doc/A368472069/AONE?u=lond95336&sid=bookmark-AONE&xid=d2eee1fd

4. Ministry of Education. (2012). Technology in the Mathematics Classroom. Student Achievement Division. http://www.edu.gov.on.ca/eng/literacynumeracy/inspire/research/ww_technology.pdf

5. Radović, S., Radojičić, M., Veljković, K., & Marić, M. (2020). Examining the effects of Geogebra applets on mathematics learning using interactive mathematics textbook. Interactive Learning Environments, 28(1), 32–49. https://doi.org/10.1080/10494820.2018.1512001
]]> 2021-07-26 03:01:18 UTC https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660637258 Advantages of Using Desmos ddrouil2 https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660638801 Providing students to software like Desmos is an innovative way for teachers to encourage student interest in mathematics, which for the intermediate student is usually rigid. Desmos is also a great way of delivering course content while allowing student the freedom to explore and interact with mathematic concepts. The range of concepts that one could use Desmos for include: “Graphing equations... [Generating] lists, plots, regressions, graph restriction, and simultaneous graphing tasks” (King, 2017) to name a few. 
 
 In addition, Desmos is a browser-based application which means that students can interact with this software on a computer or a mobile device. For those that are familiar with an older model graphing calculator, they could be cumbersome and hard to see due to the small screen. Desmos on the other hand is simple for students to interact with and takes on the screen size of the technology that it is accessed from. (King, 2017)]]> 2021-07-26 03:02:56 UTC https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660638801 Applications of Desmos ddrouil2 https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660661791 Desmos offers students the ability to explore math concepts, check their understanding/answers, reason through experimentation, and interact with content through the use of problem solving activies in the form of class games/challenges. ]]> 2021-07-26 03:23:44 UTC https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660661791 Grade 7 Curriculum ddrouil2 https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660674271 C2.1 Variables and Expressions
add and subtract monomials with a degree of 1 that involve whole numbers, using tools

 C2.4 Equalities and Inequalities solve inequalities that involve multiple terms and whole numbers, and verify and graph the solutions ]]> 2021-07-26 03:35:58 UTC https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660674271 Grade 8 Curriculum ddrouil2 https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660674399 C1.1 Patterns identify and compare a variety of repeating, growing, and shrinking patterns, including patterns...

C2.3 Equalities and Inequalities
solve equations that involve multiple terms, integers, and decimal numbers in various contexts, and verify solutions

C2.4 Equalities and Inequalities
solve inequalities that involve integers, and verify and graph the solutions ]]> 2021-07-26 03:36:06 UTC https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660674399 Grade 9 Curriculum ddrouil2 https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660674492 C1. Algebraic Expressions and Equations demonstrate an understanding of the development and use of algebraic concepts...

C3. Application of Relations
represent and compare linear and non-linear relations...

C4. Characteristics of Relations
demonstrate an understanding of the characteristics of various representations of linear and non-linear relations...

D2. Mathematical Modelling
apply the process of mathematical modelling, using data and mathematical concepts from other strands

E1. Geometric and Measurement Relationships demonstrate an understanding of the development and use of geometric and measurement relationship...]]> 2021-07-26 03:36:11 UTC https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660674492 Grade 10 Curriculum ddrouil2 https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660674593 1. Quadratic Relations of the Form y ax2 = + bx + c Unit
2. Analytic Geometry Unit]]> 2021-07-26 03:36:18 UTC https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660674593 YOUR TURN ddrouil2 https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660706929 Here is the LINK to Desmos! Please make sure to click on the 3 horizontal bars in the top left corner to experiment with this software
Also click here https://www.desmos.com/ for the full website! Lots of great tools]]> 2021-07-26 04:04:18 UTC https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660706929 Welcome to The Math Learning Center ddrouil2 https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660714444 https://www.mathlearningcenter.org/apps 

Please make sure to check out this amazing resource! There are applications avaliable to teachers and student that allow for the ability to manipulate geometric figures, fractions, place values, financial literacy, and even a white board application. ]]> 2021-07-26 04:11:36 UTC https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660714444 Advantages of Virtual Manipulatives ddrouil2 https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660719969 Manipulatives have long been an effective tool in supporting the mathematical knowledge of our students and many of us use manipulatives in our own practice. The Math Learning Center is a particularly useful example of how we can take those same type of manipulatives and transfer them to a virtual setting that allows for greater interaction with knowledge, and the ability to bring in more diverse manipulative opportunities. 

