Examining preservice teachers’ noticing of equity-based teaching practices to empower students engaging in productive struggle
Tài liệu tham khảo
Aguirre, 2013, Making culturally responsive mathematics teaching explicit: A lesson analysis tool, Pedagogies: An International Journal, 8, 163, 10.1080/1554480X.2013.768518
Aguirre, J.M., Mayfield-Ingram, K., & Martin, D. , (2013a). The impact of identity in K-8 mathematics learning and teaching: Rethinking equity-based practices. NCTM.
Aguirre, 2013, Making connections in practice: How prospective elementary teachers connect to children’s mathematical thinking and community funds of knowledge in mathematics instruction, Journal of Teacher Education, 64, 178, 10.1177/0022487112466900
Amador, 2020, Video complexity: Describing videos used for teacher learning, EURASIA Journal of Mathematics, Science and Technology Education, 16, 10.29333/ejmste/113288
Association of Mathematics Teacher Educators [AMTE]. (2017). Standards for preparing teachers of mathematics. Accessed at: amte.net/standards.
Ball, 2011, Building a common core for learning to teach and connecting professional learning to practice, American Educator, 35, 17
Bills, 1999, Examples, generalisation and proof, 1, 103
Boaler, 2008, Creating mathematical futures through an equitable teaching approach: The case of Railside school, Teachers College Record, 110, 608, 10.1177/016146810811000302
Carpenter, 1989, Using knowledge of children's mathematics thinking in classroom teaching: An experimental study, American Educational Research Journal, 26, 32, 10.3102/00028312026004499
Carpenter, 1998, A longitudinal study of invention and understanding in children’s multidigit addition and subtraction, Journal for Research in Mathematics Education, 29, 3, 10.2307/749715
Castro Superfine, 2019, Facilitating video-based discussions to support prospective teacher noticing, Journal of Mathematical Behavior, 54, 10.1016/j.jmathb.2018.11.002
Cohen, 2009, Complex instruction: Equity in cooperative learning classroom, Theory into Practice, 30, 80, 10.1080/00405849909543836
De Corte, E. , Verschaffel, L. , & Greer, B. , (2000, November). Connecting mathematics problems solving to the real world. In Proceedings of the International Conference on Mathematics Education into the 21st Century: Mathematics for Living. (pp. 66–73).
Ding, 2016, Opportunities to notice: Chinese prospective teachers noticing students’ ideas in a distance formula lesson, Journal of Mathematics Teacher Education, 19, 325, 10.1007/s10857-015-9301-3
Drake, 2006, Turning points: Using teachers’ mathematics life stories to understand the implementation of mathematics education reform, Journal of Mathematics Teacher Education, 9, 579, 10.1007/s10857-006-9021-9
Drake, 2015, Three strategies for opening curriculum spaces, Teaching Children Mathematics, 21, 346, 10.5951/teacchilmath.21.6.0346
Fennema, 1993, Using children’s mathematical knowledge in instruction, American Educational Research Journal, 30, 555, 10.3102/00028312030003555
Gonzalez, 2017, Teachers’ understandings of realistic contexts to capitalize on students’ prior knowledge, School Science and Mathematics, 117
Granberg, 2016, Discovering and addressing errors during mathematics problem-solving – A productive struggle, Journal of Mathematical Behavior, 42, 33, 10.1016/j.jmathb.2016.02.002
Gutiérrez, 2009, Helping students to play the game and change the game, Teaching for Equity and Excellence in Mathematics, 1, 4
Gutiérrez, 2012, Context matters: How should we conceptualize equity in mathematics education?, 17
Guzman, 2015, Connecting multiple mathematical knowledge bases: Prospective teachers' concept maps of assessing children's understanding of fractions, North American Chapter of the International Group for the Psychology of Mathematics Education
Hattie, 2007, The power of feedback, Review of Educational Research, 77, 81, 10.3102/003465430298487
Hiebert, 2007, The effects of classroom mathematics teaching on students learning, 371
Hohensee, 2016, Teachers’ awareness of the relationship between prior knowledge and new learning, Journal for Research in Mathematics Education, 47, 17, 10.5951/jresematheduc.47.1.0017
Horn, 2017
Hsieh, 2005, Three approaches to qualitative content analysis, Qualitative Health Research, 15, 1277, 10.1177/1049732305276687
Jacobs, 2010, Professional noticing of children's mathematical thinking, Journal for Research in Mathematics Education, 41, 169, 10.5951/jresematheduc.41.2.0169
Jenkins, 2010, Developing teachers’ knowledge of students as learners of mathematics through structured interviews, Journal of Mathematics Teacher Education, 13, 141, 10.1007/s10857-009-9129-9
Johnson, 1991
Johnson, 2008, Social interdependence theory and cooperative learning: The teacher’s role, 9
Kalinec-Craig, 2021, “It was smart when:” Supporting prospective teachers’ noticing of students’ mathematical strengths, Journal of Mathematics Teacher Education, 24, 375, 10.1007/s10857-020-09464-2
Kang, 2019, Articulating design principles for productive use of video in preservice education, Journal of Teacher Education, 70, 10.1177/0022487118778549
Lin, 2019, Assessing the learning achievement of students from different college entrance channels: a linear growth curve modeling approach, Assessment & Evaluation in Higher Education, 44, 732, 10.1080/02602938.2018.1532490
Lortie, 1975
Lynch, 2018, Productive struggle for all: Differentiated instruction, Mathematics Teaching in the Middle School, 23, 194, 10.5951/mathteacmiddscho.23.4.0194
Maher, 2005, How students structure their investigations and learn mathematics: Insights from a longitudinal study, Journal of Mathematical Behavior, 24, 1, 10.1016/j.jmathb.2004.12.006
Mason, 1998, Enabling teachers to be real teachers: Necessary levels of awareness and structure of attention, Journal of Mathematics Teacher Education, 1, 243, 10.1023/A:1009973717476
Mason, 2011, Noticing: Roots and branches, 35
Mewborn, 2006, Lortie’s apprenticeship of observation revisited, For the Learning of Mathematics, 26, 23
Moschkovich, 2007, Bilingual mathematics learners: How views of language, bilingual learners, and mathematical communication affect instruction, 121
Moschkovich, 2013, Principles and guidelines for equitable mathematics teaching practices and materials for English language learners, Journal of Urban Mathematics Education, 6, 45, 10.21423/jume-v6i1a204
Moschkovich, 2015, Academic literacy in mathematics for English learners, The Journal of Mathematical Behavior, 40, 43, 10.1016/j.jmathb.2015.01.005
Nasir, 2014
National Council of Teachers of Mathematics (NCTM), (2014). Principles to actions: Ensuring mathematical success for all. Reston, VA: NCTM.
