Middle school students’ generalizations about properties of geometric transformations in a dynamic geometry environment

2019 ◽  
Vol 55 ◽  
pp. 100703 ◽  
Author(s):  
Xiangquan Yao ◽  
Azita Manouchehri
2020 ◽  
Vol 10 (6) ◽  
pp. 164
Author(s):  
Xiangquan Yao ◽  
Azita Manouchehri

The relationship between teacher interventions and students’ mathematical thinking has been the subject of inquiry for quite some time. Using the Pirie–Kieren theory for dynamic growth in mathematical understanding, this study documents teacher interventions that support students’ growth toward developing a general understanding of a mathematical idea in a designed learning environment. By studying the interactions of seven middle school students and the teacher-researcher working on a two-week unit on geometric transformations within a dynamic geometry environment, this study identified nine major categories of teacher interventions that support and extend students’ investigations of mathematical ideas around geometric transformations. The typology of teacher interventions reported in this study provides a cognition-based framework for teacher moves that extend and advance students’ mathematical understanding.


2017 ◽  
Vol 8 (3) ◽  
pp. 209-223
Author(s):  
Elizabeth Davies-Mercier ◽  
Michelle W. Woodbridge ◽  
W. Carl Sumi ◽  
S. Patrick Thornton ◽  
Katrina D. Roundfield ◽  
...  

2014 ◽  
Author(s):  
Jennifer L. Engelland ◽  
Renee M. Tobin ◽  
Adena B. Meyers ◽  
Brenda J. Huber ◽  
W. Joel Schneider ◽  
...  

2009 ◽  
Author(s):  
Ji-Geun Kim ◽  
Yejin Lee ◽  
Bo-Ra Song ◽  
Hyunah Lee ◽  
Jung Eun Hwang

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