Through these applications, teachers can use this software to deepen the feedback that students receive that can alert them to inaccuracies in their thinking or scaffold their learning quite effectively. Often, we can use these technologies to help students with the mathematical thinking by providing them with the environment and tool necessary for interacting with their conjectures and examine their thinking and validity. Together the Math Learning Center provides us exploratory tools that would not be as readily available or accessible  if they were placed into their physical form. Unlike what you had experienced through Desmos, this software will require carefully designed tasks for students to interact with this software in a meaningful way. 
(Martinovic & Manizade, 2014)

]]> 2021-07-26 04:16:52 UTC https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660719969 Applications of The Math Learning Center ddrouil2 https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660739643 As mentioned earlier, the software that this website offers is extremely easy to use and delivers a high level of interactions and manipulation for students, but it is not as structured as a software as Desmos so it will require more rigorous planning for activities to run smoothly. I would recommend that you provide an example or model the way that you want your students to interact with the software to avoid confusion.

With high structured activities the areas that this software can be used is up to your imagination as a teacher. Below you will see some general connections to intermediate math curriculum with a specific focus on the number sense and geometry strands]]> 2021-07-26 04:36:26 UTC https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660739643 Grade 7 Curriculum ddrouil2 https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660744975 B1. Number Sense demonstrate an understanding of numbers and make connections...
B1.4-7 Fractions, Decimals, and Percents use equivalent fractions to simplify fractions
B2.2 Math Facts understand and recall commonly used percents, fractions, and decimal equivalents
B2.4-10 Addition and Subtraction, Multiplication and Division
use objects, diagrams, and equations to represent, describe, and solve situations...
C1. Patterns and Relationships identify, describe, extend, create, and make predictions about a variety of patterns, including those found in real-life contexts. ]]> 2021-07-26 04:42:03 UTC https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660744975 Grade 8 Curriculum ddrouil2 https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660745105 B1. Number Sense
demonstrate an understanding of numbers and make connections...
B2. Operations use knowledge of numbers and operations to solve mathematical problems...
 C1.1-3 Patterns
C4. Mathematical Modelling ]]> 2021-07-26 04:42:12 UTC https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660745105 Grade 9 Curriculum ddrouil2 https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660745200 B1. Development of Numbers and Number Sets
B3. Number Sense and Operations
C1. Algebraic Expressions and Equations
D2. Mathematical Modelling
E1. Geometric and Measurement Relationships
F1. Financial Decisions]]> 2021-07-26 04:42:18 UTC https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660745200 Grade 10 Curriculum ddrouil2 https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660745331 1. Using Analytic Geometry to Verify Geometric Properties 
2.  Investigating Similarity and Solving Problems Involving Similar Triangles 

]]> 2021-07-26 04:42:23 UTC https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660745331 YOUR TURN ddrouil2 https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660788428 Take a look through the applications that I identified at the start of the this collumn. I know when I was getting myself oriented with this software that is when I started to see all of the amazing applications of this tool. 
https://www.mathlearningcenter.org/home]]> 2021-07-26 05:29:33 UTC https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1660788428 Interactive Whiteboards and SMART Board Technology ddrouil2 https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1661247589 When discussing these tools, it is important to know that there is a wide range of whiteboard technologies available for teachers. During this past year with most of us having to teach online at some point, online whiteboards became more accessible to students through google classroom, microsoft OneNote, Microsoft Teams, and other online avenues. This is not to take away from the actaul use of physical whiteboards in your classroom as well, both ones positioned around the classroom but also personal whiteboards for your students to engage with math content through. ]]> 2021-07-26 16:43:22 UTC https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1661247589 Advantages of Interactive Whiteboards and SMART tech. ddrouil2 https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1661251327 One amazing advantage of interactive whiteboards and SMARTboard type technology is that they allow the teacher to become an active participant in student learning. Findings have shown that interactive whiteboards are effective tools to bridge the gap between student mental representations and mathematic conceptualization. 

