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Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 6 Paperback – 18 December 2018
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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 sixth-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 message—that 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.
From the Publisher
For each big idea, the Mindset Mathematics series has three activities, one that engages the students visually, one that engages them through investigation, and one play activity.
Brain scientists now know that when we work on mathematics, even when we perform a bare number calculation, five areas of the brain are involved. Two of the five brain pathways—the dorsal and ventral pathways—are visual. Now brain scientists know that our brains “see” fingers when we calculate, and knowing fingers well—what they call finger perception—is critical for the development of an understanding of numbers.
Our brain wants to think visually about mathematics, yet few curriculum materials engage students in visual thinking. Some mathematics books show pictures, but they rarely ever invite students to do their own visualizing and drawing.
In addition to the brain development that occurs when students think visually, we have found that visual activities are really engaging for students. Connecting visual and numerical representations encourages important brain connections as well as deep student engagement.
A crucial finding from neuroscience is the importance of students struggling and making mistakes—these are the times when brains grow the most. In one of my meetings with a leading neuroscientist, he stated it very clearly: if students are not struggling, they are not learning. We want to put students into situations where they feel that work is hard, but within their reach.
Do not worry if students ask questions that you don’t know the answer to; that is a good thing. It is good to say to your students, “That is a great question that we can all think about” or “I have never thought about that idea; let’s investigate it together.” It is even good to make mistakes in front of students, as it shows them that mistakes are an important part of mathematical work.
Opening mathematics involves inviting students to see ideas differently, explore with ideas, and ask their own questions. Students can gain access to the same mathematical ideas and methods through creativity and exploration that they can by being taught methods that they practice. Albert Einstein famously once said that “play is the highest form of research.” This is because play is an opportunity for ideas to be used and developed in the service of something enjoyable. Play activities can invite students to work with each other, building understanding together.
From the Publisher
JO BOALER is a professor of mathematics education at Stanford University and co-founder and faculty director of youcubed. She serves as an advisor to several Silicon Valley companies and is a White House presenter on girls and STEM (Science, Technology, Engineering, and Math). The author of seven books, including Mathematical Mindsets, and numerous research articles, she is a regular contributor to news and radio in the United States and England.
JEN MUNSON is a postdoctoral fellow at Northwestern University, a professional developer, and a former classroom teacher. She received her PhD in mathematics education from Stanford University. Her research focuses on responsive, equitable mathematics instruction.
CATHY WILLIAMS is the co-founder and the executive director of youcubed at Stanford University. Before working at youcubed, she was a high school math teacher and worked in mathematics curriculum and administration at the county and district levels in California.
From the Inside Flap
Engage Your Students in Visual, Creative Explorations of the Big Ideas in Mathematics
The Mindset Mathematics series offers a unique, research-based visual approach to exploring the big ideas in mathematics, which is essential to future mathematics success. This hands-on resource is for any teacher who wants to engage their sixth grade students in reasoning and persisting through problems, and provides activities that will engage students' interest and show them the many ways that mathematics is important in their lives.
During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message: Teachers want to incorporate more brain science into their mathematics instruction, but they need guidance in the techniques that work best to promote learning of mathematics concepts. In this much-needed volume, the authors clearly show what the big ideas are at this grade level, why they are important to know, and how students can best learn those big ideas.
Filled with engaging questions, open-ended tasks, and four-color visuals, Mindset Mathematics is designed to be flexible so that it can be used with any current curriculum. All of the activities and tasks include instructions for launching in the classroom, suggestions for facilitating dynamic discussions, and guidance for what to look for in student thinking as it develops.
- Publisher : Jossey-Bass; 1st edition (18 December 2018)
- Language : English
- Paperback : 272 pages
- ISBN-10 : 1119358833
- ISBN-13 : 978-1119358831
- Dimensions : 21.08 x 1.02 x 27.18 cm
- Best Sellers Rank: 5,824 in Books (See Top 100 in Books)
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Only thing that has been brought up between myself and some other teachers is thsr the different grades are very similar. It wouldn't be beneficial for me to purchase the 4 or the 5 as many of the tasks are the same.