Researching and using progressions (trajectories) in mathematics education

Description

Acknowledgements -- List of figures and tables -- Notes on contributors -- Introduction / Dianne Siemon, Tasos Barkatsas and Rebecca Seah -- Knowing and building on what students know: the case of multiplicative -- Thinking / Dianne Siemon -- Learning trajectories in early mathematics education / Julie Sarama and Douglas H. Clements -- H lt : a lens on conceptual transition between mathematical "markers" / Ron Tzur -- Using digital diagnostic classroom assessments based on learning trajectories to drive instruction / Jere Confrey, William Mcgowan, Meetal Shah, Michael Belcher, Margaret Hennessey and Alan Maloney -- Researching mathematical reasoning: building evidence-based resources to support targeted teaching in the middle years / Dianne Siemon and Rosemary Callingham -- Reframing mathematical futures ii: developing students' algebraic -- Reasoning in the middle years / Marj Horne, Max Stephens and Lorraine Day -- A learning progression for geometric reasoning / Rebecca Seah and Marj Horne -- Statistics and probability: from research to the classroom / Rosemary Callingham, Jane Watson and Greg Oates -- Investigating mathematics students' motivations and perceptions / Tasos Barkatsas and Claudia Orellana -- Secondary students' mathematics education goal orientations / Tasos Barkatsas and Claudia Orellana -- Epilogue / Mike Askew.