• Journal of Educational Research in Mathematics
• /
• v.14 no.4
• /
• pp.421-434
• /
• 2004

Cognitively Guided Instruction (CGI) is one of the most successful professional development programs for elementary mathematics teachers in US. This article introduces its theoretical background, research-based framework of addition and subtraction work, and how the program has been disseminated. Carpenter and Fennema started CGI aiming to develop a professional development program that focused on research knowledge of children"s thinking. Their goal was. to bring a significant change in teaching by helping teachers understand how children think mathematically. This 3-year NSF funded project grew to be 11-year long, and a number of publications have reported consistent successful learning and teaching by CGI students and teachers compared to counterparts throughout US. CGI′s success by focusing on improving teachers′ knowledge of children′s thinking offers possible opportunities for teacher educators to re-conceptualize teacher education in Korea.

• Research in Mathematical Education
• /
• v.11 no.2
• /
• pp.127-141
• /
• 2007

This paper compares and analyzes mathematics teachers' understanding of students' mathematical comprehension after experiences with the Cognitively Guided Instruction (CGI) or the Development of Mathematical Ideas (DMI) teaching strategies. This report sheds light on current issues confronted by the educational system in the context of mathematics teaching and learning. In particular, the declining rate of mathematical literacy among adolescents is discussed. Moreover, examples of CGI and DMI teaching strategies are presented to focus on the impact of these teaching styles on student-centered instruction, teachers' belief, and students' mathematical achievement, conceptual understanding and word problem solving skills. Hence, with a gradual enhancement of reformed ways of teaching mathematics in schools and the reported increase in student achievement as a result of professional development with new teaching strategies, teacher professional development programs that emphasize teachers' understanding of students' mathematical comprehension is needed rather than the currently dominant traditional pedagogy of direct instruction with a focus on teaching problem solving strategies.

• Research in Mathematical Education
• /
• v.9 no.1 s.21
• /
• pp.1-9
• /
• 2005

This paper investigates instructional strategies with potential for improving students' achievement in word problem solving. This review compares and analyzes the direct instruction (DI) and cognitively guided instruction (CGI) research on K-3 word problem solving mathematics students in a demonstration of my position that teachers need to understand student mathematical thinking to enhance students' achievement in word problem solving. CGI provides a more appropriate instructional model than DI for teaching word problem solving. For example, student-centered, conceptual understanding, and children's informal or invented problem solving strategies communicating with each other mathematically, etc. Korean teachers and teacher educators need to consider implementing CGI teaching strategies.

• Journal of Elementary Mathematics Education in Korea
• /
• v.10 no.2
• /
• pp.127-150
• /
• 2006

The purpose of this study is to apply the principles of CGI(Cognitively Guided Instruction) into mathematics class in Korean elementary schools and to explore which mathematical concepts Korean students have and how they use informal knowledge and procedures to solve problems. In addition, this study tries to analyze difficulties that teachers might face when they are planning mathematics teachings based on CGI. The conclusions of this study are followings: First, the mathematics teaching based on CGI provides opportunity for students to communicate about mathematical knowledge that they know, The students are sure of their thoughts and learn from others by presentation. Second, the mathematics teaching based on CGI make students think mathematically. The students try to understand the meaning of problems and find various ways. Third, teachers should lead appropriate environment for the mathematics teaching based on CGI. They should offer proper problems and encourage their students to ask and answer questions respectively.