Preface Chapter 1 The challenge Chapter 2 The nature of the evidence: A synthesis of meta-analyses Chapter 3 The argument: Visible teaching and visible learning Chapter 4: The contributions from the student Chapter 5 The contributions from the home Chapter 6 The contributions from the school Chapter 7 The contributions from the teacher Chapter 8 The contributions from the curricula Chapter 9 The contributions from teaching approaches - I Chapter 10 The contributions from teaching approaches - II Chapter 11: Bringing it all together Appendix A: The 800 meta-analyses Appendix B: The meta-analyses by rank order References

Visible Learning: A Synthesis of Over 800 Meta-Analyses Relating to Achievement

The power of feedback.

미국의 “전국 수학 교사 협의회”(National Council of Teachers of Mathematics, NCTM)는 1989년부터 〈학교 수학의 교육과정과 평가 규준〉(1989), 〈수학 가르침(교수)의 전문성 규준〉(1991), 〈학교 수학의 평가(시험) 규준〉(NCTM, 1995), 〈학교 수학의 원리와 규준〉(2000)을 출판하여 미국의 수학 교육 의 전망(목표, 나아갈 길)과 규준(실행 지침)을 제시하였다. 수학 교사들로 구성된 미국의 NCTM은 학생, 학부모, 학교 행정가 등 많은 사람들과 힘을 합하여 모든 학생들에게 수준 높은 수학 교육을 받을 수 있는 여건(환경, 기회)을 조성하는 데 구심점의 역할을 하였다. 한편 많은 관련 단체들은 여러 배경과 능력을 가진 학생들이 전문성을 지닌 교사(특수 교사를 일컫는 밀이 아니다. 수학 교과를 이해하고 수학의 전문성과 특수성을 가르칠 수 있는 일반 교사를 일컫는 말이다.)로부터 미래를 대비해 평등하고, 진취적이며, 지원이 잘 이루어지고, 공학 도구(IT)가 잘 갖춰진 환경에서 중요한 수학적 아이디어를 이해하면서 학습할 수 있는 수학 교실(미국에서는 우리나라처럼 수학 교사가 수학 시간에 학생의 방(교실: Homeroom)에 찾아가지 않고 학생들이 선생의 방(수학 교실: Classroom)을 찾아온다. 전형적인 수학 교실의 사진은 2쪽에 나와 있다.)을 만들기 위해 함께 힘썼다. NCTM에서 출간한 여러 규준들은 우리나라의 제6차와 제7차 교육과정에도 큰 영향을 미쳤다. 이 글에서는 NCTM(2000)에서 제시한 학습 원리를 간단히 살펴본 다음 이를 중심으로 현재 미국 수학 교육의 교수ㆍ학습 이론의 동향을 살펴본다.

미국 NCTM의 Principles and Standards for School Mathematics에 나타난 수학과 교수,학습의 이론

Eager to Learn: Educating Our Preschoolers

I A Theory of Affect for Mathematical Problem Solving.- 1 Affect and Learning: Causes and Consequences of Emotional Interactions.- 2 The Role of Affect in Mathematical Problem Solving.- 3 Describing the Affective Domain: Saying What We Mean.- II Studies of Learning.- 4 Affect in Schema Knowledge: Source and Impact.- 5 Aesthetic Influences on Expert Mathematical Problem Solving.- 6 Self-Confidence, Interest, Beliefs, and Metacognition: Key Influences on Problem-Solving Behavior.- 7 Information Technologies and Affect in Mathematical Experiences.- 8 Searching for Affect in the Solution of Story Problems in Mathematics.- III Studies of Teaching.- 9 Young Children's Emotional Acts While Engaged in Mathematical Problem Solving.- 10 Teaching Practices and Student Affect in Problem-Solving Lessons of Select Junior-High Mathematics Teachers.- 11 Affect and Problem Solving in an Elementary School Mathematics Classroom.- 12 Affective Factors and Computational Estimation Ability.- 13 Affective Issues in Teaching Problem Solving: A Teacher's Perspective.- IV Responses to the Theory.- 14 The Study of Affect and Mathematics: A Proposed Generic Model for Research.- 15 Psychological Conceptions of Mathematics and Emotion.- V Looking Back.- 16 Affect and Learning: Reflections and Prospects.- 17 Beliefs, Attitudes, and Emotions: New Views of Affect in Mathematics Education.- Author Index.

