B) Βιβλιογραφικές Αναφορές:
Adoniou, M. & Qing, Y. (2014). Language, mathematics and English language learners. The Australian Mathematics Teacher, 70(3), 3-13.
Arbaugh, F., & Brown, C. A. (2006). Analyzing mathematical tasks: A catalyst for change? Journal of Mathematics Teacher Education, 8(6), 499-536
Arbaugh, F., & Brown, C. A. (2004). What makes a mathematical task worthwhile? Designing a learning tool for high school mathematics teachers. In R. N. Rubenstein & G. W. Bright (Eds.), Perspectives on the teaching of mathematics: Sixty–sixth yearbook (pp. 27-41). Reston, VA: NCTM.
Boston, M. D., & Smith, M. S. (2009). Transforming secondary mathematics teaching: increasing the cognitive demands of instructional tasks used in teachers’ classrooms. Journal of Research in Mathematics Education, 40(2), 119-156.
Boston, M. D., & Smith, M. S. (2011). A ‘task-centric approach’ to professional development: enhancing and sustaining mathematics teachers’ ability to implement cognitively challenging mathematical tasks. ZDM, 43(6-7), 965-977.
Cathcart, W., Pothier, Y., Vance, J. & Bezuk, N. (2000). Learning Mathematics in Elementary and Middle Schools. United States: Merrill Prentice Hall.
Cengiz, N., Kline, K. & Grant, T. J. (2011). Extending students’ mathematical thinking during whole-group discussions. Journal of Mathematics Teacher Education, 14(5), 355-374.
Chapin, S. H., O’Connor, C., & Anderson, N. C. (2009). Classroom discussions: Using math talk to help students learn (2nd ed.). Sausalito, CA: Math Solutions.
Chi, M. T. (2009). Active‐constructive‐interactive: A conceptual framework for differentiating learning activities. Topics in Cognitive Science, 1(1), 73-105.
Cobb, P., Wood, T., Yackel, E., & McNeal, B. (1992). Characteristics of classroom mathematics traditions: An interactional analysis. American Educational Research Journal, 29, 573-604.
Dekker, R. (1987). Roos and José, two children in a mixed ability group. Educational Studies in Mathematics, 18, 317-324.
Delaney, S. 2017, Become the Primary Teacher Everyone Wants to Have, Routledge, Milton Park, Oxon.
Diezmann, C. M., & Watters, J. J. (2000). Catering for mathematically gifted elementary students: Learning from challenging tasks. Gifted Child Today, 23(4), 14-52.
Dooley, T. (2009). A teacher's role in whole-class mathematical discussion: Facilitator of performance etiquette? In V. Durand-Guerrier, S. Souryn Lavergne and F. Arzarello (Eds.), 6th Congress of the European Society for Research in Mathematics Education (CERME) (pp. 894 - 903). Lyon, France: INRP.
Doyle, W. (1988). Work in Mathematics Classes: The Context of Students’ Thinking During Instruction. Educational Psychologist, 23(2), 167 – 180.
González, G. & Eli, J. A. (2017). Prospective and in-service teachers’ perspectives about launching a problem. Journal of Mathematics Teacher Education, 20(2), 159–201.
Güven, N. D., & Dede, Y. (2017). Examining social and sociomathematical norms in different classroom microcultures: Mathematics teacher education perspective. Educational Sciences: Theory & Practice, 17, 265–292.
Henningsen, M., & Stein, M. K. (1997). Mathematical tasks and student cognition: Classroom-based factors that support and inhibit high-level mathematical thinking and reasoning. Journal for research in mathematics education, 524-549.
Herbst, P. G. (2003). Using novel tasks in teaching mathematics: Three tensions affecting the work of the teacher. American Educational Research Journal, 40(1), 197-238.
Homans, G. (1951). The Human Group. London, UK: Routledge.
Kersaint, G. L. A. D. I. S. (2015). Orchestrating mathematical discourse to enhance student learning. Curriculum Associates, LLC.
Laborde, C. (2001). Integration of technology in the design of geometry tasks with Cabri-Geometry. International Journal of Computers for Mathematical Learning, 6(3), 283-317.
Lampert, M (2001). Teaching problems and the problems of teaching. New Haven: Yale University Press.
Lozano, M. (2017). Investigating task design, classroom culture and mathematics learning: an enactivist approach, ZDM: Mathematics Education, 49 (6), 895-907.
Mariotti, M. A. (2012). Proof and proving in the classroom: Dynamic Geometry Systems as tools of semiotic mediation. Research in Mathematics Education, 14(2), 163-185.
Mason, J. 2002, Minding Your Qs and Rs: effective questioning and responding in the mathematics classroom, in L. Haggerty (Ed.) Aspects of Teaching Secondary Mathematics: perspectives on practice, RoutledgeFalmer, London, p248-258. ISBN 0-415-26081-7
O'Brien, T., & Guiney, D. (2001). Differentiation in teaching and learning. A&C Black.
