The indicators of imitative and creative reasoning
The indicators of imitative and creative reasoning
Overview of reasoning types in the framework used in this study
(PDF) Principles for designing mathematical tasks that enhance
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A research framework for creative and imitative reasoning
This conceptual research framework addresses the problem of rote learning by characterising key aspects of the dominating imitative reasoning and the lack of creative mathematical reasoning found in empirical data. By relating reasoning to thinking processes, student competencies, and the learning milieu it explains origins and consequences of different reasoning types.
A research framework for creative and imitative reasoning
The intervention in the present study is based on a research framework on imitative and creative reasoning (Lithner, 2008) and uses eye tracking methodology to compare how repeated practice, over ...
Johan Lithner
A research framework for creative and imitative reasoning. J Lithner. Educational Studies in mathematics 67, 255-276, 2008. 1102: 2008: ... Principles for designing mathematical tasks that enhance imitative and creative reasoning. J Lithner. Zdm 49 (6), 937-949, 2017. 226: 2017:
A research framework for creative and imitative reasoning
This conceptual research framework addresses the problem of rote learn- ing by characterising key aspects of the dominating imitative reasoning and the lack of creative mathematical reasoning found in empirical data. By relating reasoning to thinking processes, student competencies, and the learning milieu it explains origins and consequences ...
Creative Mathematical Reasoning: Does Need for Cognition Matter?
A large portion of mathematics education centers heavily around imitative reasoning and rote learning, raising concerns about students' lack of deeper and conceptual understanding of mathematics. ... A research framework for creative and imitative reasoning. Educ. Stud. Math. 67 255-276. 10.1007/s10649-007-9104-2 [Google Scholar] Lithner J ...
Educational Studies in Mathematics
A research framework for creative and imitative reasoning J. Lithner 255 Indexed/abstracted in Academic Abstracts, Australian Education Index, British Education Index, Contents Pages in Education, Current Contents: Social & Behavioral Science, Current Index to Journals in
Creative reasoning more beneficial for cognitively weaker students
LEARNING BY IMITATIVE AND CREATIVE REASONING Starting off from research that points to the ineffi-ciency of rote learning, the LICR design research ... A Research Framework for Creative and Imitative Reasoning. Educational Studies in Mathematics, 67(3), 255-276. Primi, R., Ferrão, M. E., & Almeida, L. S. (2010). Fluid intelligence
Learning Mathematics by Creative or Imitative Reasoning
Abstract. This paper presents (1a) a research framework for analysing learning difficulties related to rote learning and imitative reasoning, (1b) research insights based on that framework, (2a) a framework for research and design of more efficient learning opportunities through creative reasoning and (2b) some related ongoing research ...
An emerging research framework for analyzing creative and imitative
A central problem in mathematics education is that we want students to become problem solvers, but even after 20 years of research and reform many students still do rote thinking. This thinking is ...
PDF Creative Mathematical Reasoning: Does Need for Cognition Matter?
Education Research Centre, Umeå University, Umeå, Sweden A large portion of mathematics education centers heavily around imitative reasoning and rote learning, raising concerns about students' lack of deeper and conceptual understanding of mathematics. To address these concerns, there has been a growing
Learning by Imitative and Creative Reasoning (LICR)
Research project The design research programme learning by imitative and creative reasoning (LICR) studies whether, how and why tasks and teaching that enhance creative reasoning lead to a more productive struggle and more efficient learning of mathematics than the common but inefficient task designs based on imitating given solution procedures.
Creative Mathematical Reasoning: Does Need for Cognition Matter?
In this framework rote learning and imitation-based mathematical reasoning are connected to algorithmic reasoning (AR). Learners recall and apply previously memorized solution methods or algorithms, but with no conceptual insight or reflection on why that method should be applied. AR is contrasted with creative mathematical reasoning (CMR ...
A Research Framework for Creative and Imitative Reasoning
Abstract This conceptual research framework addresses the problem of rote learn- ing by characterising key aspects of the dominating imitative reasoning and the lack of creative mathematical reasoning found in empirical data. By relating reasoning to thinking processes, student competencies, and the learning milieu it explains origins and ...
Learning Mathematics by Creative or Imitative Reasoning
Download Citation | Learning Mathematics by Creative or Imitative Reasoning | This paper presents (1a) a research framework for analysing learning difficulties related to rote learning and ...
Principles for designing mathematical tasks that enhance imitative and
The design research programme learning by imitative and creative reasoning (LICR) studies whether, how and why tasks and teaching that enhance creative reasoning lead to a more productive struggle and more efficient learning than the common but inefficient task designs based on imitating given solution procedures. The purpose of this paper is to synthesise the research outcomes determined to ...
PDF A study of the opportunities for creative reasoning in undergraduate
• Lithner, J. (2008). A research framework for creative and imitative reasoning. Educational Studies in Mathematics, 67, 255-276. • Pointon, A., and C. Sangwin (2003). An analysis of undergraduate core material in the light of hand-held computer algebra systems, International Journal of Mathematical Education in Science and
Investigating algorithmic and creative reasoning strategies by eye
Imitative teaching and learning approaches have been dominating in mathematics education. Although more creative approaches (e.g. problem-based learning) have been proposed and implemented, a main challenge of mathematics education research is to document robust links between teaching, tasks, student activities and learning. This study investigates one aspect of such links, by contrasting ...
