2007Middle Grades Research JournalOpen access

Teaching and Learning Middle Grades Mathematics with Understanding

Gerald Kulm, Robert M. Capraro, Mary Margaret Capraro

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Abstract

This study addresses the nexus of two critical challenges for today’s mathematics teacher. On the one hand, teaching for understanding for all students is the goal of most mathematics teachers. However, many teachers also must acknowledge and address the requirement that students do well on high stakes tests. This study analyzed data on 6th grade students’ performance and achievement after a year-long implementation of Connected Mathematics (CMP). Texas Assessment of Academic Skills (TAAS) data were analyzed, comparing students’ achievement from 5th to 6th grade. The variables of at-risk, socio-economic status, and ethnicity were analyzed to determine the nature and practical importance of adopting CMP. The results indicated that the overall gain from using CMP materials over the previous year’s mathematics achievement was four points (p < .01). The at-risk students demonstrated a mean 10-point gain (p < .01) while the non at-risk students demonstrated a mean 2-point gain.

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What this paper is about

This study addresses the nexus of two critical challenges for today’s mathematics teacher. On the one hand, teaching for understanding for all students is the goal of most mathematics teachers. However, many teachers also must acknowledge and address the requirement that students do well on high stakes tests. This study analyzed data on 6th grade students’ performance and achievement after a year-long implementation of Connected Mathematics (CMP). Texas Assessment of Academic Skills (TAAS) data were analyzed, comparing students’ achievement from 5th to 6th grade. The variables of at-risk, socio-economic status, and ethnicity were analyzed to determine the nature and practical importance of adopting CMP. The results indicated that the overall gain from using CMP materials over the previous year’s mathematics achievement was four points (p < .01). The at-risk students demonstrated a mean 10-point gain (p < .01) while the non at-risk students demonstrated a mean 2-point gain.

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Available abstract

This study addresses the nexus of two critical challenges for today’s mathematics teacher. On the one hand, teaching for understanding for all students is the goal of most mathematics teachers. However, many teachers also must acknowledge and address the requirement that students do well on high stakes tests. This study analyzed data on 6th grade students’ performance and achievement after a year-long implementation of Connected Mathematics (CMP). Texas Assessment of Academic Skills (TAAS) data were analyzed, comparing students’ achievement from 5th to 6th grade. The variables of at-risk, socio-economic status, and ethnicity were analyzed to determine the nature and practical importance of adopting CMP. The results indicated that the overall gain from using CMP materials over the previous year’s mathematics achievement was four points (p < .01). The at-risk students demonstrated a mean 10-point gain (p < .01) while the non at-risk students demonstrated a mean 2-point gain.

Key concepts: Mathematics education, Psychology, Teaching method, Pedagogy

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