1 |
Ausubel, D. P. (1968). Educational psychology: A cognitive view. New York: Holt, Rinehart and Winston.
|
2 |
Brownell, W. A. (1935). Psychological considerations in the learning and the teaching of arithmetic. In W. D. Reeve (Ed.), The teaching of arithmetic, tenth yearbook (pp. 1-31). Reston, VA: National Council of Teachers of mathematics.
|
3 |
Bruner, J. S., & Kenney, H. J. (1965). Representation and mathematics learning. Society for Research in Child Development, 30(1), 50-59.
DOI
|
4 |
Copley, J. (1992). The integration of teacher education and technology: a constructivist model. In D. Carey, R. Carey, D. Willis, and J. Willis (Eds.), Technology and Teacher Education, 681. Charlottesville, VA: AACE.
|
5 |
Duffy, T. M. and Jonassen, D. H. (1992). Constructivism and the technology of instruction: A conversation. Hillsdale, NJ: Erlbaum.
|
6 |
Glasersfeld, E. von (1996). Aspects of radical constructivism and its educational recommendations. In L. P. Steffe, P. Nesher, P. Cobb, G. A. Goldin & B. Greer (Eds.), Theories of mathematical learning (pp. 307-314). New Jersey: Lawrence Erlbaum.
|
7 |
Kilpatrick, J. (2020). History of research in mathematics education. In S. Lerman (Ed.), Encyclopedia of mathematics education (pp. 267-272). New York, NY: Springer.
|
8 |
Konold, C. & Johnson, D. K. (1991). Philosophical and psychological aspects of constructivism. In L. P. Steffe (Ed.), Epistemological foundations of mathematical experience (pp. 1-13). New York, NY: Springer-Verlag.
|
9 |
National Council of Teachers of Mathematics (2000). Principle and standards for school mathematics. Reston, VA: Author
|
10 |
Ernest, P. (1991). The philosophy of mathematics education. London: The Falmer Press.
|
11 |
Ernest, P. (2021). What is the philosophy of mathematics education?. Retrieved from https://socialsciences.exeter.ac.uk/education/research/centres/stem/publications/pmej/pome18/PhoM_%for_ICME_04.htm.
|
12 |
Gagne, R. M. (1970). The conditions of learning (2nd Ed.). New York: Holt, Rinehart and Winston, Inc.
|
13 |
Glasersfeld, E. von (1984). Radical constructivism. In P. Watzlawick (Ed.), The invented reality, 17-40. Cambridge, MA: Harvard University Press.
|
14 |
강완, 김상미, 박만구, 백석윤, 오영열, 장혜원 (2014). 초등수학교육론. 서울: 경문사.
|
15 |
권낙원, 김민환, 한승록, 추광재 (2011). 교사를 위한 교육과정론. 서울: 공동체.
|
16 |
김경희 (2000). 게슈탈트 심리학. 서울: 학지사.
|
17 |
Brownell, W. A. (1945). When is arithmetic meaningful? Journal of Educational Research, 38, 481-498.
DOI
|
18 |
Adhikari, K. (2020). Ausubel's learning theory: Implications on Mathematics Teaching. Retrieved from https://www.researchgate.net/profile/Khagendra-Adhikari
|
19 |
Beth, E. W., & Piaget, J. (1966). Mathematical epistemology and psychology. Netherlands: D. Reidel Publishing Company.
|
20 |
Birdwell, J. K., & Clason, R. G. (1970). Comment In J. K. Birdwell & R. G. Clason (Eds.), Reading in the History of Mathematics Education (pp. 361-362). Washington, D. C.: National Council of Teachers of Mathematics.
|
21 |
Bruner, J. S. (1960). The Process of Education. Cambridge, MA: Harvard University Press.
|
22 |
Bruner, J. S. (1966). Toward a theory of instruction. Cambridge, MA: Harvard University Press.
|
23 |
Cobb, P. (1988). The tension between theories of learning and instruction in mathematics education. Educational Psychologist, 23(2), 87-103.
DOI
|
24 |
Dienes, Z. P. (1960). Building up mathematics. London: Hutchinson.
|
25 |
Duffy, T. M. and Jonassen, D. H. (1991). New implications for instructional technology?. Educational Technology, 31(3), 7-12.
|
26 |
Eisner, E. W. (1979). The educational imagination. New York, NY: Macmillan Publishing Co., Inc.
|
27 |
English, L. D., & Halford, G. S. (1995). Mathematics education: Models and processes. Mahawah, NJ: Lawrence Erlbaum Associates.
|
28 |
Ernest, P. (1998). Social constructivism as a philosophy of mathematics. New York, NY: State University of New York Press.
|
29 |
Freudenthal, H. (1973). Mathematics as an educational task. Dordrecht: Reidel Publishing Company.
