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 +…

Recent research has explored the efficacy of the CRA-I (concrete-representational-abstract) strategy with students with disabilities (Strickland & Maccini, 2012, 2013). The CRA-I strategy is a promising practice that special educators have used to teach algebra to students with high-incidence disabilities. The CRA-I strategy is a modification…

Gain a new perspective on the sharing of erroneous solutions in classroom discussions. Based on their research in grades four and six, the authors reveal how student-to-student correction of errors promotes mathematical reasoning and understanding. Tips for teachers include strategies for using students' errors to encourage reasoning during…

The purpose of this study was to systematically replicate and extend previous studies of the TOUCHMATH program, a multi-sensory mathematics program (Bullock, Pierce, & McClellan, 1989). Three middle school students with moderate and multiple disabilities (e.g., autism and moderate intellectual disabilities) participated. Students were taught how…

We investigated the effects of transparent fraction names on children's reasoning about fractions. U.S. and Korean first and second graders were tested using verbal and nonverbal measures. On a verbal task, Korean students were worse at interpreting their own conventional fraction names than interpreting modified terms with a more familiar word…

The purpose of this study is to find out if meaningful educational activities and the use of a manipulative in those activities might have an impact on student achievement. Using manipulative as cognitive tools should improve the teaching and learning process, and encourage student reflections on retaining the information. It has been claimed that…

This article describes the results of a year-long exploration of first graders' tool use. It also showcases instructional activities designed to link tool use with quantitative understanding. (Contains 3 figures.)

"Progress in Mathematics[C] 2006" is a new core curriculum for students in kindergarten through grade 6. "Progress in Mathematics[C] 2006" differs substantively from "Progress in Mathematics[C] 2000" in both content and assessment material. "Progress in Mathematics[C] 2006" uses a sequence of systematic…

"Houghton Mifflin Mathematics" is a core curriculum for kindergarten through grade 6 students at all ability levels. According to its developer, "Houghton Mifflin Mathematics" emphasizes the five content strands and processes recommended by the National Council of Teachers of Mathematics Standards. At each grade level the…

A committee composed of students, parents, teachers, administrators, college/university persons, and representatives from business and industry carefully studied the mathematics curriculum in North Carolina public schools and formulated the recommendations contained in this report. It contains ideas, suggestions, and information resulting from…