Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 7
Jo Boaler, Jen Munson, Cathy Williams
- English
- ePUB (mobile friendly)
- Available on iOS & Android
Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 7
Jo Boaler, Jen Munson, Cathy Williams
About This Book
Engage students in mathematics using growth mindset techniques
The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the seventh-grade level through visualization, play, and investigation.
During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same messageāthat they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that:
- There is no such thing as a math person - anyone can learn mathematics to high levels.
- Mistakes, struggle and challenge are the most important times for brain growth.
- Speed is unimportant in mathematics.
- Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics.
With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum.
Frequently asked questions
Information
BIG IDEA 1
Connecting 2D and 3D Worlds
- How could you slice this solid so that the face that is made has the same area as the base?
- How could you slice it so that the shape has an area bigger than the base?
References
- Menon, V. (2015). Salience network. In A. W. Toga (Ed.), Brain mapping: An encyclopedic reference (Vol. 2, pp. 597ā611). San Diego, CA: Academic Press.
- Nemirovsky, R., Rasmussen, C., Sweeney, G., & Wawro, M. (2012). When the classroom floor becomes the complex plane: Addition and multiplication as ways of bodily navigation. Journal of the Learning Sciences, 21(2), 287ā323. doi:10.1080/10508406.2011.611445
Seeing Slices
Snapshot
Agenda
Activity | Time | Description/ Prompt | Materials |
Launch | 10ā15 min | Show students a rectangular solid made of clay, and then slice that solid on an angle. Without separating the pieces, ask student to predict what shape the face of the slice is. Discuss students' predictions, then reveal and discuss the shape of the face. |
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Explore | 25ā30 min | Small groups explore the question, What different two-dimensional shapes can you make by slicing a rectangular prism? Groups create a rectangular solid from clay and a net to match. Then groups use a cutting tool to slice and re-form the solid repeatedly to explore the shapes of the sliced faces. Students sketch the solid, how it was sliced, and the resulting face shape. |
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Discuss | 15 min | Discuss the two-dimensional shapes students created by slicing their rectangular solids. Discuss patterns for creating rectangles, other quadrilaterals, or triangles. Ask, What shapes cannot be made? Why? | Optional: chart and markers |