# Understanding Middle School Math Cool Problems to Get Students Thinking and Connecting

## Edition: 2009

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Description:   A book of cool problems for middle school mathematics classrooms - does it get any better? Yes, it does. Art Hyde and his colleagues go far beyond providing a collection of problems. They address big ideas, make connections, nurture the use of varied representations, and provide vivid accounts of actual classroom implementation. - Judith Zawojewski Board of Directors, NCTM   Imagine handing students state-by-state data on the number of gallons of soft drinks sold per person in one year. Imagine using it to lead a vibrant problem-solving session in which students energetically pose and answer mathematical questions: Why does it say sold instead of consumed?   What IS a soft drink? Is it the same as soda? Who would collect this kind of data? Why would they collect it? How was gallons per person calculated? What was the total amount of soda sold in our state? How many 12 ounce cans is that? 20 ounce bottles? How many of each per person?   Understanding Middle School Math gathers 50 cool problems like this that lead to deep thinking. Problems such as the Renovation Problem, in which students uncover ideas about how perimeter, area, length, and cost affect a construction project. Or Chocolate Algebra, where they discover linear relationships among the pocket money available to buy two differently priced chocolate candies.   Arthur Hyde combines the latest research and decades of classroom experience to braid language, cognition, and math. His approach can help any student, including underprepared ones, with the rigors of math in middle school and beyond. He has created and adapted problems that strongly connect math to the real world, to students' lives, and to prior knowledge. Problems that scaffold content and processes, and give students multiple entry points into learning. Every problem has been extensively field tested and refined by classroom teachers. And for each cool problem practicing middle school teachers describe how they used it to differentiate over a wide range of students and extend learning.   For fantastic problems your students won't soon forget and teaching solutions that are exciting, substantial, and transformative, turn to Art Hyde. Read and use Understanding Middle School Math and pass your love of math on as you meet your classroom goals.

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#### Book details

List price: \$36.25
Publisher: Heinemann
Publication date: 4/9/2009
Binding: Paperback
Pages: 280
Size: 7.50" wide x 9.25" long x 0.50" tall
Weight: 1.298
Language: English

Arthur Hyde is the author or coauthor of the Heinemann titles Understanding Middle School Mathematics; Comprehending Math; Best Practice, Fourth Edition; and Mathwise. A professor of mathematics education at National-Louis University , he received its Excellence in Teaching award. While teaching high school mathematics in Philadelphia , he developed a variety of creative methods for teaching math. He also obtained a doctorate in curriculum and instruction from the University of Pennsylvania , where he later was Associate Director of Teacher Preparation. He continues to work frequently in elementary and middle school classrooms and conducts extensive professional development programs on mathematics and problem solving in Chicago and its surrounding school districts.

 Foreword Introduction What You Teach and How You Teach It The Power of KWC: An Alternative to Key Words Using KWC to Tap Prior Knowledge Using KWC to Structure Group Learning Using KWC to Deepen Connections Extensions Six Big Ideas The Research on Mathematical Learning and Teaching Engaging Prior Understanding The Essential Role of Factual Knowledge and Conceptual Frameworks The Importance of Self-Monitoring Six Big Ideas: Building on Mathematical Research and Principles Teachers Broaden Their View of Problem Solving Making Connections Between the Problem and Their Lives Creating Multiple Representations of Increasing Abstraction Students Solving Problems: Same Concept, Multiple Contexts Cognitively Based Planning for Language, Connections, Contexts, and Representations Integrating Reading Comprehension Strategies and Math Processes via Cognitive Principles Making Meaningful Connections Among Mathematical Concepts The Connectedness of Strands How Does This All Fit Together? Numbers and Early Algebra Algebra in the Classroom, Then and Now Partial Products Like You've Never Seen Them Starting Out with Base Ten Blocks and Graph Paper Moving on to More Abstract Representations and Mental Math Red Dots Algebra Tiles Partial Quotients Andy's Inheritance Square the Digits and Sum the Squares Summing the Cubes 'The Irrational Tangram Proportional Reasoning What Proportional Reasoning Looks and Sounds Like in the Classroom Shampoo Bottle Cats and Rats Making Seismometers Developing Students' Proportional Reasoning Skills Understanding Differences Between Additive and Multiplicative Transformations Understanding Ratios Understanding Rates Interesting Applications of Rate Algebraic Thinking and Modeling Line of Best Fit and Linear Combinations Positive Slope Situations Inverse Linear Relations Finite Differences: Quadratic, Cubic, and Beyond Quadratic Equations Cubic Equations Conclusion Geometry and Measurement Multiple Representations for Solving a Geometry Problem Ordering Shapes by Two-Dimensional Size Measuring the Area Make My Polygon A Great Extension: Making Dodecagons What's Your Angle? Tessellations: A Different Way Pythagoras 'R' Us Pythagoras and Similarity Primitive Pythagorean Triples (PPT) Geometry and the Metric System Silent Snow, Secret Snow Conclusion Data Analysis and Probability Exploring Experimental Probability Chevalier de Mere's Game of Chance Inference and Prediction: Probability Bags A Plethora of Pigs Model Building with Montana Red Dog Exploring Possible Outcomes in Theoretical Probability Combination Pizzas and Permutation Locks Product Versus Square Montana Red Dog Follow-Up De Mere's Bets Follow-Up Concluding Thoughts Appendix References Problem Index Index
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*A minimum purchase of \$35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.