TY - CHAP
T1 - Designing Mathematics Tasks
T2 - The Role of Tools
AU - Leung, Allen Y L
AU - Bolite-Frant, Janete
N1 - Publisher Copyright:
© Springer International Publishing Switzerland 2015.
PY - 2015
Y1 - 2015
N2 - This chapter concerns designing teaching/learning tasks that involve the use of tools in the mathematics classroom and consequently how, under such design, tools can mediate the representations and discourses of mathematical knowledge. The authors focus particularly on digital tools and how task design can be used to transform an artifact into a pedagogical instrument. Design considerations and heuristics are discussed to explore possible research directions in tool-based task design. In particular, the chapter exemplifies heuristics or principles (theoretical or pragmatic) for tool-based task design that are conducive to teaching and learning of mathematics, including epistemological, mathematical, representational, and pedagogical considerations of tool-based task design.
AB - This chapter concerns designing teaching/learning tasks that involve the use of tools in the mathematics classroom and consequently how, under such design, tools can mediate the representations and discourses of mathematical knowledge. The authors focus particularly on digital tools and how task design can be used to transform an artifact into a pedagogical instrument. Design considerations and heuristics are discussed to explore possible research directions in tool-based task design. In particular, the chapter exemplifies heuristics or principles (theoretical or pragmatic) for tool-based task design that are conducive to teaching and learning of mathematics, including epistemological, mathematical, representational, and pedagogical considerations of tool-based task design.
KW - Discourses
KW - Discrepancy potential
KW - Embodied theory
KW - Instrumental genesis
KW - Multiple representations
KW - Pragmatic and epistemic values
KW - Strategic feedback
KW - Tool of semiotic mediation
KW - Tool-based task design
KW - Utilization scheme for tools
UR - http://www.scopus.com/inward/record.url?scp=84978040144&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-09629-2_6
DO - 10.1007/978-3-319-09629-2_6
M3 - Chapter
AN - SCOPUS:84978040144
SN - 9783319096285
SN - 9783319363905
T3 - New ICMI Study Series
SP - 191
EP - 225
BT - Task Design In Mathematics Education
A2 - Watson, Anne
A2 - Ohtani, Minoru
PB - Springer Cham
ER -