The case for a sub-element ‘measuring matter’ within the Australian national numeracy learning progression

2021 ◽  
pp. 000494412110418
Author(s):  
Heather J McMaster ◽  
Christine Preston ◽  
Hailan Wang ◽  
Mersini Perivolarellis
Keyword(s):  
Education Research ◽  
Mathematics Education ◽  
Variation Theory ◽  
Learning Progression ◽  
Australian Curriculum ◽  
Mathematics Educators ◽  
Scientific Ideas ◽  
Geometric Measurement ◽  
Area And Volume ◽  
And Task

Australia has a National Numeracy Learning Progression (NNLP) that is strongly aligned with the Australian Curriculum: Mathematics. This article examines how a sub-element within this progression could be impacting students’ learning of Science. This sub-element is firmly based on Mathematics education research as to how students build their understanding of geometric measurement (the structure of length, area and volume). Mathematics educators subsequently researched children’s measurement of mass and included it within the same sub-element of the NNLP. The contexts in which mass and volume are measured in Mathematics are different to those used in teaching Science. This article presents two studies that used variation theory and task-based interviews of children in Years 5 and 6, to explore their thinking about mass and volume in a Science context. The findings suggest that mathematical constructs in geometric measurement could be constraining the development of scientific ideas about matter. This research has implications for furthering the development of the NNLP to encompass scientific aspects of measuring matter.

Book Review: Reconsidering Affect in Mathematics Education

2017 ◽  
Vol 48 (1) ◽  
pp. 106-110 ◽  
Author(s):  
Amanda Jansen ◽  
Joseph DiNapoli ◽  
Kristin McKenney
Keyword(s):  
Education Research ◽  
Mathematics Education ◽  
Teaching And Learning ◽  
Mathematics Education Research ◽  
Short Period ◽  
Mathematics Educators ◽  
Affective Constructs

Mathematics educators incorporate affective constructs into their research as they seek to understand phenomena related to teaching and learning. Some prominent findings in mathematics education research suggest that beliefs provide explanations for some perplexing behaviors. For instance, if students stop working on a challenging task after a short period of time, one explanation may be that they believe that if you understand mathematics, you can solve problems in 5 minutes or less (Schoenfeld, 1988).

Radical Constructivism and Mathematics Education

1994 ◽  
Vol 25 (6) ◽  
pp. 711-733 ◽  
Author(s):  
Leslie P. Steffe ◽  
Thomas Kieren
Keyword(s):  
Education Research ◽  
Mathematics Education ◽  
Cognitive Development ◽  
Mathematics Education Research ◽  
School Mathematics ◽  
Reform Movement ◽  
Radical Constructivism ◽  
Mathematics Educators ◽  
And Mathematics ◽  
Research In Mathematics Education

Our intention in this article is to provide an interpretation of the influence of constructivist thought on mathematics educators starting around 1960 and proceeding on up to the present time. First, we indicate how the initial influence of constructivist thought stemmed mainly from Piaget's cognitive-development psychology rather than from his epistemology. In this, we point to what in retrospect appears to be inevitable distortions in the interpretations of Piaget 's psychology due primarily to its interpretation in the framework of Cartesian epistemology. Second, we identify a preconstructivist revolution in research in mathematics education beginning in 1970 and proceeding on up to 1980. There were two subperiods in this decade separated by Ernst von Glasersfeld's presentation of radical constructivism to the Jean Piaget Society in Philadelphia in 1975. Third, we mark the beginning of the constructivist revolution in mathematics education research by the publication of two important papers in the JRME (Richards & von Glasersfeld, 1980; von Glasersfeld, 1981). Fourth, we indicate how the constructivist revolution in mathematics education research served as a period of preparation for the reform movement that is currently underway in school mathematics.

