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Direct linkBurch, Lori; Tillema, Erik S.; Gatza, Andrew M. – Mathematics Teacher: Learning and Teaching PK-12, 2021
As algebra teachers, the authors explore the following question in this article: "How can algebra 1, algebra 2, and precalculus teachers support students to develop algebraic reasoning and understanding of structure that can serve them in day-to-day algebraic computation?" The article shows how the algebraic identity "(a +…
Descriptors: Algebra, Mathematics Instruction, Calculus, Mathematics Teachers
Rossi, Paul S. – PRIMUS, 2008
The basic rules of elementary algebra can often appear beyond the grasp of many students. Even though most subjects, including calculus, prove to be more difficult, it is the simple rules of algebra that continue to be the "thorn in the side" of many mathematics students. In this paper we present a result intended to help students achieve a…
Descriptors: Calculus, Algebra, Mathematics Instruction, Mathematical Concepts
Download full textSelden, John; Selden, Annie – Online Submission, 2004
In this paper, we will discuss the way various features of consciousness interact with each other and with cognition, specifically, the cognition of mathematical reasoning and problem solving. Thus we are interested in how consciousness and cognition "work," in a somewhat mechanistic way, rather than in larger philosophical questions about…
Descriptors: Problem Solving, Mathematics Skills, Schemata (Cognition), Guidelines
