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Subscription websites for IB teachers & their classes

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Website by O. Bowles, J. Noble & C. Noble

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DP Maths: Applications & Interpretations: HL Matrix Arithmetic, Inverse & Sim Equations 1.14

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On this page you can find a set of videos, created by Dr James Tanton, for the topic AHL 1.14 that provide an intuitive, conceptual insight into what matrices are, why they are useful and how we calculate with them. Calculating a matrix”s inverse and solving simultaneous equations using matrices are also covered [note: the film “The Matrix” (pause the clip at 34, 58, 66/67, 68/69 and 80 seconds to see “the matrix”!)…

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So much mathematics is motivated by real-world scenarios. Yet, in the end, mathematics is bigger and bolder than any single real-world context - even the one that inspired it in the first place!

Welcome to The Truth About Arithmetic!

In this blog series, I'll dive into the intriguing space where real-world motivations for math intersect with the stunning, bold landscape of mathematics itself. Math goes beyond any single context and certainly stretches past the schoolbook attempts to make every concept feel concrete and "relevant." While real-world examples are crucial for motivation and intuition, math ultimately operates on a different level. It uncovers the core mechanisms that make ideas click and then expands on those fundamental insights to open up a whole new expanding universe of deep understanding.

But this presents a real challenge for curriculum writers and educators. They need to balance using real-world models to motivate and help students make sense of new topics while also recognizing that math can stand on its own. Sometimes, math offers answers that go beyond what those models can show. For example, there's a reason why "negative times negative equals positive" makes sense, or why the "keep, change, flip" mantra works perfectly for dividing fractions.

In this series, I'll explore topics that matter to educators from middle school to college, tackling questions that even students in Abstract Algebra often wrestle with. Each post will be part of a bigger story about numbers and arithmetic, structured into five parts:

1. Motivation from the Real World

2. Math's Take-Away

3. Math's Boldness

4. How to Use this Knowledge in the Classroom

5. How to Tackle Those Thorny "Elementary" Questions You Secretly Hope Students Won't Ask

I'd love to hear your comments, reactions, and any "thorny questions" you'd like me to dive into.

Let's embark on this mathematical journey together!

Click here for the chapter.
Early-grade curricula typically introduce three interpretations of division: counting groups, equal sharing, and multiplication in reverse. These concepts are often presented separately, leaving it unclear that they are logically equivalent. Their equivalence is usually taken for granted.

Let's sort matters out!
Thorny Questions Answered:

What is the "right" way to think of division?

What is the value of 8÷2(2+2)?

Why can't you divide by zero?

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In this blog series, I'll dive into the intriguing space where real-world motivations for math intersect with the stunning, bold landscape of mathematics itself. Math goes beyond any single context...

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Project Math Teaching and Learning plans 

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Project Math Teaching and Learning plans 

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Complete lessons involving inquiry sheets and questions probing discussion in the class - https://www.projectmaths.ie/for-teachers/resources/junior-certificate/

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PDST Post-Primary Maths | Teaching and Learning Plans

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This document has a checklist explaining each criterion in detail and has three example explorations to show how each point in the checklist can be successfully completed

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This document has a checklist explaining each criterion in detail and has three example explorations to show how each point in the checklist can be successfully completed

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A checklist for detailing the extended essay expectations

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A checklist for detailing the extended essay expectations

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Maths Missionary – P. K. Srinivasan2010IssueXIV

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#Feedback

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Rethinking Mathematics - Critical approach through TOK

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"I don't wonder, I know"

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Get access to files anywhere through secure cloud storage and file backup for your photos, videos, files and more with Google Drive.

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Amazingly Simple Graphic Design Software - Canva

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Google folder with the resources used during the session.

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Presentation used for the session.

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Designing Differentiated Math Instruction Using Learner Variability Strategies Final

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Google folder with resources used during the session

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How Over What - Math Enclave session Dec 2024

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Presentation used during the session.

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ICT tools used in Math TLP

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Happy Exploring !! Learning through Projects

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Explore this resource to learn about AI tools that can be applied in the MYP classroom.

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Classroom Resources - Texas Instruments - US and Canada

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Encourage students to explore, evaluate and explain the world around them with project-based classroom activities, interactive technology and educator professional development that helps teachers put it all together in the classroom.

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Encourage students to explore, evaluate and explain the world around them with project-based classroom activities, interactive technology and educator professional development that helps teachers put it all together in the classroom.

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Building Concepts uses an approach that gives teachers interactive visuals, questions that push students' thinking and guidance to help their students build a coherent understanding of important mathematical ideas.

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Learn a skill a day for 20 days in order to get the most out of this graphic display calculator

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TI-Nspire CX Essential Skills Checklist :: A Transum Worksheet

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To access this worksheet please sign in to your Transum subscription account. If you do not yet have an account and you are a teacher or parent you can apply for one here.

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Learn and create with AI. Generate images, audio, insights, content, concepts... Albus is your extraordinary AI platform for research and productivity.