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Multiple-choice testing is an educational reality. Rather than complain about the negative impact these tests may have on teaching and learning, why not use them to better understand your students' true mathematical knowledge and comprehension? Maryann Wickett and Eunice Hendrix-Martin show teachers how to move beyond the student's answer--right or wrong--to uncover understanding and/or misconceptions. By asking a few simple follow-up questions, teachers can learn a great deal about student understanding and make better, more informed instructional decisions. The Beyond the Bubble books (grades 2-3 and grades 4-5) are each divided into five strands--number, measurement, algebra, geometry, an...
Multiple-choice testing is an educational reality. Rather than complain about the negative impact these tests may have on teaching and learning, why not use them to better understand your students' true mathematical knowledge and comprehension? Maryann Wickett and Eunice Hendrix-Martin show teachers how to move beyond the student's answer--right or wrong--to uncover understanding and/or misconceptions. By asking a few simple follow-up questions, teachers can learn a great deal about student understanding and make better, more informed instructional decisions. The Beyond the Bubble books (grades 2-3 and grades 4-5) are each divided into five strands--number, measurement, algebra, geometry, an...
Lessons for K-8 teachers on making algebra an integral part of their mathematics instruction.
"Through these lessons, students begin to understand the rules of divisibility and the connection between multiplication and division. Additionally, students build their understanding of the relationships among dividends, divisors, quotients, and remainders."--pub. desc.
"Through games, investigations, and children’s literature, students explore the base ten system through the ten thousands, moving from using concrete manipulatives to more abstract reasoning. Using addition, subtraction, multiplication, and division, students apply their knowledge of place value to solve a variety of problems."--pub. desc.
"Through a variety of activities, students gain insight into the relationship between division and multiplication and begin to see how division relates to multiple groups of equal size. Students also learn how to recognize the two types of division problems, think about remainders in different ways, and use division to solve real-world problems."--pub. desc.
Lessons, games and activities to increase children's multiplication skills.
This collection of articles and lessons provides classroom examples of how to use children's literature to teach mathematics effectively in prekindergarten through eighth grade. The articles focus on five content strands-number and operations, algebra, geometry, measurement and data analysis and probability-and describe how the different authors have used specific books to help their students learn mathematics. Most of the articles involve communication, problem solving, representation and reasoning and some of them address connections. Helpful teacher notes indicate the grade range, topic, literature selection featured in the lesson, materials needed, discussion of the mathematics and questions for students. Blackline masters of recording sheets are also included for most lessons.
Problem solving and reasoning are students' processes of actively applying what they know to new problems from diverse areas of mathematics. Knowing a variety of mathematical ideas is insufficient unless students can draw on, integrate and use them to solve challenging, complex problems. The Navigating through Problem Solving and Reasoning books for grades 3-6 present hands-on investigations that nurture reasoning and problem-solving strategies in each of the upper elementary grades. In investigations for grade 5, children reason about place value and divisibility by making a PIN for a security system, explore rates of change by projecting sales at a new pet shop and determine the best month...