Mathematics

Investigating the Effect of Professional Development, Mathematical Knowledge for Teaching, and Instruction on Student Outcomes

To meet College and Career-Ready standards in mathematics, classroom instruction must change dramatically.  As in past reform efforts, many look to professional development as a major force to propel this transformation, yet not enough is known about mathematics professional development programs that operate at scale in the United States. In this project, we evaluated one such program.

Lead Organization(s): 
Award Number: 
0918383
Funding Period: 
Tue, 09/01/2009 to Fri, 08/31/2012
Full Description: 

To meet College and Career-Ready standards in mathematics, classroom instruction must change dramatically.  As in past reform efforts, many look to professional development as a major force to propel this transformation, yet not enough is known about mathematics professional development programs that operate at scale in the United States. In this project, we evaluated one such program by randomly assigning 105 teachers to either an “as is” control group or to receive professional development designed to a) improve mathematical knowledge for teaching and b) help teachers revise their instruction to be more cognitively demanding and student-centered. We found positive impacts on teachers’ mathematical knowledge for teaching, but no effects on teaching or student outcomes, suggesting that a modest increment in mathematical knowledge may not by itself be sufficient to improve instruction or student outcomes.

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

Helping Teachers to Use and Students To Learn From Contrasting Examples: A Scale-up Study in Algebra I

Several small-scale experimental classroom studies Star and Rittle-Johnson demonstrate the value of comparison in mathematics learning: Students who learned by comparing and contrasting alternative solution methods made greater gains in conceptual knowledge, procedural knowledge, and flexibility than those who studied the same solution methods one at a time. This study will extend that prior work by developing, piloting, and then evaluating the impact of comparison on students' learning of mathematics in a full-year algebra course.

Lead Organization(s): 
Award Number: 
0814571
Funding Period: 
Mon, 09/15/2008 to Tue, 08/31/2010

Simulation and Modeling in Technology Education (SMTE)

This project develops and researches the academic potential of a hybrid instructional model that infuses computer simulations, modeling, and educational gaming into middle school technology education programs. These prototypical materials use 3-D simulations and educational gaming to support students’ learning of STEM content and skills through developing solutions to design challenges.

Project Email: 
Lead Organization(s): 
Award Number: 
0821965
Funding Period: 
Fri, 08/01/2008 to Sun, 07/31/2011
Project Evaluator: 
Dr. Deborah Hecht

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