Pasquale, M. (2016). Productive Struggle in Mathematics. Interactive STEM Research+ Practice Brief. Education Development Center, Inc. Retrieved from http://interactivestem.org/wp-content/uploads/2015/08/EDC-RPC-Brief-Productive-Struggle.pdf
Ponte, J. P., & Quaresma, M. (2016). Teachers’ professional practice conducting mathematical discussions. Educational Studies in Mathematics, 93(1), 51-66.
Rowland, T., Huckstep, P., & Thwaites, A. (2005). Elementary teachers’ mathematics subject knowledge: the knowledge quartet and the case of Naomi, Journal of Mathematics Teacher Education 8(3), 225-281.
Sherin, M. G. (2002). A balancing act: Developing a discourse community in a mathematics classroom. Journal of Mathematics Teacher Education, 5, 205–233.
Smith, M. S., Hughes, E. K., Engle, R. A., & Stein, M. K. (2009). Orchestrating discussions of challenging tasks: Keeping your eye on the mathematics to be learned. Mathematics Teaching in the Middle School, 14(9), 548-556.
Smith, M. S., Stein, M. K., Arbaugh, F., Brown, C. A., & Mossgrove, J. (2004). Characterizing the cognitive demands of mathematical tasks: A task-sorting activity. In G. W. Bright & R. N. Rubenstein (Eds.), Professional development guidebook for perspectives on the teaching of mathematics: Companion to the sixty–sixth yearbook (pp. 45-72). Reston, VA: NCTM.
Star, J. R. (2015, April). When not to persevere – Nuances related to perseverance in mathematical problem solving (White paper). Chicago, IL: Spencer Foundation. Retrieved from http://hub.mspnet.org/index.cfm/28127/
Stein, M. K., & Smith, M. S. (1998). Mathematical tasks as a framework for reflection: From research to practice. Mathematics Teaching in the Middle School, 3(4), 268-275.
Stein, M. K., Engle, R. A., Smith, M. S.& Hughes, E. K. (2008). Orchestrating productive mathematical discussions: Five practices for helping teachers move beyond show and tell. Mathematical Thinking and Learning, 10(4), 313-340.
Stein, M. K., Grover, B. W., & Henningsen, M. (1996). Building student capacity for mathematical thinking and reasoning: An analysis of mathematical tasks used in reform classrooms. American educational research journal, 33(2), 455-488.
Stein, M. K., Remillard, J., & Smith, M. S. (2007). How curriculum influences student learning. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 319-369). Charlotte, NC: Information Age Publishing.
Stein, M. K., Smith, M. S., Henningsen, M. A., & Silver, E. A. (2016). Implementing Standards-Based Math Instruction: A Casebook for Professional Development. Τόπος: Teachers College Press.
Stein, M., Carnine, D. & Silbert, G. 1997, Designing Effective Mathematics Instruction: A Direct
Stigler, J.W., & Hiebert, J. (1999). The teaching gap: Best ideas from the world’s teachers for improving education in the classroom. New York: The Free Press.
Sullivan, P., Askew, M., Cheeseman, J., Clarke, D., Mornane, A., Roche, A., & Walker, N. (2015). Supporting teachers in structuring mathematics lessons involving challenging tasks. Journal of Mathematics Teacher Education, 18(2), 123-140.
Sullivan, P., Mousley, J., & Zevenbergen, R. (2006). Teacher actions to maximize mathematics learning opportunities in heterogeneous classrooms. International Journal of Science and Mathematics Education, 4, 117-143.
Tomlinson, C. A. (2014). The differentiated classroom: Responding to the needs of all learners (2nd ed.). VA: Association for Supervision and Curriculum Development.
Tomlinson, C. A. (2017). How to differentiate instruction in mixed-ability classrooms (3rd ed.) Alexandria, VA: Association for Supervision and Curriculum Development.
Van den Heuvel-Panhuizen, M. (2000). Mathematics education in the Netherlands: A guided tour. Freudenthal Institute Cd-rom for ICME9. Utrecht: Utrecht University.
Wallace, A., White, M. & Stone, R. 2010, “Sand and Water Table Play”, Teaching Children Mathematics, vol. 16, no. 7, pp. 394 – 400.
Way, J. (2008). Using questioning to stimulate mathematical thinking. Australian primary mathematics classroom, 13(3), 22-27.
Williams, E. & Shuard, H. ((1994). Primary Mathematics Today. United Kingdom: Longman.
Yackel, E. & Cobb, P. (1996). Sociomathematical Norms, Argumentation, and Autonomy in Mathematics. Journal for Research in Mathematics Education, 27 (4), 458- 477.