A Research Base Supporting Long Term Algebra Reform

MF01/PCO2 Plus Postage. *Algebra; *Educational Change; Elementary Secondary Education; Integrated Curriculum; *Mathematics Instruction; Teaching Methods

[1]  Kpe Koeno Gravemeijer Educational Development and Developmental Research in Mathematics Education , 1994 .

[2]  Edgar W. Jenkins,et al.  Benchmarks for Science Literacy: a review symposium∗ , 1995 .

[3]  E. Paul Goldenberg,et al.  Mathematics, Metaphors, and Human Factors: Mathematical, Technical, and Pedagogical Challenges in the Educational Use of Graphical Representation of Functions , 1988 .

[4]  Alan H. Feldman,et al.  Collaborative Inquiry in Networked Communities: Lessons from the Alice Testbed. , 1994 .

[5]  Anna Sfard,et al.  The development of algebra: Confronting historical and psychological perspectives , 1995 .

[6]  D. Kuchemann,et al.  Stages in understanding algebra , 1984 .

[7]  Deborah Schifter Voicing the New Pedagogy: Teachers Write about Learning and Teaching Mathematics. Center for the Development of Teaching Paper Series. , 1994 .

[8]  C. Stasz,et al.  Tutoring Techniques in Algebra , 1990 .

[9]  James T. Sandefur,et al.  Discrete dynamical systems - theory and applications , 1990 .

[10]  Patrick W Thompson,et al.  Quantitative reasoning, complexity, and additive structures , 1993 .

[11]  T. P. Carpenter,et al.  Using Knowledge of Children’s Mathematics Thinking in Classroom Teaching: An Experimental Study , 1989 .

[12]  Janet Ainley Re-viewing Graphing: Traditional and Intuitive Approaches , 1995 .

[13]  Ricardo Nemirovsky On ways of symbolizing: The case of Laura and the velocity sign , 1994 .

[14]  Lange Jzn,et al.  Mathematics insight and meaning : teaching, learning and testing of mathematics for the life and social sciences , 1987 .

[15]  Ed Dubinsky,et al.  Development of the process conception of function , 1992 .

[16]  J. Confrey,et al.  Functions of a Curve : Leibniz's Original Notion of Functions and its Meaning for the Parabola , 1995 .

[17]  W. O. Storer,et al.  Discovery in mathematics: A text for teachers , 1980 .

[18]  James Taylor Fey Computing and mathematics : the impact on secondary school curricula : report of a conference , 1984 .

[19]  Liora Linchevski,et al.  Algebra with Numbers and Arithmetic with Letters: A Definition of Pre-algebra. , 1995 .

[20]  R. Devaney An Introduction to Chaotic Dynamical Systems , 1990 .

[21]  Uri Leron,et al.  Learning abstract algebra with ISETL , 1993 .

[22]  T. Dreyfus,et al.  Intuitions on Functions. , 1984 .

[23]  J. Confrey,et al.  Splitting, covariation, and their role in the development of exponential functions , 1995 .

[24]  A. Luchins,et al.  Variables and functions. , 1954, Psychology Review.

[25]  B. Latour,et al.  Laboratory Life: The Construction of Scientific Facts , 1979 .

[26]  Elizabeth Fennema,et al.  Cognitively Guided Instruction. , 1992 .

[27]  W. Feurzeig,et al.  Programming-languages as a conceptual framework for teaching mathematics , 1969, SCOU.

[28]  Jeremy Kilpatrick,et al.  Curriculum development in mathematics: Frontmatter , 1981 .

[29]  Karen C. Fuson Issues in place-value and multidigit addition and subtraction learning and teaching. , 1990 .

[30]  James J. Kaput,et al.  Information Technology and Mathematics: Opening New Representational Windows. , 1986 .

[31]  Michal Yerushalmy,et al.  Student perceptions of aspects of algebraic function using multiple representation software , 1991 .

[32]  Patrick W Thompson,et al.  Students, Functions, and the Undergraduate Curriculum † , 1994 .

[33]  Paul Cobb,et al.  Construction of Arithmetical Meanings and Strategies , 1987 .

[34]  Shlomo Vinner Concept definition, concept image and the notion of function , 1983 .

[35]  Anthony E. Kelly,et al.  Studies of Diagnosis and Remediation with High School Algebra Students , 1989, Cogn. Sci..

[36]  M. Kline Mathematical Thought from Ancient to Modern Times , 1972 .

[37]  Robert B. Davis Learning Mathematics: The Cognitive Science Approach to Mathematics Education , 1984 .

[38]  R. Tennant Algebra , 1941, Nature.

[39]  Mikhail V. Matz A process model for high school algebra errors , 1982 .

[40]  Elizabeth Phillips Patterns and Functions. Curriculum and Evaluation Standards for School Mathematics Addenda Series, Grades 5-8. , 1991 .

[41]  Margaret E. Smith Priorities for Research , 1982 .

[42]  Tommy Dreyfus,et al.  IMAGES AND DEFINITIONS FOR THE CONCEPT OF FUNCTION , 1989 .

[43]  David Slavit The Effect of Graphing Calculators on Students' Conceptions of Function. , 1994 .

[44]  H. Halberstam,et al.  THE HISTORICAL DEVELOPMENT OF THE CALCULUS , 1981 .

[45]  Derek H. Sleeman,et al.  An Attempt to Understand Students' Understanding of Basic Algebra , 1984, Cogn. Sci..

[46]  Elizabeth Johnson Teles Numerical and graphical presentation of functions in precalculus , 1992 .

[47]  H. Freudenthal Didactical Phenomenology of Mathematical Structures , 1983 .

[48]  James T. Sandefur Technology, Linear Equations, and Buying a Car , 1992 .

[49]  Helena M. Pycior,et al.  George Peacock and the British origins of symbolical algebra , 1981 .

[50]  A. Bell Purpose in School Algebra. , 1995 .

[51]  Wallace Feurzeig Algebra slaves and agents in a Logo-based mathematics curriculum , 1986 .

[52]  Salomon Bochner The Role of Mathematics in the Rise of Science , 1968 .

[53]  P. Cobb,et al.  Chapter 9: Classrooms as Learning Environments for Teachers and Researchers , 1990 .

[54]  C. Hirsch Curriculum and Evaluation Standards for School Mathematics , 1988 .

[55]  Elliot Soloway,et al.  Children Designers: Interdisciplinary Constructions for Learning and Knowing Mathematics in a Computer-Rich School , 1991 .