scholarly journals Integrating numerical cognition research and mathematics education to strengthen the teaching and learning of early number

2021 ◽  
Author(s):  
Zachary Hawes ◽  
Rebecca Merkley ◽  
Christine L. Stager ◽  
Daniel Ansari
Keyword(s):  
Mathematics Education ◽  
Teaching And Learning ◽  
Numerical Cognition ◽  
Early Number ◽  
And Mathematics

scholarly journals Integrating numerical cognition research and mathematics education to strengthen the teaching and learning of early number

2019 ◽  
Author(s):  
Zachary Hawes ◽  
Rebecca Merkley ◽  
Daniel Ansari
Keyword(s):  
Mathematics Education ◽  
Teaching And Learning ◽  
Numerical Cognition ◽  
School Context ◽  
Intervention Group ◽  
Number Line ◽  
Control Group ◽  
Number Line Estimation ◽  
Teachers And Students ◽  
And Mathematics

This study reports on the design, implementation, and effects of a 16-week (25-hour) mathematics Professional Development (PD) model for K-3 educators (N=45) and their students (N=180). A central goal of the PD was to better integrate numerical cognition research and mathematics education. The results of the first iteration (Year 1), indicated that compared to a control group, both teachers and students benefitted from the intervention. Teachers demonstrated gains in self-perceived and actual numerical cognition knowledge, while students demonstrated gains in number line estimation, arithmetic, and numeration. In Year 2, teachers in the intervention group demonstrated greater improvements than the control group on a measure of self-perceived numerical cognition knowledge, but no gains in actual numerical cognition knowledge. At the student level, there was some evidence of gains in numeration. Given the mixed findings, questions remain as to why the model may be effective in one school context but not another.

scholarly journals Problematizing teaching and learning mathematics as “given” in STEM education

2019 ◽  
Vol 6 (1) ◽  
Author(s):  
Yeping Li ◽  
Alan H. Schoenfeld
Keyword(s):  
Mathematics Education ◽  
Stem Education ◽  
Teaching And Learning ◽  
Science Technology ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
Alternative Approach ◽  
And Mathematics ◽  
Scientific Engineering

AbstractMathematics is fundamental for many professions, especially science, technology, and engineering. Yet, mathematics is often perceived as difficult and many students leave disciplines in science, technology, engineering, and mathematics (STEM) as a result, closing doors to scientific, engineering, and technological careers. In this editorial, we argue that how mathematics is traditionally viewed as “given” or “fixed” for students’ expected acquisition alienates many students and needs to be problematized. We propose an alternative approach to changes in mathematics education and show how the alternative also applies to STEM education.

Enhancing ICT Application in Science and Mathematics Education

2010 ◽  
pp. 142-164
Author(s):  
Suan Yoong ◽  
Lee Yuen Lew
Keyword(s):  
Mathematics Education ◽  
Teaching And Learning ◽  
Information Communication ◽  
Good Practices ◽  
Current Trends ◽  
Current Thinking ◽  
Emerging Issues ◽  
Key Features ◽  
Ict Infrastructure ◽  
And Mathematics

This chapter reviews the Malaysian experience in implementing the Smart School Flagship initiatives, notably in the implementation of information communication technology (ICT) application in science and mathematics education. From a macro perspective, this chapter takes stock of the achievements of the Smart School Flagship in enabling ICT infrastructure and Internet connectivity in Malaysian schools. It attempts to appraise current trends and practice, clarifies emerging issues or challenges that schools face in trying to improve the ways in which ICT is applied to enhance teaching and learning, and identifies promising good practices so that general lessons may be drawn that are of interests to Malaysia and other countries. It does not claim to comprehensively cover every aspect of the initiatives but aims to contribute to current thinking about this topic by presenting a practical and pragmatic evaluation of some of its key features.

A New Way of Teaching

1996 ◽  
Vol 178 (1) ◽  
pp. 49-59 ◽  
Author(s):  
Fernand J. Prevost
Keyword(s):  
Mathematics Education ◽  
Education Reform ◽  
Classroom Discourse ◽  
Teaching And Learning ◽  
National Curriculum ◽  
And Mathematics ◽  
Teaching Learning ◽  
Change Task ◽  
Analysis Of Teaching ◽  
Present Understanding

A new view of teaching is emerging from the work of the constructivists and mathematics education reform leaders. In particular, we examine here four aspects of teaching that must change: task selection, guidance of classroom discourse, setting the learning environment, and the analysis of teaching and learning. Several national curriculum projects are working to effect these changes and examples of their work are provided. This work has motivated individual teachers to similarly design investigations that engage students in the study of significant mathematics, and two examples are included. Assessment must also change and students must learn to become less dependent on “authority” for the correctness of answers. Finally, our present understanding of constructivism and its implications for teaching/learning must not be static; though that view now may be at the center, we must listen to those who are on the edges and expect to be changed again and again in the years ahead.