Five Decades of Mathematics Education Research

2018 ◽  
Vol 49 (4) ◽  
pp. 462-500 ◽  
Author(s):  
Matthew Inglis ◽  
Colin Foster
Keyword(s):  
Education Research ◽  
Mathematics Education ◽  
Full Text ◽  
Research Programme ◽  
Experimental Investigations ◽  
Theoretical Orientations ◽  
The Social ◽  
Mathematics Educators ◽  
Research In Mathematics Education ◽  
Educational Studies In Mathematics

Mathematics educators have been publishing their work in international research journals for nearly 5 decades. How has the field developed over this period? We analyzed the full text of all articles published in Educational Studies in Mathematics and the Journal for Research in Mathematics Education since their foundation. Using Lakatos's (1978) notion of a research programme, we focus on the field's changing theoretical orientations and pay particular attention to the relative prominence of the experimental psychology, constructivist, and sociocultural programmes. We quantitatively assess the extent of the “social turn,” observe that the field is currently experiencing a period of theoretical diversity, and identify and discuss the “experimental cliff,” a period during which experimental investigations migrated away from mathematics education journals.

Review: The Mathematics of Popular Consumption

1996 ◽  
Vol 27 (2) ◽  
pp. 241-243
Author(s):  
Suzanne K. Damarin
Keyword(s):  
Education Research ◽  
Mathematics Education ◽  
Philosophy Of Mathematics ◽  
Mathematics Education Research ◽  
Paradigm Shifts ◽  
Body Of Knowledge ◽  
Mathematics Educators ◽  
Community Of Researchers

Various forms of constructivism have been widely accepted among mathematics educators as describing not only the processes by which individual students learn mathematics, but also the development of mathematic itself as a body of knowledge. Constructivism has led to a revival of research in the philosophy of mathematics as a social-cultural-historical construction (Hersh, 1994) and to paradigm shifts in mathematics education research as we seek to understand the ways mathematics is learned and taught most effectively. Constructivism notwithstanding, however, accepted ideas of what is comprised in mathematics as a body of knowledge have not been significantly altered within the community of researchers and teachers who study. practice, and teach malhematics. the philosophy of mathematics, or mathematics education.

scholarly journals Future themes of mathematics education research: an international survey before and during the pandemic

2021 ◽  
Vol 107 (1) ◽  
pp. 1-24
Author(s):  
Arthur Bakker ◽  
Jinfa Cai ◽  
Linda Zenger
Keyword(s):  
Education Research ◽  
Mathematics Education ◽  
Teacher Professional Development ◽  
Mathematics Education Research ◽  
International Survey ◽  
Teaching Approaches ◽  
Education Teacher ◽  
Development Technology ◽  
Teacher Professional ◽  
Research In Mathematics Education

AbstractBefore the pandemic (2019), we asked: On what themes should research in mathematics education focus in the coming decade? The 229 responses from 44 countries led to eight themes plus considerations about mathematics education research itself. The themes can be summarized as teaching approaches, goals, relations to practices outside mathematics education, teacher professional development, technology, affect, equity, and assessment. During the pandemic (November 2020), we asked respondents: Has the pandemic changed your view on the themes of mathematics education research for the coming decade? If so, how? Many of the 108 respondents saw the importance of their original themes reinforced (45), specified their initial responses (43), and/or added themes (35) (these categories were not mutually exclusive). Overall, they seemed to agree that the pandemic functions as a magnifying glass on issues that were already known, and several respondents pointed to the need to think ahead on how to organize education when it does not need to be online anymore. We end with a list of research challenges that are informed by the themes and respondents’ reflections on mathematics education research.

scholarly journals Obstacles to Addressing Race and Ethnicity in the Mathematics Education Literature

2012 ◽  
Vol 43 (3) ◽  
pp. 238-252 ◽  
Author(s):  
Amy Noelle Parks ◽  
Mardi Schmeichel
Keyword(s):  
Education Research ◽  
Mathematics Education ◽  
Literature Review ◽  
Race And Ethnicity ◽  
Mathematics Education Research ◽  
Education Literature ◽  
Independent Variables

This Research Commentary builds on a 2-stage literature review to argue that there are 4 obstacles to making a sociopolitical turn in mathematics education that would allow researchers to talk about race and ethnicity in ways that take both identity and power seriously: (a) the marginalization of discussions of race and ethnicity; (b) the reiteration of race and ethnicity as independent variables; (c) absence of race and ethnicity from mathematics education research; and (d) the minimizing of discussions of race and ethnicity, even within equity-oriented work.

Sign in / Sign up

Export Citation Format

Share Document