Number Sense

Nurturing Multiplicative Reasoning in Students with Learning Disabilities in a Computerized Conceptual-modeling Environment (NMRSD-CCME)

The purpose of this project is to create a research-based model of how students with learning disabilities (LDs) develop multiplicative reasoning via reform-oriented pedagogy; convert the model into a computer system that dynamically models every students’ evolving conceptions and recommends tasks to promote their advancement to higher level, standard-based multiplicative structures and operations; and study how this tool impacts student outcomes.

Project Email: 
Lead Organization(s): 
Award Number: 
0822296
Funding Period: 
Fri, 08/01/2008 to Wed, 07/31/2013
Project Evaluator: 
Dr. C. Brown
Full Description: 

Math Pathways and Pitfalls: Capturing What Works for Anytime Anyplace Professional Development

Math Pathways & Pitfalls lessons for students boost mathematics achievement for diverse students, including English Learners, English Proficient students, and Latino students. This project develops modules that increase teachers’ capacity to employ the effective and equitable principles of practice embodied by Math Pathways & Pitfalls and apply these practices to any mathematics lesson. This four-year project develops, field tests, and evaluates 10 online professional development modules.

Lead Organization(s): 
Award Number: 
0918834
Funding Period: 
Tue, 09/15/2009 to Fri, 08/31/2012
Full Description: 

Researchers and developers at WestEd are developing, field-testing, and evaluating ten online professional development modules anchored in research-based teaching principles and achievement-boosting mathematics materials. The modules provide interactive learning opportunities featuring real classroom video demonstrations, simulations, and scaffolded implementation. The professional development module development builds on the Math Pathways and Pitfalls instructional modules for elementary and middle school students developed with NSF support. The professional development provided through the use of these modules is web-based (rather than face-to-face), is provided in chunks during the school year and immediately applied in the classroom (rather than summer professional development and school year application), and explicitly models ways to apply key teaching principles to regular mathematics lessons (rather than expecting teachers to extract and apply principles spontaneously).

The project studies the impact of the modules on teaching practice with an experimental design that involves 20 treatment teachers and 20 control teachers. Data are gathered from teacher questionnaires, classroom observations, and post-observation interviews.

A Study of the Struggling Learner's Knowledge and Development for Number and Operation

This project targets first- and second-grade children who struggle to develop a deeper understanding of the mathematical strand of number and operation. The research team will (a) identify the various specific cognitive obstacles of first- and second-grade students who are struggling in number and operation, and (b) explore how instructional tasks designed to address specific cognitive obstacles affect the learning trajectory of struggling learners in number and operation.

Lead Organization(s): 
Award Number: 
0918060
Funding Period: 
Tue, 09/01/2009 to Fri, 08/31/2012
Project Evaluator: 
Dr. Jeff Barrett

Evaluation of the Cognitive, Psychometric, and Instructional Affordances of Curriculum-embedded Assessments: A Comprehensive Validity-based Approach

This project’s overarching goal is to evaluate the assessment components embedded within two NSF-supported mathematics curricula: Everyday Mathematics and Math Trailblazers. The investigators will apply a comprehensive validity perspective that integrates a variety of empirical evidence regarding the cognitive, psychometric, and instructional affordances of multiple assessments embedded in these curricula as part of their overall instructional design.

Partner Organization(s): 
Award Number: 
0732090
Funding Period: 
Tue, 01/01/2008 to Mon, 12/31/2012
Project Evaluator: 
James Minstrell

Creation and Dissemination of Upper-elementary Mathematics Assessment Modules

This project has constructed, pilot tested, validated, and is now disseminating assessments of student achievement for use in upper elementary grades.
Lead Organization(s): 
Award Number: 
0831450
Funding Period: 
Fri, 05/01/2009 to Mon, 04/30/2012
Full Description: 
This project has constructed, pilot tested, validated, and is now disseminating assessments of student achievement for use in upper elementary grades. There are four equivalent forms for each of the fourth and fifth grades, with each form covering (1) number and operations, (2) pre-algebra and algebra, and (3) geometry and measurement. Items are based in the literature on student's cognitive growth and are meant to:
  • Represent central ideas in the subject matter;
  • Focus on the meaning of facts and procedures; and
  • Require more complex responses than traditional multiple-choice problems. 
These forms and associated technical materials can be accessed at: http://cepr.harvard.edu/ncte-student-assessments

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