Assessing Young Children's Arithmetical Strategies and Knowledge: Providing Learning Opportunities for Teachers

2002 ◽  
Vol 27 (3) ◽  
pp. 31-36 ◽  
Author(s):  
Robert J. Wright
Keyword(s):  
Teaching And Learning ◽  
New South ◽  
Relevant Literature ◽  
Student Assessment ◽  
Learning Opportunities ◽  
Early Numeracy ◽  
Part C ◽  
South Wales ◽  
Early Number ◽  
And Mathematics

Two interrelated initiatives in early numeracy are briefly described—the Count Me In Too Project in New South Wales, and Mathematics Recovery. The article then focuses on an approach to student assessment which is used in both initiatives. This approach enables teachers to better understand young children's early arithmetical strategies and knowledge. The approach is described in three parts: Part A focuses on initial strategies for addition or subtraction; for example, counting-from-one, counting-on, using finger patterns, and using strategies other than counting by ones. Part B focuses on strategies to solve two-digit subtraction and strategies for incrementing by tens and ones. And Part C focuses on strategies for early multiplication and division. Following this, the strategies which have been described in each part are discussed in terms of their relative sophistication. The discussion includes links to relevant literature and issues relevant to the teaching of early numbers. The conclusion lists six important points about early number teaching and learning.

scholarly journals Empowering the Disadvantaged Students in Mathematics Education: Relevance of Social Justice, Equity and Mainstreaming

2019 ◽  
Vol 29 ◽  
pp. 132-145
Author(s):  
Bed Prasad Dhakal
Keyword(s):  
Mathematics Education ◽  
Mathematical Knowledge ◽  
Teaching And Learning ◽  
Phenomenological Study ◽  
Mathematics Classroom ◽  
Secondary Level ◽  
Learning Mathematics ◽  
Contextualized Teaching And Learning ◽  
And Mathematics ◽  
Mind Set

Mathematical knowledge is indubitable in various sectors, but diversity in culture and tradition in society causes inequality, injustice and backwardness among the students learning mathematics. Study of cultural heritage, customs, behavior in mathematics education is the demand of post-modern paradigm. Efforts of self-organization and co-construction in the initiation of students and teachers through their active participation, interaction and mathematics classroom discourses could be instrumental towards the generation of mathematical knowledge in classroom – which can support to reduce the western domination in mathematics education; and societal negative mind-set about mathematics education will also be minimized in this way. Ethno-mathematics, diversified mathematical strategies, culturally responsive mathematics classroom and enhancing equity in learning mathematics are the major dimensions that mathematics professionals need to exercise for the effective, reflective and contextualized teaching and learning of mathematics. This is a phenomenological study conducted among secondary level mathematics teachers. Using written interview and informal sharing of participants’ experiences towards teaching and learning mathematics, three major themes were developed and discussed. This article primarily shows that there exists the intertwined relation among these themes; and it is essential to properly address these themes for more effective learning of mathematics in the context of Nepalese secondary level classrooms.

scholarly journals Bridging psychology and mathematics education: Reflections on boundary crossing

2018 ◽  
Vol 4 (1) ◽  
pp. 09-18 ◽  
Author(s):  
Martha W. Alibali ◽  
Eric J. Knuth
Keyword(s):  
Mathematics Education ◽  
Professional Identity ◽  
Teaching And Learning ◽  
Applied Research ◽  
Interdisciplinary Collaboration ◽  
Levels Of Analysis ◽  
Boundary Crossing ◽  
Critical Questions ◽  
Basic And Applied Research ◽  
And Mathematics

Collaborations between psychology and mathematics education have the potential to yield progress on critical questions about the teaching and learning of mathematics. In this paper, we describe our experience of collaborating at this boundary. We have found that collaboration has many benefits: it strengthens the research, it is professionally enriching, and it brings novel perspectives to disciplinary communities. However, collaboration is also challenging, because different views about the nature of knowledge and the aims of inquiry can be difficult to bridge. Collaboration can also raise difficult questions about professional identity. We consider several factors that are critical to success in interdisciplinary collaboration, including methodological openness, a broad view of what constitutes “basic” and “applied” research, and an appreciation for diverse perspectives and varying levels of analysis. We close by offering some advice for others who wish to collaborate at the boundary of psychology and mathematics education.

