On the theoretical, conceptual, and philosophical foundations for research in mathematics education
By Frank K. Lester Jr.. 2005
223 citations recorded by the source corpus.
Subfields: Education, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/8d3c7f5f1740a9ffee75220648339365a38d75e0
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Education
- Luis Radford
- Luis Radford Hernandez
- J. Nelson
- Rebecca M. Bustamante
- F. Arzarello
- C. Christou
- N. Mousoulides
- Bharath Sriraman
In Statistics and Probability
- Luis Radford
- Bharath Sriraman
- F. Arzarello
- C. Christou
- Johan Lithner
- Susanne Prediger
- Angelika Bikner-Ahsbahs
- N. Mousoulides
Citations in the corpus
- Expert Evaluation of Diagnostic Instrument for Personal and Organizational Value Congruence (2016, background): ““developed by using an established, coherent explanation of certain sorts of phenomena and relationships”; (Lester 2005) and/or conceptual framework(s) (i.”
- A global survey of international perspectives on modelling in mathematics education (2006, background): “The analyses show that the various approach are partly incommensurable, this incommensurability might best be resolved by resorting to Lester’s (2005) philosophical framework for understanding researcher’s stances in educational research.”
- Mixed Research as a Tool for Developing Quantitative Instruments (2010, background): “…relevant theoretical framework(s) (i.e., ‘‘developed by using an established, coherent explanation of certain sorts of phenomena and relationships’’; Lester, 2005, p. 458) and/or conceptual framework(s) (i.e., ‘‘an argument that the concepts chosen for investigation, and any anticipated…”
- Journal Quality in Mathematics Education (2017, background): “Two important components of research quality are (a) how useful the research is to other scholars or practitioners and (b) the opinion of scholars in the same field as to the novelty, validity, and importance of the work (Lester, 2005; Schoenfeld, 2007).”
- A Modeling Perspective on the Teaching and Learning of Mathematical Problem Solving (2008, background): “Student Modeling Ability includes structuring, mathematizing, interpreting, and solving real world problems and it includes the ability to work with mathematical models: to validate the model, to analyze it critically and to assess the model and its results, to communicate the model and to observe a”
- Networking strategies and methods for connecting theoretical approaches: first steps towards a conceptual framework (2008, background): “…should be drawn for the sake of scientific communication and progress (see Section 2), all authors in this issue (and with them many other authors like Cobb, 2007; Lester, 2005) adopt an intermediate position in repudiating isolationism and emphasizing the gain of different perspectives.”
- Connecting theories in mathematics education: challenges and possibilities (2008, background): “…part, drawing explicitly and implicitly on some previous ideas and discussions (e.g., Bikner-Ahsbahs & Prediger, 2006; Cobb, 2007; Lerman, 2006; Lester, 2005; Niss, 1999; Silver & Herbst, 2007; Sriraman & English, 2005), I argued for the need to create ‘‘topics’’ or ‘‘plots’’ in the…”
- The Ethics of Being and Knowing: Towards a Cultural Theory of Learning (2008, background): “3 For some recent discussions on these differences see e.g. Bikner-Ahsbahs and Prediger (2006), Cobb (2007), Lerman (2006), Lester (2005), Niss (1999), Radford (2008b, 2008c), Silver and Herbst (2007), and Sriraman and English (2005).”
- Thoughts About Research On Mathematical Problem- Solving Instruction (2013, background): “successful problem solving (Garofalo & Lester, 1984), but we really know almost nothing about what teachers should do to develop students’ metacognitive abilities. To be sure, it is essential that successful problem solvers be able to monitor and regulate their cognitive behaviors. But, almost no re”
- A research framework for creative and imitative reasoning (2008, background): “Lester (2005) claims that “without a framework, the researcher can speculate at best or offer no explanation at all” (p. 461).”
- Understanding, Selecting, and Integrating a Theoretical Framework in Dissertation Research: Creating the Blueprint for Your "House". (2016, background): “Silver and Herbst (as cited in Lester, 2005) have acknowledged that journal submissions are often rejected for being atheoretical, or having no theory.”