Nicol, 2006, Learning to teach with mathematics textbooks: How preservice teachers interpret and use curriculum materials, Educational Studies in Mathematics, 62, 331, 10.1007/s10649-006-5423-y
Nieto, 2000, Placing equity front and center: Some thoughts on transforming teacher education for a new century, Journal of Teacher Education, 51, 180, 10.1177/0022487100051003004
Philipp, 2007, Effects of early field experiences on the mathematical content knowledge and beliefs of prospective elementary school teachers: an experimental study, Journal for Research in Mathematics Education, 38, 438
Reinholz, 2017, Forms of formative assessment: Eliciting and using student thinking, For the Learning of Mathematics, 37, 9
Roth McDuffie, 2014, Using video analysis to support prospective K-8 teachers’ noticing of students’ multiple mathematical knowledge bases, Journal of Mathematics Teacher Education, 17, 245, 10.1007/s10857-013-9257-0
Rowland, 2008, The purpose, design and use of examples in the teaching of elementary mathematics, Educational Studies in Mathematics, 69, 149, 10.1007/s10649-008-9148-y
Saldaña, 2013
Santagata, 2021, Mathematics teacher learning to notice: A systematic review of studies of video-based programs, ZDM-Mathematics Education, 53, 119, 10.1007/s11858-020-01216-z
Santagata, 2007, The role of lesson analysis in pre-service teacher education: an empirical investigation of teacher learning from a virtual video -based field experience, Journal of Mathematics Teacher Education, 10, 123, 10.1007/s10857-007-9029-9
Schack, 2017
Schoenfeld, 2011, Noticing matters. A lot. Now What!, 223
Sherin, 2011
Sherin, 2009, Effects of video club participation on teachers’ professional vision, Journal of Teacher Education, 60, 20, 10.1177/0022487108328155
Sleep, 2012, Preparing beginning teachers to elicit and interpret students’ mathematical thinking, Teaching and Teacher Education, 28, 1038, 10.1016/j.tate.2012.04.005
Star, 2008, Learning to observe: Using video to improve preservice teachers’ ability to notice, Journal of Mathematics Teacher Education, 11, 107, 10.1007/s10857-007-9063-7
Stein, 2000
Stockero, 2017, Learning to notice important student mathematical thinking in complex classroom interactions, Teaching and Teacher Education, 63, 384, 10.1016/j.tate.2017.01.006
Turner, 2012, Promoting equity in mathematics teacher preparation: A framework for advancing teacher learning of children’s multiple mathematics knowledge bases, Journal of Mathematics Teacher Education, 15, 67, 10.1007/s10857-011-9196-6
Turner, 2016, Learning to leverage children’s multiple mathematical knowledge bases in mathematics instruction, Journal of Urban Mathematics Education, 9, 48
van Es, 2011, A framework for learning to notice student thinking, 134
van Es, 2008, Mathematics teachers’ “learning to notice” in the context of a video club, Teaching and Teacher Education, 24, 244, 10.1016/j.tate.2006.11.005
Villegas, 2002
Vos, 2018, How real people really need mathematics in the real world-Authenticity in mathematics education, Education Sciences, 8, 195, 10.3390/educsci8040195
Vygotsky, 1962
Vygotsky, 1980
Warshauer, 2015, Productive struggle in middle school mathematics classrooms, Journal of Mathematics Teacher Education, 18, 375, 10.1007/s10857-014-9286-3
Warshauer, 2019, Developing prospective teachers’noticing and notions of productive struggle with video analysis in a mathematics content course, Journal of Mathematics Teacher Education, 24, 89, 10.1007/s10857-019-09451-2
Watson, A., & Mason, J. , (2002, July). Extending example spaces as a learning/teaching strategy in mathematics. In PME Conference (Vol. 4, pp. 4–377).
Zhao, 2019, Supporting English learners in the math classroom: Five useful tools, The Mathematics Teacher, 112, 288, 10.5951/mathteacher.112.4.0288
Zodik, 2008, Characteristics of teachers’ choice of examples in and for the mathematics classroom, Educational Studies in Mathematics, 69, 165, 10.1007/s10649-008-9140-6
