The Role of Theoretical Frameworks in Mathematics Education Research

Author(s):  
Denise A. Spangler ◽  
Steven R. Williams
2014 ◽  
Vol 45 (4) ◽  
pp. 402-405
Author(s):  
Nerida F. Ellerton

Research journals likeJRMEplay key roles through the publication of peerreviewed research, and it is through such publications that the field has the potential to grow. The metaphor of a growing tree is a useful one to explore in the context of mathematics education research. Growth in the natural world is generally multidimensional. A tree's growth is measured not only in terms of its height but also in terms of the girth of its trunk, the spread of its branches, and the development of a substantial root system, all of which are essential for the tree's continued growth and survival. Soil nutrients need to be replenished, and without sufficient moisture, growth is arrested, and the tree becomes stunted. Many of the most interesting natural landscapes include a range of tree species as well as supporting undergrowth.


2008 ◽  
Vol 39 (4) ◽  
pp. 365-371
Author(s):  
Sarah Theule Lubienski ◽  
Rochelle Gutiérrez

In this rejoinder, the authors further detail their positions on the role of gaps analyses in mathematics education research as outlined in the previous 2 articles. They clarify areas of agreement and probe areas of disagreement, focusing on the benefits and dangers they see in either emphasizing educational disparities between groups or shifting the focus to the advancement of particular groups. The authors discuss ways in which their backgrounds have shaped their differences in perspectives and priorities, including whether socioeconomic disparities or racial and ethnic identity are more focal in their work. Suggestions for lessening the dangers of gaps analyses are discussed.


1992 ◽  
Vol 23 (4) ◽  
pp. 341-344

As noted in Bishop (1992), at the initial meeting of the International Congress on Mathematical Education (ICME) in 1969, only one presentation directly addressed the role of inquiry in mathematics education research. If ICME 1988 is an indicator, then such discussion will be a hallmark of the international interchange to be held in Quebec in August 1992. In 1994, the presses will release the 25th volume of the Journal for Research in Mathematics Education (JRME). At the Research Presession of the Annual Meeting of the National Council of Teachers of Mathematics, Thomas Carpenter, outgoing editor of the JRME, remarked that whereas over 70% of volume 1 of the JRME reported purely quantitative studies, nearly 50% of the 1991 volume presented qualitative works (1992). Mathematics education research traditions still are evolving, in comparison to the more established research traditions in some disciplines, but the field is beginning to come of age. At this time it is reasonable for the mathematics education community to examine the varying approaches and traditions that characterize mathematics education research as well as the nature of evidence within these approaches and traditions.


2013 ◽  
Vol 44 (1) ◽  
pp. 11-22 ◽  
Author(s):  
Beatriz D'Ambrosio ◽  
Marilyn Frankenstein ◽  
Rochelle Gutiérrez ◽  
Signe Kastberg ◽  
Danny Bernard Martin ◽  
...  

This dialogue, also extracted from a conversation among members of the Equity Special Issue Editorial Panel, involves the role of a researcher's position in mathematics education. It raises issues about the non-neutrality of research; the relationship between a researcher's identity and the design, analysis, and conclusions of a research study; the benefits for researchers and participants in positioning oneself; and the role of mathematics education in this endeavor.


ZDM ◽  
2016 ◽  
Vol 48 (5) ◽  
pp. 611-632 ◽  
Author(s):  
Mogens Niss ◽  
Regina Bruder ◽  
Núria Planas ◽  
Ross Turner ◽  
Jhony Alexander Villa-Ochoa

2019 ◽  
Vol 50 (4) ◽  
pp. 342-348 ◽  
Author(s):  
Jinfa Cai ◽  
Anne Morris ◽  
Charles Hohensee ◽  
Stephen Hwang ◽  
Victoria Robison ◽  
...  

In our recent editorials (Cai et al., 2019a, 2019b), we discussed the important roles that research questions and theoretical frameworks play in conceptualizing, carrying out, and reporting mathematics education research. In this editorial, we discuss the methodological choices that arise when one has articulated research questions and constructed at least a rudimentary theoretical framework. Just as the researcher must justify the significance of research questions and the appropriateness of the theoretical framework, we argue that the researcher must thoroughly describe and justify the selection of methods. Indeed, the research questions and the theoretical framework should drive the choice of methods (and not the reverse). In other words, a sufficiently well-specified set of research questions and theoretical framework establish the parameters within which the most productive methods will be selected and developed.


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