Hypothetical Learning Trajectories: A Special Issue of Mathematical Thinking and LearningDouglas H. Clements, Julie Sarama Routledge, 6 Des 2012 - 184 halaman The purpose of this special issue is to present several research perspectives on learning trajectories with the intention of encouraging the broader community to reflect on, better define, adopt, adapt, or challenge the concept. The issue begins by briefly introducing learning trajectories. The remaining articles provide elaboration, examples, and discussion of the construct. They purposefully are intended to be illustrative, exploratory, and provocative with regard to learning trajectories construct; they are not a set of verification studies. |
Isi
| 81 | |
An Elaboration of the Hypothetical Learning Trajectory | 91 |
Local Instruction Theories as Means of Support for Teachers in Reform Mathematics Education | 105 |
The Case of Commensurate Fractions | 129 |
A Learning Trajectory | 163 |
Applying CognitionBased Assessment to Elementary School Students Development of Understanding of Area and Volume Measurement | 185 |
Evolving Communities of MindIn Which Development Involves Several Interacting and Simultaneously Developing Strands | 205 |
Comments on the Use of Learning Trajectories in Curriculum Development and Research | 227 |
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Hypothetical Learning Trajectories Douglas H. Clements,Julie Sarama,Lyn D. English Pratinjau tidak tersedia - 2004 |
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abstraction activity-effect relationship approach arrays assessment Barb Baroody Battista big idea Carla child classroom Clements Cobb cognitive commensurate fractions composite units construct constructivist counting cubes curriculum developmental progression equi-partitioning scheme example figures fill find findings first fit five framework Freudenthal goal grade Gravemeijer hypothetical learning trajectory instruction theory instructional activities instructional design instructional sequence iterating Jason Journal for Research knowledge Laura Lawrence Erlbaum Associates learners learning process Lesh and Yoon math mathematical thinking mathematics education mental models model-eliciting activities modeling perspectives NCTM operations partitive fractional scheme pattern blocks perspective Piaget Picture Maker pieces pointing Precomposer procedures productive mathematical Protocol Protocol II pulled quilt recursive partitioning reflection reform mathematics Research in Mathematics Sarama scores Shape Composer significant Simon Smurf specific squares Steffe strategies structure teacher teaching episode teaching experiment thinking and learning tion topic Tzur understanding unit stick Yoon this issue