-
1
-
-
0000483919
-
Development of the process conception of function
-
Breidenbach, D., Dubinsky, E., Hawks, J., & Nichols, D. (1992). Development of the process conception of function, Educational Studies in Mathematics, 23, 247-285.
-
(1992)
Educational Studies in Mathematics
, vol.23
, pp. 247-285
-
-
Breidenbach, D.1
Dubinsky, E.2
Hawks, J.3
Nichols, D.4
-
2
-
-
4544286361
-
A cross-sectional investigation of the development of the function concept
-
E. Dubinsky, A.H. Schoenfeld, & J.J. Kaput (Eds.)
-
Carlson, M. (1998). A cross-sectional investigation of the development of the function concept. In E. Dubinsky, A.H. Schoenfeld, & J.J. Kaput (Eds.), Research in collegiate mathematics education, III. Issues in Mathematics Education, 7, 125-162.
-
(1998)
Research in collegiate mathematics education, III. Issues in Mathematics Education
, vol.7
, pp. 125-162
-
-
Carlson, M.1
-
3
-
-
0012004678
-
Integrating a models and modeling perspective with existing research and practice
-
in press: In R. Lesh & H. Doerr (Eds.). Hillsdale, NJ: Lawrence Erlbaum Associates
-
Carlson, M., & Larsen, S. (in press). Integrating a models and modeling perspective with existing research and practice: In R. Lesh & H. Doerr (Eds.), Beyond constructivism in mathematics teaching and learning: A models & modeling perspective. Hillsdale, NJ: Lawrence Erlbaum Associates.
-
Beyond constructivism in mathematics teaching and learning: A models & modeling perspective
-
-
Carlson, M.1
Larsen, S.2
-
4
-
-
37349127663
-
An investigation of covariational reasoning and its role in learning the concepts of limit and accumulation
-
R. Speiser, C. Maher, & C. Walter (Eds.), Snowbird, UT: PME-NA
-
Carlson, M., Larsen, S., & Jacobs, S. (2001). An investigation of covariational reasoning and its role in learning the concepts of limit and accumulation. In R. Speiser, C. Maher, & C. Walter (Eds.) Proceedings of the 23rd Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Vol. 1, pp.145-153, Snowbird, UT: PME-NA.
-
(2001)
Proceedings of the 23rd Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education
, vol.1
, pp. 145-153
-
-
Carlson, M.1
Larsen, S.2
Jacobs, S.3
-
6
-
-
0001313746
-
Teachers' thinking about functions: Historical and research perspectives
-
T.A. Romberg, E. Fennema, & T.P. Carpenter (Eds.). Hillsdale, NJ: Lawrence Erlbaum Associates
-
Cooney, T., & Wilson, M. (1993). Teachers' thinking about functions: Historical and research perspectives. In T.A. Romberg, E. Fennema, & T.P. Carpenter (Eds.), Integrating research on the graphical representation of functions (pp. 131-158). Hillsdale, NJ: Lawrence Erlbaum Associates.
-
(1993)
Integrating research on the graphical representation of functions
, pp. 131-158
-
-
Cooney, T.1
Wilson, M.2
-
7
-
-
0000028397
-
Exponential functions, rates of change, and the multiplicative unit
-
Confrey, J., & Smith, E. (1994). Exponential functions, rates of change, and the multiplicative unit. Educational Studies in Mathematics, 26, 135-164.
-
(1994)
Educational Studies in Mathematics
, vol.26
, pp. 135-164
-
-
Confrey, J.1
Smith, E.2
-
8
-
-
21844504051
-
Splitting, covariation, and their role in the development of exponential functions
-
Confrey, J., & Smith, E. (1995). Splitting, covariation, and their role in the development of exponential functions. Journal for Research in Mathematics Education, 26, 66-86.
-
(1995)
Journal for Research in Mathematics Education
, vol.26
, pp. 66-86
-
-
Confrey, J.1
Smith, E.2
-
9
-
-
0343046137
-
Understanding the limit concept: Beginning with a coordinated process schema
-
Cottrill, J., Dubinsky, E., Nichols, D., Schwingendorf, K., Thomas, K. and Vidakovic, D. (1996). Understanding the limit concept: Beginning with a coordinated process schema. Journal of Mathematical Behavior, 15, 167-192.
