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Connecting Arithmetic to Algebra
"To truly engage in mathematics is to become curious and intrigued about regularities and patterns, then describe and explain them. A focus on the behavior of the operations allows students starting in the familiar territory of number and computation to progress to true engagement in the discipline of mathematics." -Susan Jo Russell, Deborah Schifter, and Virginia Bastable Algebra readiness: it's a topic of concern that seems to pervade every school district. How can we better prepare elementary students for algebra? More importantly, how can we help all children, not just those who excel in math, become ready for later instruction? The answer lies not in additional content, but in developin...
But why Does it Work?
If you ask students, "Why does that work?" do they know what you're asking and do you know what to listen for in their responses? Do you have images of what mathematical argument looks like in the elementary grades and how to help students learn to engage in this important practice? Do you have so much content to cover that finding time for this kind of work is difficult? But Why Does It Work? offers a simple, efficient teaching model focused on mathematical argument for developing the ability of students to justify their thinking and engage with the reasoning of others. Designed for individuals as well as study groups, this book includes access to classroom-ready instructional sequences, ea...
Interweaving Equitable Participation and Deep Mathematics
"It has long been recognized that common or traditional mathematical teaching practices do not serve all students. Often, lessons are pitched toward the "average" student in the class, leaving unengaged both students who are seen as advanced and those who are perceived as having difficulty. Lessons that depend on voluntary participation may be dominated by the quickest, most confident students. Teachers' interactions with students based on perceptions, perhaps unconscious, of students' relative mathematical competence, can discourage participation of students from groups historically underrepresented in mathematics, particularly Black and Hispanic students, females, English language learners, and students with disabilities"--
Modeling with Data
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Reasoning Algebraically about Operations Casebook
"Participants examine generalizations at the heart of the study of operations in the elementary grades. They express these generalizations in common language and in algebraic notation, develop arguments based on representations of the operations, study what it means to prove a generalization, and extend their generalizations and arguments when the domain under consideration expands from whole numbers to integers"--DMI website
