A Framework for Understanding and Cultivating the Transition from Arithmetic to Algebraic Reasoning
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[1] Kenneth R. Koedinger,et al. Trade-Offs Between Grounded and Abstract Representations: Evidence From Algebra Problem Solving , 2008, Cogn. Sci..
[2] Elizabeth Fennema,et al. Capturing Teachers’ Generative Change: A Follow-Up Study of Professional Development in Mathematics , 2001 .
[3] R. Case,et al. Teaching mathematical functions in primary and middle school : An approach based on neo-piagetian theory , 1998 .
[4] Robbie Case,et al. The Role of Central Conceptual Structures in the Development of Children's Thought , 1995 .
[5] Carl Bereiter,et al. Education and Mind in the Knowledge Age , 2002 .
[6] Jennifer I. Berne,et al. Chapter 6 : Teacher Learning and the Acquisition of Professional Knowledge: An Examination of Research on Contemporary Professlonal Development , 1999 .
[7] A. Thompson. Teachers' beliefs and conceptions: A synthesis of the research. , 1992 .
[8] T. P. Carpenter,et al. Cognitively Guided Instruction: A Knowledge Base for Reform in Primary Mathematics Instruction , 1996, The Elementary School Journal.
[9] A. Su,et al. The National Council of Teachers of Mathematics , 1932, The Mathematical Gazette.
[10] Mitchell J. Nathan,et al. Expert Blind Spot Among Preservice Teachers , 2003 .
[11] Karen C. Fuson,et al. Achievement Results for Second and Third Graders Using the Standards-Based Curriculum Everyday Mathematics , 2000 .
[12] C. Atman,et al. How people learn. , 1985, Hospital topics.
[13] D. L. Fevre,et al. 9. DESIGNING FOR TEACHER LEARNING: VIDEO-BASED CURRICULUM DESIGN , 2003 .
[14] T. P. Carpenter,et al. Teachers' knowledge of students' knowledge in mathematics problem solving: correlational and case analyses , 1989 .
[15] C. Hirsch. Curriculum and Evaluation Standards for School Mathematics , 1988 .
[16] Ann Lieberman,et al. Creating Intentional Learning Communities. , 1996 .
[17] Mitchell J. Nathan,et al. The Real Story Behind Story Problems: Effects of Representations on Quantitative Reasoning , 2004 .
[18] J. Stigler,et al. The Teaching Gap: Best Ideas from the World's Teachers for Improving Education in the Classroom , 1999 .
[19] J. Fey,et al. Effects of Standards-Based Mathematics Education: A Study of the Core-plus Mathematics Project Algebra and Functions Strand , 2000 .
[20] Moving beyond Teachers' Intuitive Beliefs about Algebra Learning. , 2000 .
[21] M. MacGregor,et al. Ideas about Symbolism That Students Bring to Algebra , 1997 .
[22] Sharon J. Derry,et al. The STEP system for collaborative case-based teacher education: design, evaluation & future directions , 2002, CSCL.
[23] Kenneth R. Koedinger,et al. An Investigation of Teachers' Beliefs of Students' Algebra Development , 2000, Cognition and Instruction.
[24] Maher Z. Hashweh. Effects of science teachers' epistemological beliefs in teaching , 1996 .
[25] S. Loucks-Horsley. Designing Professional Development for Teachers of Science and Mathematics , 1997 .
[26] Jinfa Cai. Developing algebraic reasoning in the elementary grades , 1998 .
[27] James J. Kaput,et al. Algebra in the early grades , 2008 .
[28] E. Knuth. Student Understanding of the Cartesian Connection: An Exploratory Study , 2000 .
[29] L. Darling-Hammond,et al. Teaching for High Standards: What Policymakers Need To Know and Be Able To Do. CPRE Joint Report Series. , 1998 .
[30] Side by Side: Essays on Teaching to Learn , 1991 .
[31] Kenneth R. Koedinger,et al. Teachers' and Researchers' Beliefs about the Development of Algebraic Reasoning. , 2000 .
[32] Azita Manouchehri,et al. School Mathematics Reform: Implications for Mathematics Teacher Preparation , 1997 .
[33] J. Nespor. The Role of Beliefs in the Practice of Teaching. , 1987 .
[34] Deborah Loewenberg Ball,et al. Mathematical Proficiency for All Students: Toward a Strategic Research and Development Program in Mathematics Education , 2002 .
[35] T. P. Carpenter,et al. Thinking Mathematically : Integrating Arithmetic and Algebra in Elementary School , 2003 .
[36] Sharon J. Derry,et al. eSTEP AS A CASE OF THEORY-BASED WEB COURSE DESIGN , 2004 .
[37] B. Rittle-Johnson,et al. Conceptual and Procedural Knowledge of Mathematics : Does One Lead to the Other ? , 2004 .
[38] Gloria J. Ladson-Billings,et al. It Doesn't Add Up: African American Students' Mathematics Achievement. , 1997 .
[39] Cynthia W. Langrall,et al. Grade 6 Students' Preinstructional Use of Equations To Describe and Represent Problem Situations. , 2000 .
[40] Ralph T. Putnam,et al. What Do New Views of Knowledge and Thinking Have to Say About Research on Teacher Learning? , 2000 .
[41] Susan Kidd Villaume. The Necessity of Uncertainty: A Case Study of Language Arts Reform , 2000 .
[42] Sharon J. Derry,et al. Designing for Virtual Communities in the Service of Learning: From Ambitious Vision to Partially Satisfying Reality , 2004 .