-
(1996)
Journal of Mathematical Behavior
, vol.15
, pp. 167-192
-
-
Cottrill, J.1
Dubinsky, E.2
Nichols, D.3
Schwingendorf, K.4
Thomas, K.5
Vidakovic, D.6
-
10
-
-
84867385934
-
Relational and functional thinking in mathematics
-
New York: Bureau of Publications, Teachers College, Columbia University
-
Hamley, H.R. (1934). Relational and functional thinking in mathematics. Ninth Yearbook of the National Council of Teachers of Mathematics. New York: Bureau of Publications, Teachers College, Columbia University.
-
(1934)
Ninth Yearbook of the National Council of Teachers of Mathematics
-
-
Hamley, H.R.1
-
11
-
-
0011991957
-
Patterns in students' formalization of quantitative patterns
-
G. Harel & E. Dubinsky (Eds.). Washington, DC: Mathematical Association of America
-
Kaput, J.J. (1992). Patterns in students' formalization of quantitative patterns. In G. Harel & E. Dubinsky (Eds.), The Concept of Function: Aspects of Epistemology and Pedagogy, MAA Notes, Vol. 25 (pp. 290-318). Washington, DC: Mathematical Association of America.
-
(1992)
The Concept of Function: Aspects of Epistemology and Pedagogy, MAA Notes
, vol.25
, pp. 290-318
-
-
Kaput, J.J.1
-
12
-
-
0002031441
-
Democratizing access to calculus: New routes to old roots
-
A.H. Schoenfeld (Ed.). Washington, DC: Mathematical Association of America
-
Kaput, J.J. (1994). Democratizing access to calculus: New routes to old roots. In A.H. Schoenfeld (Ed.), Mathematics and cognitive science (pp. 77-156). Washington, DC: Mathematical Association of America.
-
(1994)
Mathematics and cognitive science
, pp. 77-156
-
-
Kaput, J.J.1
-
13
-
-
0011964680
-
Über den allgemeinen functionbegriff und dessen darstellung dutch eine willknerliche Curve
-
Klein, F. (1883). Über den allgemeinen Functionbegriff und dessen Darstellung dutch eine willknerliche Curve. Mathematischen Annalen, 22, 249.
-
(1883)
Mathematischen Annalen
, vol.22
, pp. 249
-
-
Klein, F.1
-
14
-
-
0000507908
-
Students' understanding of a function given by a physical model
-
G. Harel & E. Dubinsky (Eds.). Washington, DC: Mathematical Association of America
-
Monk, S. (1992). Students' understanding of a function given by a physical model. In G. Harel & E. Dubinsky (Eds.), The concept of function: Aspects of epistemology and pedagogy, MAA Notes, Vol. 25 (pp. 175-193). Washington, DC: Mathematical Association of America.
-
(1992)
The concept of function: Aspects of epistemology and pedagogy, MAA Notes
, vol.25
, pp. 175-193
-
-
Monk, S.1
-
15
-
-
0008796316
-
The case of Dan: Student construction of a functional situation through visual attributes
-
Monk, S., & Nemirovsky, R. (1994). The case of Dan: Student construction of a functional situation through visual attributes. CBMS Issues in Mathematics Education, 4, 139-168.
-
(1994)
CBMS Issues in Mathematics Education
, vol.4
, pp. 139-168
-
-
Monk, S.1
Nemirovsky, R.2
-
18
-
-
0003608696
-
-
Washington, DC: National Academy Press
-
National Research Council. (1996). National Science Education Standards. Washington, DC: National Academy Press.
-
(1996)
National Science Education Standards
-
-
-
19
-
-
0012012690
-
A functional approach to algebra: Two issues that emerge
-
N. Dedrarg, C. Kieran, & L. Lee (Eds.) Boston: Kluwer Academic Publishers
-
Nemirovsky, R. (1996). A functional approach to algebra: Two issues that emerge. In N. Dedrarg, C. Kieran, & L. Lee (Eds.), Approaches to algebra: Perspectives for research and teaching (pp. 295-313). Boston: Kluwer Academic Publishers.