Affect + Cognition = Mathematical Problem Solving@@@Affect and Mathematical Problem Solving: A New Perspective

This article summarizes the findings of research studies designed to improve the comprehension of expository text for students with learning disabilities. Twenty-nine studies were located that met the inclusion criteria. Interventions gleaned from the review were categorized as content enhancement (i.e., advance and graphic organizers, visual displays, mnemonic illustrations, and computer-assisted instruction) or cognitive strategy instruction (i.e., text structure, main idea identification, summarization, questioning, cognitive mapping, reciprocal teaching). Treatment outcomes are discussed in relation to the various instructional approaches, student characteristics (e.g., grade, IQ), instructional features (e.g., materials, treatment length), methodological features, strategy maintenance, and generalization components. Implications for classroom practice and future research directions are provided.

Improving Comprehension of Expository Text in Students With LD A Research Synthesis

https://dash.harvard.edu/bitstream/handle/1/9767982/STAR%20CEP%20manuscript%20053009.pdf?sequence=1

Improving Seventh Grade Students' Learning of Ratio and Proportion: The Role of Schema-Based Instruction.

The purpose of this synthesis is to summarize the effectiveness of peer-mediated interventions on the mathematics performance of both students with disabilities and those at risk for mathematics disabilities. Meta-analytic techniques were used to calculate mean effect sizes for 17 studies that met inclusion criteria. Results indicate that peer-mediated interventions in mathematics are moderately effective for improving students' mathematics performance. Also, findings are strongest for students at risk for mathematics disabilities, elementary-aged participants, and mathematics computation content. Recommendations for future research and practical implications are discussed.

The Effects of Peer-Mediated Instruction in Mathematics for Students with Learning Problems: A Research Synthesis

This study compared number sense instruction in three first-grade traditional mathematics textbooks and one reform-based textbook (Everyday Mathematics [EM]). Textbooks were evaluated with regard to their adherence to principles of effective instruction (e.g., big ideas, conspicuous instruction). The results indicated that traditional textbooks included more opportunities for number relationship tasks than did EM; in contrast, EM emphasized more real-world connections than did traditional textbooks. However, EM did better than traditional textbooks in (a) promoting relational understanding and (b) integrating spatial relationship tasks with other more complex skills. Whereas instruction was more direct and explicit and feedback was more common in traditional textbooks than it was in EM, there were differences among traditional textbooks with respect to these two criteria. Although EM excelled in scaffolding instruction by devoting more lessons to concrete and semiconcrete activities, traditional textbooks...

/pdf/a-comparative-analysis-of-number-sense-instruction-in-reform-15xua4claw.pdf

A Comparative Analysis of Number Sense Instruction in Reform-Based and Traditional Mathematics Textbooks:

This study examined the effectiveness of a number sense program on kindergarten students’ number proficiency and responsiveness to treatment as a function of students’ risk for mathematics difficulties. The program targeted development of relationships among numbers (e.g., spatial, more and less). A total of 101 kindergarten students (not at risk: 22 control and 36 experimental; at risk: 18 and 25) from five classrooms in a high-poverty elementary school participated in the study. Using a quasi-experimental design, classrooms were randomly assigned to either the intervention (number sense instruction, NSI) or control condition. Results indicated significant differences favoring the treatment students on all measures of number sense (e.g., spatial relationships, more and less relationships, benchmarks of five and ten, nonverbal calculations) at posttest and on a 3-week retention test. Furthermore, the effects were not mediated by at-risk status, suggesting that NSI may benefit a wide range of students. Imp...

Sheetal Sood

Papers

Improving Comprehension of Expository Text in Students With LD A Research Synthesis

Improving Seventh Grade Students' Learning of Ratio and Proportion: The Role of Schema-Based Instruction.

The Effects of Peer-Mediated Instruction in Mathematics for Students with Learning Problems: A Research Synthesis

A Comparative Analysis of Number Sense Instruction in Reform-Based and Traditional Mathematics Textbooks:

An Exploratory Study of a Number Sense Program to Develop Kindergarten Students’ Number Proficiency: