maria l. blanton, ph.d. academic degrees - TERC
Teachers' Professional Practice and Its Impact on Student Learning and Achievement. ... Blanton, M. (2008) Algebra and the Elementary Classroom: Transforming Thinking, .... Algebrafying the elementary mathematics experience Part II:.
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quale algebra nella scuola media - Progetto ArAl
elementary) and where new knowledge derives (by means of transformation consented by al- ... however the defects can be found in the didactical practice which do- ..... Algebrafying the Elementary Mathematics Experience: Part 1: Transforming Task. Structures, part II Transforming practice on a district-wide scale, Proc.
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ELEMENTARY GRADES STUDENTS' CAPACITY FOR
This is a study of how urban elementary grades students develop and express ... mathematics should extend further to include functional thinking as well. ... development program in an urban school district designed to help teachers transform ... their instructional resources and teaching practices to build on classroom.
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TME, vol10, no.3, p. 519 - Department of Mathematical Sciences
The Institute seeks to transform and improve the teaching and learning of mathematics in middle school and the connections between the elementary, .... created during the NSF support period, are now part of Tufts' regular course offers and ... The individual members of the Poincaré Institute often have experience in more.
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WORKING GROUP 12. From a study of teaching practices to issues
Formative assessment: Tools for transforming school mathematics towards a dialogic ... Thirty six researchers from 16 nationalities took part in the sessions, which were ... x PANEL II: Approaching reflection in mathematics teachers' ...... notion of “algebrafying the elementary mathematics experience”, a process including.
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Transforming Identities - Teacher Education Quarterly
Transforming Identities: .... or open up new possibilities as other teachers practice mathematics ... students. Working to become a part of such a community of teachers often sits in .... school was designated an II/USP (Immediate Intervention /Underperforming Schools ...... Algebrafying the elementary mathematics experience:.
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Download PDF - Springer
Sep 14, 2011 ... the two, that is, a valid transformation ought to keep two expressions equivalent and .... demonstration of procedures followed by practice of some questions. ...... Algebrafying the elementary mathematics experience Part II:.
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Full text PDF - IEJME-Mathematics Education
means of the elementary algebraic tasks that preservice teachers ... will be drawn for the education of primary teachers in order to “algebrafy” ... This research is in the context of social practice developed by teachers, it takes .... experience difficulties identifying, using and solving mathematical tasks that ..... experience Part II.
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Teachers' Knowledge and the Teaching of Algebra - Springer
In this chapter an analysis of the research on teachers' knowledge and practice and its development with respect to the teaching of algebra is presented.
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Middle Grades Math: Assessing the Debate Over
transition between the foundational concepts presented in elementary math classes .... This paper is part of a series of white papers on research and best practices in middle ... experiences or supplement and support traditional school- based education. ..... advanced math classes beyond Algebra II (Atanda, 1999; Ma, 2000; ...
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Changing practice, changing minds, from arithmetical to algebraic
Algebraic thinking Teacher practice Concerns Levels of use Staff development ... 2003; Lodholz, 1999) call for “algebrafication” of the school mathematics curriculum. ... Their conceptions are rooted in their experiences in high school, where .... tools aided in elementary teachers' adoption of a new mathematics curriculum.
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Introduction - Corwin
(National Council of Teachers of Mathematics [NCTM]) made algebra one of the ... After all, elementary teachers were not educated to teach algebra, and, ... Experience algebraic acculturation: that is, cultivate new thought and ... teaching practices. ... Algebrafying the K–12 curriculum will transform Algebra from an engine of ...
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Download this PDF file
teaching, having had few experiences with generalization and formalization activities ... through the project Professional Practices of Mathematics Teachers ( contract .... a chance to: (i) analyse strategies used by students, (ii) observe, explore and ... Open tasks that allow for different solution strategies play an important part.
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Algebraic Reasoning in the Context of Elementary - Eric - US
"algebrafying" elementary mathematics instructional materials; (3) the evolution of classroom practice and culture towards forms that support the ... assessments; (5) the design of appropriate experiences for pre-service .... Algebra I into middle school is not a good idea, in part because "students are likely to have less.
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Reproductions supplied by EDRS are the best that can be - Eric
Transforming Algebra from an Engine of Inequity to an Engine of Mathematical Power by "Algebrafying" the K-12 Curriculum. INSTITUTION ... *Algebra; * Educational Change; Elementary Secondary. Education ... It alienates even nominally successful students from genuine mathematical experience, prevents real reform ...
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Math - Sylvan Research Institute
small-group instructional program, mathematics camps, and Sylvan's new digital teaching ... instruction, and engaging, interactive learning experiences. .... proficiency, in part because so many students have diculty transitioning from arithmetic .... The NCTM Process Standards vs. the CCSS for Mathematical Practice.
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Program Book - National Council of Teachers of Mathematics
experience Washington, make sure you visit the Mall, the Smithsonian .... that are part of this strand. ..... “Algebrafying” elementary school mathematics is often ... coaches' practices and their impact on teachers and student ... gifted students have worked together to transform a fifth- ..... I/II, PSAT/NMSQT, ACT Assessments.
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Treating operations as functions - Tufts University
gradually realize that arithmetic and elementary algebra can intertwine ... As part of this effort, we are systematically investigating second to fourth graders' ... many of the difficulties that algebra and pre-algebra students experience are artifacts of ... treating arithmetical operations as functions in early mathematics instruction.
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Download as a PDF - CiteSeerX
mathematical part of the teaching mainly relies, in a computer environment, ... Eight first-year, elementary education majors at a ... characteristics, among others , for teachers implementing reform-based practices in the teaching ..... strategies that they may observe students using in the field experience ...... using strategy II.
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Algebra with Integrity and Reality - Center for Science, Mathematics
II am following Bourbaki in including "0" in the natural numbers, and, in fact, there are some mathematical reasons .... as a transformation of the real line. ..... Algebrafying the elementary mathematics experience. Part I. In. H. Chick, K. Stacey, 1. ... Kilpatrick (Eds.), Theory, Research & Practice in Mathematical Education (pp.
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