Designing and implementing authentic investigative proportional reasoning tasks: The impact on pre-service mathematics teachers' content and pedagogical knowledge and attitudes

Journal of Mathematics Teacher Education

Volumn 10, Issue 4-6, 2007, Pages 333-340

  Ben Chaim, David ^a   Keret, Yaffa ^b   Ilany, Bat Sheva ^c  

^a UNIVERSITY OF HAIFA   (Israel)

^b WEIZMANN INSTITUTE OF SCIENCE   (Israel)

^c BEIT BERL COLLEGE   (Israel)

Author keywords

Authentic investigative tasks; Pre service mathematics teachers; Proportional reasoning; Ratio and proportion

Indexed keywords

EID: 37349054230     PISSN: 13864416     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10857-007-9052-x     Document Type: Article

References (17)

1. Ben-Chaim, D., Fay, J. T., Fitzgerald, M. W., Benedetto, C., & Miller, J. (1998). Proportional reasoning among 7 th grade students with different curricular experience. Educational Studies in Mathematics, 36, 247-273.
2. Ben-Chaim, D., Ilany, B., & Keret, Y. (2002). Mathematical and pedagogical knowledge of pre- and in-service elementary teachers, before and after experience in proportional reasoning activities. Proceedings of the 26 th conference of the international group for the psychology of mathematics education, Norwich, UK, Vol. 2, 81-88.
3. De Bock, D., Verschaffel, L., & Janssens, D. (1998). The predominance of the Linear Model in secondary school students' solutions of word problems involving length and area of similar plane figures. Educational Studies in Mathematics, 35, 65-83.
4. Freudenthal, H. (1983). Didactical phenomenology of mathematical structures. Dordrecht: Reidel.
5. Harel G., & Confrey J. (Eds.) (1994). The development of multiplicative reasoning in the learning of mathematics. Albany, NY: SUNY Press.
6. Heath, T. (1981). A history of Greek mathematics. Vol. 1: From Thales to Euclid. New-York: Dover Publications, Inc.
7. Ilany, B., Ben-Chaim, D., & Keret, Y. (2004). Implementation of a model using authentic investigative activities for teaching ratio and proportion in pre-service elementary education. Proceedings of the 28 th conference of the international group for the psychology of mathematics education, Bergen, Norway, Vol. 3, 81-88.
8. Keret, Y., Ben-Chaim, D., & Ilany, B. (2003). A model using authentic investigative activities for teaching ratio and proportion in pre-service elementary education. Proceedings of SEMT '03 - international symposium elementary maths teaching, Prague, Czech Republic, 94-99.
9. Lappan, G., Fey, J. T., Fitzgerald, W. M., Friel, S. N., & Phillips, E. (1977). Comparing and scaling. Palo Alto, CA: Dale Seymour Publishing Co.
10. Loucks-Horsley, S., Hewston, P., Love, N., & Stiles, K. (1998). Designing professional development for teachers of science and mathematics. Thousands Oaks, CA: Corwin Press.
11. National Council of Teachers of Mathematics (1989). Curriculum and evaluation, standards for school mathematics. Reston, VA: The Council.
12. National Council of Teachers of Mathematics (2000). Principles and standards for school mathematics. Reston, VA: The Council.
13. Post, T. R., Behr, M. J., & Lesh, R. (1988). Proportionality and the development of prealgebra understanding. In A. Coxford, & A. Schute (Eds.), The ideas of algebra, K-12, 1988 yearbook of the national council of teachers of mathematics (pp. 78-90). Reston, VA: The Council.
14. Sowder, J., Armstrong, B., Lamon, S., Simon, M., Soweder, L., & Tompson, A. (1998). Educating teachers to teach multiplicative structures in the middle grades. Journal of Mathematics Teacher Education, 1, 127-155.
15. Stern A. (Ed.) (1992). The new encyclopedia of archaeological excavations in the Holy Land. Jerusalem: Israel Exploration Society & Carta, p. 202.
16. Tourniaire, F., & Pulos, S. (1985). Proportional reasoning: A review of the literature. Educational Studies in Mathematics, 16, 181-204.
17. Tracy, D., & Hague, M. (1997). Toys 'r' math. Mathematics Teaching in the Middle School, 2(3), 140-145.