PDF Learning Mathematics by Creative or Imitative Reasoning
Abstract This paper presents (1a) a research framework for analysing learning difficulties related to rote learning and imitative reasoning, (1b) research insights based on that framework, (2a) a framework for research and design of more efficient learning opportunities through creative reasoning and (2b) some related ongoing research.
ICT-supported problem solving and collaborative creative reasoning
The design research programme learning by imitative and creative reasoning (LICR) studies whether, how and why tasks and teaching that enhance creative reasoning lead to a more ... This conceptual research framework addresses the problem of rote learning by characterising key aspects of the dominating imitative reasoning and the lack of ...
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This conceptual research framework addresses the problem of rote learning by characterising key aspects of the dominating imitative reasoning and the lack of creative mathematical reasoning found in empirical data. By relating reasoning to thinking processes, student competencies, and the learning milieu it explains origins and consequences of different reasoning types.
The intervention in the present study is based on a research framework on imitative and creative reasoning (Lithner, 2008) and uses eye tracking methodology to compare how repeated practice, over ...
A research framework for creative and imitative reasoning. J Lithner. Educational Studies in mathematics 67, 255-276, 2008. 1102: 2008: ... Principles for designing mathematical tasks that enhance imitative and creative reasoning. J Lithner. Zdm 49 (6), 937-949, 2017. 226: 2017:
This conceptual research framework addresses the problem of rote learn- ing by characterising key aspects of the dominating imitative reasoning and the lack of creative mathematical reasoning found in empirical data. By relating reasoning to thinking processes, student competencies, and the learning milieu it explains origins and consequences ...
A large portion of mathematics education centers heavily around imitative reasoning and rote learning, raising concerns about students' lack of deeper and conceptual understanding of mathematics. ... A research framework for creative and imitative reasoning. Educ. Stud. Math. 67 255-276. 10.1007/s10649-007-9104-2 [Google Scholar] Lithner J ...
A research framework for creative and imitative reasoning J. Lithner 255 Indexed/abstracted in Academic Abstracts, Australian Education Index, British Education Index, Contents Pages in Education, Current Contents: Social & Behavioral Science, Current Index to Journals in
LEARNING BY IMITATIVE AND CREATIVE REASONING Starting off from research that points to the ineffi-ciency of rote learning, the LICR design research ... A Research Framework for Creative and Imitative Reasoning. Educational Studies in Mathematics, 67(3), 255-276. Primi, R., Ferrão, M. E., & Almeida, L. S. (2010). Fluid intelligence
Abstract. This paper presents (1a) a research framework for analysing learning difficulties related to rote learning and imitative reasoning, (1b) research insights based on that framework, (2a) a framework for research and design of more efficient learning opportunities through creative reasoning and (2b) some related ongoing research ...
A central problem in mathematics education is that we want students to become problem solvers, but even after 20 years of research and reform many students still do rote thinking. This thinking is ...
Education Research Centre, Umeå University, Umeå, Sweden A large portion of mathematics education centers heavily around imitative reasoning and rote learning, raising concerns about students' lack of deeper and conceptual understanding of mathematics. To address these concerns, there has been a growing
Research project The design research programme learning by imitative and creative reasoning (LICR) studies whether, how and why tasks and teaching that enhance creative reasoning lead to a more productive struggle and more efficient learning of mathematics than the common but inefficient task designs based on imitating given solution procedures.
In this framework rote learning and imitation-based mathematical reasoning are connected to algorithmic reasoning (AR). Learners recall and apply previously memorized solution methods or algorithms, but with no conceptual insight or reflection on why that method should be applied. AR is contrasted with creative mathematical reasoning (CMR ...
Abstract This conceptual research framework addresses the problem of rote learn- ing by characterising key aspects of the dominating imitative reasoning and the lack of creative mathematical reasoning found in empirical data. By relating reasoning to thinking processes, student competencies, and the learning milieu it explains origins and ...
Download Citation | Learning Mathematics by Creative or Imitative Reasoning | This paper presents (1a) a research framework for analysing learning difficulties related to rote learning and ...
The design research programme learning by imitative and creative reasoning (LICR) studies whether, how and why tasks and teaching that enhance creative reasoning lead to a more productive struggle and more efficient learning than the common but inefficient task designs based on imitating given solution procedures. The purpose of this paper is to synthesise the research outcomes determined to ...
• Lithner, J. (2008). A research framework for creative and imitative reasoning. Educational Studies in Mathematics, 67, 255-276. • Pointon, A., and C. Sangwin (2003). An analysis of undergraduate core material in the light of hand-held computer algebra systems, International Journal of Mathematical Education in Science and
Imitative teaching and learning approaches have been dominating in mathematics education. Although more creative approaches (e.g. problem-based learning) have been proposed and implemented, a main challenge of mathematics education research is to document robust links between teaching, tasks, student activities and learning. This study investigates one aspect of such links, by contrasting ...
Abstract This paper presents (1a) a research framework for analysing learning difficulties related to rote learning and imitative reasoning, (1b) research insights based on that framework, (2a) a framework for research and design of more efficient learning opportunities through creative reasoning and (2b) some related ongoing research.
The design research programme learning by imitative and creative reasoning (LICR) studies whether, how and why tasks and teaching that enhance creative reasoning lead to a more ... This conceptual research framework addresses the problem of rote learning by characterising key aspects of the dominating imitative reasoning and the lack of ...