-
(1996)
Approaches to algebra: Perspectives for research and teaching
, pp. 295-313
-
-
Nemirovsky, R.1
-
20
-
-
0001324818
-
Piaget's theory
-
G. Cellerier & J. Langer, Trans. In Paul Mussen (Ed.) New York: Wiley
-
Piaget, J. (1970). Piaget's theory (G. Cellerier & J. Langer, Trans.). In Paul Mussen (Ed.), Carmichael's manual of child psychology (3rd ed., Vol. 1, pp. 703-732). New York: Wiley.
-
(1970)
Carmichael's manual of child psychology 3rd ed.
, vol.1
, pp. 703-732
-
-
Piaget, J.1
-
21
-
-
85010255524
-
-
J. Castellanos & V. Anderson, Trans. Dordrecht, The Netherlands: Reidel
-
Piaget, J., Grize, J.-B., Szeminska, A., & Bang, V. (1977). Epistemology and psychology of functions (J. Castellanos & V. Anderson, Trans.; pp. 84-97). Dordrecht, The Netherlands: Reidel.
-
(1977)
Epistemology and psychology of functions
, pp. 84-97
-
-
Piaget, J.1
Grize, J.-B.2
Szeminska, A.3
Bang, V.4
-
22
-
-
0002893760
-
New directions in differential equations: A framework for interpreting students' understandings and difficulties
-
Rasmussen, C. (2000). New directions in differential equations: A framework for interpreting students' understandings and difficulties. Journal of Mathematical Behavior, 20, 55-87.
-
(2000)
Journal of Mathematical Behavior
, vol.20
, pp. 55-87
-
-
Rasmussen, C.1
-
23
-
-
0001423807
-
Re-thinking co-variation from a quantitative perspective: Simultaneous continuous variation
-
S.B. Berensen, K.R. Dawkins, M. Blanton, W.N. Coulombe, J. Kolb, K. Norwood, & L. Stiff (Eds.). Columbus, OH: ERIC Clearinghouse for Science, Mathematics, and Environmental Education
-
Saldanha, L., & Thompson, P.W. (1998). Re-thinking co-variation from a quantitative perspective: Simultaneous continuous variation. In S.B. Berensen, K.R. Dawkins, M. Blanton, W.N. Coulombe, J. Kolb, K. Norwood, & L. Stiff (Eds.), Proceedings of the 20th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 298-303). Columbus, OH: ERIC Clearinghouse for Science, Mathematics, and Environmental Education.
-
(1998)
Proceedings of the 20th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education
, vol.1
, pp. 298-303
-
-
Saldanha, L.1
Thompson, P.W.2
-
24
-
-
0002447711
-
Operational origins of mathematical objects and the quandary of reification - The case of function
-
G. Harel & E. Dubinsky (Eds.) Washington, DC: Mathematical Association of America
-
Sfard, A. (1992). Operational origins of mathematical objects and the quandary of reification - The case of function. In G. Harel & E. Dubinsky (Eds.), The concept of function: Aspects of epistemology and pedagogy, MAA Notes, Vol. 25 (pp. 59-84). Washington, DC: Mathematical Association of America.
-
(1992)
The concept of function: Aspects of epistemology and pedagogy, MAA Notes
, vol.25
, pp. 59-84
-
-
Sfard, A.1
-
25
-
-
0002335783
-
On understanding the notion of function
-
G. Harel & E. Dubinsky (Eds.) Washington, DC: Mathematical Association of America
-
Sierpinska, A. (1992). On understanding the notion of function. In G. Harel & E. Dubinsky (Eds.), The concept of function: Aspects of epistemology and pedagogy, MAA Notes, Vol. 25 (pp. 59-84). Washington, DC: Mathematical Association of America.
-
(1992)
The concept of function: Aspects of epistemology and pedagogy, MAA Notes
, vol.25
, pp. 59-84
-
-
Sierpinska, A.1
-
26
-
-
0000092319
-
Beyond inductive and deductive reasoning: The search for a sense of knowing
-
Simon, M.A. (1996). Beyond inductive and deductive reasoning: The search for a sense of knowing. Educational Studies in Mathematics, 30, 197-210.
