TY - CHAP
T1 - From Exploration to Proof Production
AU - Hsieh, Feng Jui
AU - Horng, Wang Shian
AU - Shy, Haw Yaw
N1 - Publisher Copyright:
© 2011, Springer Science+Business Media B.V.
PY - 2012
Y1 - 2012
N2 - This chapter focuses on four topics: how exploration, especially hands-on exploration with concrete materials, is integrated into the teaching of proof in Taiwan; different ways of interpreting exploration; exploration’s intrinsic features and value in the context of proving; and a proposed conceptual model, the ‘EP-spectrum’, for the relationships amongst exploration, problem-solving, proving and proof in the classroom. Furthermore, the chapter raises some ideas requiring future research, such as the primary factors contributing to the progression from exploration to proof production and the integration of exploration into the context of proving.
AB - This chapter focuses on four topics: how exploration, especially hands-on exploration with concrete materials, is integrated into the teaching of proof in Taiwan; different ways of interpreting exploration; exploration’s intrinsic features and value in the context of proving; and a proposed conceptual model, the ‘EP-spectrum’, for the relationships amongst exploration, problem-solving, proving and proof in the classroom. Furthermore, the chapter raises some ideas requiring future research, such as the primary factors contributing to the progression from exploration to proof production and the integration of exploration into the context of proving.
KW - Auxiliary Line
KW - Divergent Thinking
KW - Dynamic Geometric Software
KW - Exploration Stage
KW - Mathematics Textbook
UR - http://www.scopus.com/inward/record.url?scp=85056212027&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85056212027&partnerID=8YFLogxK
U2 - 10.1007/978-94-007-2129-6_12
DO - 10.1007/978-94-007-2129-6_12
M3 - Chapter
AN - SCOPUS:85056212027
T3 - New ICMI Study Series
SP - 279
EP - 303
BT - New ICMI Study Series
PB - Springer
ER -