Asset-Based Approaches to Equitable Mathematics Education Research and Practice

2018 ◽  
Vol 49 (4) ◽  
pp. 373-389 ◽  
Author(s):  
Sylvia Celedón-Pattichis ◽  
Lunney Lisa Borden ◽  
Stephen J. Pape ◽  
Douglas H. Clements ◽  
Susan A. Peters ◽  
...  
Keyword(s):  
Mathematics Education ◽  
Mathematics Teaching ◽  
Teaching And Learning ◽  
Public Perception ◽  
Mission Statement ◽  
Mathematics Learning ◽  
National Council ◽  
Learning And Teaching ◽  
Mathematics Teaching And Learning ◽  
And Mathematics

In July 2017, the National Council of Teachers of Mathematics (NCTM) released a new mission statement that shifts the organization's primary focus to supporting and advocating for the highest quality mathematics teaching and learning for all students. A key strategy for achieving this goal is to advance “a culture of equity where each and every person has access to high quality teaching and is empowered as a learner and doer of mathematics” (NCTM, 2017, “Strategic Framework,” para. 2). Increasing equity and ensuring the highest quality mathematics teaching and learning for all students requires systemic change (National Council of Supervisors of Mathematics [NCSM] & TODOS: Mathematics for ALL, 2016). As educators are called to enact NCTM's new mission, we acknowledge that such change is complex. We also acknowledge that our own experiences conducting equity work that is grounded in an asset-based approach are at different stages of development, ranging from beginning levels to lived experiences as diverse mathematics learners and mathematics education researchers. We see this change in mission as a call to both act politically (Aguirre et al., 2017) and to change story lines (i.e., “broad, culturally shared narrative[s]”; Herbel-Eisenmann et al., 2016, p. 104) that dominate the public perception of mathematics learning and teaching. We acknowledge that systemic barriers are part of a larger educational issue, but for the purposes of this commentary, we focus on mathematics.

scholarly journals Educação Matemática: um olhar histórico-epistemológico

2020 ◽  
Vol 4 (1) ◽  
pp. 23-36
Author(s):  
Francieli Cristina Agostinetto Antunes ◽  
Lisiane Cristina Amplatz ◽  
Maykon Jhonatan Schrenk ◽  
Sibeli Mallmann Pacheco
Keyword(s):  
Mathematics Education ◽  
Mathematics Teachers ◽  
Teaching And Learning ◽  
Scientific Field ◽  
Mathematical Education ◽  
Teacher Formation ◽  
Know How ◽  
Professional Field ◽  
And Mathematics ◽  
Over Time

Resumo: Este texto é resultado de reflexões referentes ao tema “Educação Matemática como campo de pesquisa e profissional” em que, motivados por entender o que a compõe e como essas discussões foram se modificando ao longo do tempo, nos dedicamos a uma pesquisa bibliográfica não exaustiva para compreender o processo de construção deste campo de conhecimento, em âmbito nacional e internacional. Este estudo nos proporcionou conhecer como ocorreu a construção desta área e quais aspectos foram fundamentais em sua constituição como campo de pesquisa e profissional até os dias atuais. Além disso, ressaltamos a importância de manter vínculos entre educadores matemáticos e matemáticos, bem como entre pesquisadores e professores de Matemática, a fim de constituir uma área, profissional e acadêmica, cujos esforços estejam voltados para a produção de práticas que beneficiem o processo de ensino e aprendizagem da Matemática.Palavras-chave: Educação Matemática; Campo Científico; Campo Profissional; Formação Docente. Mathematical Education: a historical-epistemological lookAbstract: This text is the result of reflections regarding “Mathematics Education as a field of research and professional” in which, motivated to understand what makes it up and how these discussions have changed over time, we dedicate ourselves to a non-exhaustive bibliographical research to understand the process of construction of this field of knowledge at the international and national levels. This study allowed us to know how the construction of this area occurred and what aspects were fundamental in its constitution as a field of research and professional up to the present day. In addition, we emphasize the importance of maintaining the links between mathematical and mathematical educators, as well as between researchers and Mathematics teachers, in order to constitute an area, professional and academic, whose efforts are focused on the production of practices that benefit the process of teaching and learning mathematics.Keywords: Mathematics Education; Scientific Field; Professional Field; Teacher Formation. 

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