-
(1996)
Educational Studies in Mathematics
, vol.30
, pp. 197-210
-
-
Simon, M.A.1
-
27
-
-
0002038327
-
The transition to advanced mathematical thinking: Function, limits, infinity, and proof
-
D.A. Grouws (Ed.). New York: MacMillan Publishing Company
-
Tall, D. (1992). The transition to advanced mathematical thinking: Function, limits, infinity, and proof. In D.A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 495-511). New York: MacMillan Publishing Company.
-
(1992)
Handbook of research on mathematics teaching and learning
, pp. 495-511
-
-
Tall, D.1
-
28
-
-
0000019871
-
Images of rate and operational understanding of the fundamental theorem of calculus
-
Thompson, P.W. (1994a). Images of rate and operational understanding of the fundamental theorem of calculus. Educational Studies in Mathematics, 26, 229-274.
-
(1994)
Educational Studies in Mathematics
, vol.26
, pp. 229-274
-
-
Thompson, P.W.1
-
29
-
-
0003130954
-
Students, functions, and the undergraduate curriculum
-
E. Dubinsky, A.H. Schoenfeld, & J.J. Kaput (Eds.). Providence, RI: American Mathematical Society
-
Thompson, P.W. (1994b). Students, functions, and the undergraduate curriculum. In E. Dubinsky, A.H. Schoenfeld, & J.J. Kaput (Eds.), Research in Collegiate Mathematics Education, I: Issues in Mathematics Education, (Vol. 4, pp. 21-44). Providence, RI: American Mathematical Society.
-
(1994)
Research in Collegiate Mathematics Education, I: Issues in Mathematics Education
, vol.4
, pp. 21-44
-
-
Thompson, P.W.1
-
30
-
-
0002269268
-
The development of the concept of speed and its relationship to concepts of rate
-
G. Harel & J. Confrey (Eds.). Albany, NY: State University of New York Press
-
Thompson, P.W. (1994c). The development of the concept of speed and its relationship to concepts of rate. In G. Harel & J. Confrey (Eds.), The development of multiplicative reasoning in the learning of mathematics (pp. 179-234). Albany, NY: State University of New York Press.
-
(1994)
The development of multiplicative reasoning in the learning of mathematics
, pp. 179-234
-
-
Thompson, P.W.1
-
31
-
-
85085463632
-
Algebra: What should we teach and how should we teach it?
-
S. Wagner & C. Kieran (Eds.). Reston, VA: National Council of Teachers of Mathematics
-
Thorpe, J.A. (1989). Algebra: What should we teach and how should we teach it? In S. Wagner & C. Kieran (Eds.), Research issues in the learning and teaching of algebra (pp. 11-24). Reston, VA: National Council of Teachers of Mathematics.
-
(1989)
Research issues in the learning and teaching of algebra
, pp. 11-24
-
-
Thorpe, J.A.1
-
32
-
-
0011938298
-
The pseudo-conceptual and the pseudo-analytical thought processes in mathematics learning
-
Vinner, S. (1997). The pseudo-conceptual and the pseudo-analytical thought processes in mathematics learning. Educational Studies in Mathematics, 34, 97-129.
-
(1997)
Educational Studies in Mathematics
, vol.34
, pp. 97-129
-
-
Vinner, S.1
-
33
-
-
0001188752
-
Images and definitions for the concept of function
-
Vinner, S., & Dreyfus, T. (1989). Images and definitions for the concept of function, Journal for Research in Mathematics Education, 20, 356-366.
-
(1989)
Journal for Research in Mathematics Education
, vol.20
, pp. 356-366
-
-
Vinner, S.1
Dreyfus, T.2
-
34
-
-
0000039692
-
A theoretical framework for analyzing student understanding of the concept of derivative
-
E. Dubinsky, A. Schoenfeld, & J. Kaput (Eds.). Providence, RI: American Mathematical Society
-
Zandieh, M. (2000). A theoretical framework for analyzing student understanding of the concept of derivative. In E. Dubinsky, A. Schoenfeld, & J. Kaput (Eds.), Research in collegiate mathematics education, IV (Vol. 8, pp. 103-127). Providence, RI: American Mathematical Society.
-
(2000)
Research in collegiate mathematics education, IV
, vol.8
, pp. 103-127
-
-
Zandieh, M.1
|