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School of Education at the University of Wisconsin-Madison

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Home > What's The Research On...?

What's The Research On...?

Mathematics Education

    > Algebraic Reasoning

 An algebra for all students
Development of algebraic reasoning can be fostered in all students and should be integrated with the learning of other mathematics.

Developing algebraic reasoning in the elementary school
When given the opportunity, elementary students learn to adapt their thinking about arithmetic so that it provides a stronger foundation for making the often difficult transition to learning algebra.

Teachers Develop Algebra "Eyes and Ears"
Research enhances teachers' understanding of the kinds of algebraic thinking that needs to occur in elementary school mathematics.

Algebra Instruction, Then and Now
Mathematics reform is not just about curricular expectations: Reform also includes getting inside the teachers’ heads to determine what they think about their own practice, and creating better professional development programs that will train teachers to deliver meaningful content in ways that lead to the highest possible student achievement.

Adolescent Reasoning in Mathematical and Non-mathematical Domains
Why do children appear so capable when reasoning in non-mathematical contexts, yet seemingly appear much less capable when reasoning in mathematical domains? UW-Madison education professors Eric Knuth, Charles Kalish, Amy Ellis, and colleagues explored that paradox. Their research bridges the research on adolescents’ reasoning capabilities within mathematics education and within cognitive science.