|
30 |
Ernest, P. (2018). 수학학습심리학 (박성선 역). 서울: 경문사. (원저 2011년 출판).
|
31 |
Glasersfeld, E. von (1995). Radical constructivism: A way of Knowing and Learning. London: The Falmer Press.
|
32 |
Gagne, R. M. (1985). The conditions of learning and theory of instruction (4rd ed.). New York: Holt, Rinehart and Winston, Inc.
|
33 |
Ginsberg, H., & Opper, S. (2006). 피아제의 인지발달이론 (김정민 역). 서울: 학지사. (원저 1969년 출판).
|
34 |
Glasersfeld E. von (1989). Constructivism in education. In T. Husen & N. Postlethwaite (Eds.), International Encyclopedia of Education (pp. 162-163). Oxford: Pergamon.
|
35 |
Freudenthal, H. (1991) Revisiting mathematics education. Dordrecht: Kluwer Academic Publishers.
|
36 |
Kneller, G. F. (1971). Introduction to the philosophy of education(2nd ed.). New York: John Wiley & Sons.
|
37 |
Graven, M., & Hedy-Metzuyanim, E. (2019). Mathematics identity research: the state of the art and future directions. ZDM: The International Journal on Mathematics Education 51(3), 361-377.
DOI
|
38 |
Jonassen, D. H. (1991). Objectivism versus constructivism: do we need a new philosophical paradigm?. Journal of Educational Research, 39(3), 5-14.
|
39 |
Kline, M. (1973). Why J ohnny can't add: The failure of the New Math. New York, NY: St. Martin's Press.
|
40 |
Lambdin, D. V., & Walcott, C. (2007). Changes through the years. In W. G. Martin, & M. E. Strutchens, & P. C. Elliott (Eds.), The learning of mathematics, sixty-ninth yearbook (pp. 3-26). Reston, VA: National Council of Teachers of mathematics.
|
41 |
National Council of Teachers of Mathematics (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: Author.
|
42 |
Novak, J. D. (2011). A theory of education: meaningful learning underlies the constructive integration of thinking, feeling, and acting leading to empowerment for commitment and responsibility. Aprendizagem Significativa em Revista/Meaningful Learning Review 1(2), 1-14.
|
43 |
Omstein, A. C., & Hunkins, F. P. (2004). Curriculum: Foundations, principle, and issues(4th ed.). Boston: Allyn and Bacon.
|
44 |
Richey, R. C. (1986). The theoretical and conceptual bases of instructional design. London: Kogan Page, Ltd.
|
45 |
Richey, R. C. (1993). Instructional design theory and a changing field. Educational Technology, 33(2), 16-21.
|
46 |
Runes, D. D. (1962). Dictionary of philosophy (15th ed.), Paterson, NJ: Littlefield, Adams & Co.
|
47 |
Richey, R. C., Klein, J. D. & Tracey, M. W. (2011). The instructional design knowledge base. New York, NY: Routledge.
|
48 |
Wheeler, R. H. (1935). The new psychology of learning. In W. D. Reeve (Ed.), The teaching of arithmetic, tenth yearbook (pp. 233-250). Reston, VA: National Council of Teachers of mathematics.
|
49 |
Rogoff, B. (1990). Apprenticeship in thinking: cognitive development in social context. New York: Oxford University Press.
|
50 |
Saettler, P. (1998). Antecedents, Origins, and theoretical evolution of AECT. Techtrends, 43(1), 51-57.
DOI
|
51 |
Schoenfeld, A. H. (2004). The math wars. Educational Policy, 18(1), 253-286.
DOI
|
52 |
Tam, M. (2000). Constructivism, instructional design, and technology: Implications for transforming distance learning. Educational Technology & Society, 3(2), 50-60.
|
53 |
Thorndike, E. L. (1922). The psychology of arithmetic. New York, NY: MacMillan.
|
54 |
Treffers, A. (1987) Three dimensions. A model of goal and theory description in mathematics instruction-The Wiskobas project. D. Dordrecht: Reidel Publishing Company. (Original work published in 1978).
|
55 |
Van den Heuvel-Panhuizen, M., Drijvers, P. (2014). Encyclopedia of mathematics education. In S. Lerman (Ed.), Realistic mathematics education (pp. 521-525). Dordrecht: Springer.
|
56 |
Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes. Cambridge, MA: Harvard University Press.
|
57 |
Vygotsky, L. S. (1986). Thought and Language. Massachusetts: MIT Press. (Original work published in 1934).
|
58 |
Van Engen, H. (1949). Analysis of meaning in arithmetic, The Elementary School Journal. 49(7), 395-400.
DOI
|
59 |
Wertheimer, M. (1922). Untersuchungen zur Lehre von der Gestalt, I: Prinzipielle Bemerkungen. Psycologische Forschung 1, 47-58.
DOI
|
60 |
Wertheimer, M. (1945). Productive thinking. New York: Harper.
|