The instrumental genesis process in future primary teachers using Dynamic Geometry Software

Author(s):  
Natalia Ruiz-López
2015 ◽  
pp. 383-405
Author(s):  
Milan Sherman

This chapter discusses how the use of Dynamic Geometry Software (DGS) can be used to support students' engagement with the Standards for Mathematical Practice as outlined in Common Core State Standards for Mathematics (CCSS-M). In particular, the aim of this chapter is to (1) describe what students' strategic use of appropriate tools might entail in a DGS environment, and (2) argue that for students to engage in these practices in a DGS environment, they must construct meaning for and with these tools in the process of instrumental genesis. Illustrative examples are provided from three secondary mathematics classrooms, and the chapter concludes with recommendations for future research and teacher education in this area.


Author(s):  
Milan Sherman

This chapter discusses how the use of Dynamic Geometry Software (DGS) can be used to support students’ engagement with the Standards for Mathematical Practice as outlined in Common Core State Standards for Mathematics (CCSS-M). In particular, the aim of this chapter is to (1) describe what students’ strategic use of appropriate tools might entail in a DGS environment, and (2) argue that for students to engage in these practices in a DGS environment, they must construct meaning for and with these tools in the process of instrumental genesis. Illustrative examples are provided from three secondary mathematics classrooms, and the chapter concludes with recommendations for future research and teacher education in this area.


2017 ◽  
Vol 2 (2) ◽  
pp. 179-194
Author(s):  
Eline Yanty Putri Nasution

The purpose of this study are to investigate and to describe the gain of students‘ spatial ability through Geometry teaching and learning by using a dynamic geometry software, Cabri 3D. This study was a quasi experimental research with not equivalent control group design. Direct instruction was implemented in control group otherwise Geometry teaching and learning with using Cabri 3D was implemented in experimental group. The population of this study are all of the eight grade of junior high school students in one of the SMP Negeri in Padangsidimpuan City. The sample of this study were two groups of eighth grade. The sample has been choosed with using purposif sample technique. The instruments of this study were spatial ability test, quationere, observation sheet and interview. The test was analysed quantitatively and non test was analyzed qualitatively in order to answer the  the hypotesa, the gain of students’ spatial ability who has studied and lerant with using Cabri 3D is better than direct instruction.


Author(s):  
Ana Kuzle

This case study examined the metacognitive processes of a preservice teacher when solving a nonroutine geometry problem in a dynamic geometry environment. The main purpose of the study was to uncover and investigate patterns of metacognitive processes and to understand what circumstances, situations, and interactions in a dynamic geometry environment promoted metacognitive behaviors. An adaptation of Schoenfeld’s (1981) model of episodes and executive decisions in mathematics problem solving, and the theory of instrumentation (Rabardel, 2001) was used to identify patterns of metacognitive processes in a dynamic geometry environment. During different phases of problem solving the participant engaged in different metacognitive behaviors whereas the dynamic geometry software supported strategies that are available and/or not available on paper and pen. The effectiveness of solution paths was dependent on the presence of managerial decisions, and well-orchestrated usage of different resources, both knowledge and technology. However, the results of the study call to question to which extent engagement in metacognitive behaviors is necessarily desirable or productive.


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