These tools are also fantastic for whole class discussions and group work due to the increased level of manipulation and flexibility of student contributions which is relatively unavailable from traditional chalk boards. 

Please check out this image from the Ministry's interactive whiteboard publication for ways of shifting your pedagogy to include this technology  (Ministry of Education, 2012)
]]> 2021-07-26 16:48:54 UTC https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1661251327 Welcome to eTextbooks ddrouil2 https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1661270277 As we continue to imagine what the classroom will look like as we return from a year and a half of uncertainty related to the classroom environment, many of those who taught high school had to deal with the constant exchange of physical textbooks. For some the ability to put their textbook online was a welcomed tool. Now as we return your staff may be considering if you purchase new physical textbooks, but you may also want to consider investing in an eTextbook to better support your learners. ]]> 2021-07-26 17:17:37 UTC https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1661270277 Advantages of eTextbooks ddrouil2 https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1661272166 A study by Radović, Radojičić, Veljković & Marić (2020) investigated the effectiveness of eTextbook technology on mathematics achievement. They found: 
A) That the use of an eTextbook increased student motivation and classroom engagement. 
B) eTextbooks provided teachers with increased opportunities to vary/differentiate their instructional practices. 
C) Increased a student's ability to perceive mathematical patterns, relationships, and objects. 
D) Students also identified that the access to immediate feedback through the e-text also helped to increase their engagement while working from home and on their own time. 
E) Students who used the eTextbook demonstrated greater knowledge, and improved retention of learned material. 
(pp. 45-46)

]]> 2021-07-26 17:20:55 UTC https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1661272166 Applications of an eTextbook ddrouil2 https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1661297647 The uses of an eTextbook extend themselves beyond the normal uses of a textbook which is used to facilitate and provide an anchor to student learning. eTextbooks provide features that a physical text cannot like allows you as an educator to check in and see how your students are interacting with their text on an individual basis. This can be useful to see where students have highlighted material, what questions they have struggled with, and even how often they are accessing their text. Also, most eTextbooks come with the ability for teachers to make notes on pages of the text to remind students of conversations or examples that they used in class.  
(Pearson .com, has some great ideas of how to use these resources)]]> 2021-07-26 17:58:35 UTC https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1661297647 Curriculum ddrouil2 https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1661305200 As you may expect, these tools are able to be applied to each strand of curriculum for grade 7-10. The key is that this resource provides students with access to the content regularly covered in your class, but through a medium that incorporates new methods of interaction.]]> 2021-07-26 18:11:29 UTC https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1661305200 YOUR TURN ddrouil2 https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1661307386 I would recommend that you take a look at some of the textbook providers that you use at your school to see if they offer the text you currently use in a digital format. Also conversations with a Department Head or Principal about these resources may spark some purchasing power in the future. As you move closer to the start of the next year, also consider how these features could support the diversity of learners in your classroom and students with learning exceptionalities. ]]> 2021-07-26 18:14:35 UTC https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1661307386 YOUR TURN ddrouil2 https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1661309889 The Ministry of Education published a great resource on the usefullness of interactive whiteboards in the classroom back in 2012. Click the LINK for access to that document. 
I have also hear rumours that some school boards are not longer funding SMART Board etchnology unless a teacher outright asks for it, so make sure you are having a conversation with your Department Head and Principal about getting these resources for your class. 

Resources for Interactive Whiteboards: 
https://crm.org/news/best-online-whiteboard 
- https://tmerc.ca/ ]]> 2021-07-26 18:19:21 UTC https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1661309889 Curriculum ddrouil2 https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1661320474 An interactive whiteboard can be used for each strand of curriculum at any age. The key to this use is to focus on establishing a more significant interaction between students and curriculum, teachers and students, and students with one another as you facilitate their learning. ]]> 2021-07-26 18:40:41 UTC https://padlet.com/ddrouil2/rv1vwhdfhcene28q/wish/1661320474