Effective Programs in Elementary Mathematics: A Best-Evidence Synthesis

This article reviews research on the achievement outcomes of three types of approaches to improving elementary mathematics: mathematics curricula, computer-assisted instruction (CAI), and instructional process programs. Study inclusion requirements included use of a randomized or matched control group, a study duration of at least 12 weeks, and achievement measures not inherent to the experimental treatment. Eighty-seven studies met these criteria, of which 36 used random assignment to treatments. There was limited evidence supporting differential effects of various mathematics textbooks. Effects of CAI were moderate. The strongest positive effects were found for instructional process approaches such as forms of cooperative learning, classroom management and motivation programs, and supplemental tutoring programs. The review concludes that programs designed to change daily teaching practices appear to have more promise than those that deal primarily with curriculum or technology alone.

[1]  J. Easton A Multisite Cluster Randomized Trial of the Effects of CompassLearning Odyssey® Math on the Math Achievement of Selected Grade 4 Students in the Mid-Atlantic Region , 2009 .

[2]  Carol L. Tieso The Effects of Grouping Practices and Curricular Adjustments on Achievement , 2005 .

[4]  Jane A. Stallings,et al.  Effects of Instruction Based on the Madeline Hunter Model on Students' Achievement: Findings from a Follow-Through Project , 1986, The Elementary School Journal.

[5]  Lynn S. Fuchs,et al.  Explicitly Teaching for Transfer: Effects on Third-Grade Students' Mathematical Problem Solving. , 2003 .

[6]  Alice W. Ryan Meta-Analysis of Achievement Effects of Microcomputer Applications in Elementary Schools , 1991 .

[7]  Thomas L. Good,et al.  The Effects of Instructing Teachers About Good Teaching on the Mathematics Achievement of Fourth Grade Students1 , 1979 .

[8]  H. Freiberg From Tourists to Citizens in the Classroom. , 1996 .

[9]  Eileen Hannigan,et al.  Use of an Instructional Management System to Enhance Math Instruction of Gifted and Talented Students , 2004 .

[10]  Robert E. Slavin,et al.  Effects of Whole Class, Ability Grouped, and Individualized Instruction on Mathematics Achievement , 1985 .

[11]  DETECTING IMPACTS OF CURRICULAR DIFFERENCES IN ACHIEVEMENT TEST DATA , 1986 .

[12]  John W. Fantuzzo,et al.  An evaluation of reciprocal peer tutoring across elementary school settings , 1990 .

[13]  Lauren R. Heller,et al.  Effects of reciprocal peer tutoring on mathematics and school adjustment: A component analysis. , 1992 .

[14]  S. Glazerman Nonexperimental Replications of Social Experiments A Systematic Review Interim ReportDiscussion Paper , 2002 .

[15]  J. Woodward,et al.  The Effects of an Innovative Approach to Mathematics on Academically Low-Achieving Students in Inclusive Settings , 1997 .

[16]  L. Fuchs,et al.  Teaching Third Graders about Real‐Life Mathematical Problem Solving: A Randomized Controlled Study , 2006, The Elementary School Journal.

[17]  Jerry D. Pratton,et al.  The Effects of Active Participation on Student Learning , 1986 .

[18]  Richard Spicuzza,et al.  Effects of a Learning Information System on Mathematics Achievement and Classroom Structure , 2003 .

[19]  Donald P. Mys,et al.  Evaluation of Student Reading and Mathematics. WICAT Computer Managed Instructional Program, Salina Elementary School. November 1985 through June 1988. Bulletin No. 1345. , 1988 .

[20]  M. McKernan The effects of "Mathematics Their Way" and Chicago Math Project on mathematical applications and story problem strategies of second graders , 1992 .

[21]  Deborah Mary Sinkis A comparison of Chapter One student achievement with and without computer-assisted instruction , 1993 .

[22]  Thomas P. Carpenter,et al.  Children's Mathematics: Cognitively Guided Instruction , 1999 .

[23]  The ARC Center Tri-State Student Achievement Study , 2003 .

[24]  Rebecca F. Guy,et al.  The Impact of a Year of Computer Assisted Instruction on the Development of First Grade Learning Skills , 1998 .

[25]  Mark W. Lipsey,et al.  Practical Meta-Analysis , 2000 .

[26]  Elliot Aronson,et al.  Performance in the Interdependent Classroom: A Field Study1 , 1976 .

[27]  Yao-Ting Sung,et al.  Computer-assisted learning for mathematical problem solving , 2006, Comput. Educ..

[28]  Lynn S. Fuchs,et al.  Expanding Schema-Based Transfer Instruction to Help Third Graders Solve Real-Life Mathematical Problems , 2004 .

[29]  Heather C. Hill,et al.  Professional Development Standards and Practices in Elementary School Mathematics , 2004, The Elementary School Journal.

[30]  Simon Hooper Effects of Peer Interaction during Computer-Based Mathematics Instruction. , 1992 .

[31]  David E. Hawley,et al.  Costs, Effects, and Utility of Microcomputer Assisted Instruction in the Classroom , 1990 .

[32]  Steven Curtis Mills Implementing integrated learning systems in elementary classrooms , 1997 .

[33]  Chen-Lin C. Kulik,et al.  Effectiveness of computer-based instruction: An updated analysis. , 1991 .

[34]  Annemarie S. Palincsar,et al.  Group processes in the classroom. , 1996 .

[35]  David E. Hawley Costs, Effects, and Utility of Microcomputer-Assisted Instruction. Technical Report, Number 1. , 1986 .

[36]  Sarah Guckenburg,et al.  Measuring how benchmark assessments affect student achievement , 2007 .

[37]  Paul A. McDermott,et al.  Computerized Vs. Conventional Remedial Instruction for Learning-Disabled Pupils , 1983 .

[38]  Sheila S. Graybeal,et al.  Peer Work Groups in Elementary Schools , 1985, American Journal of Education.

[39]  R. Slavin,et al.  Cooperative learning in schools , 2001 .

[40]  Robert E. Slavin,et al.  One Million Children: Success for All , 2000 .

[41]  Robert J. Stevens,et al.  Cooperative Integrated Reading and Composition: Two Field Experiments. , 1987 .

[42]  Robert E. Slavin,et al.  Perspectives on Evidence-Based Research in Education—What Works? Issues in Synthesizing Educational Program Evaluations , 2008 .

[43]  Jonathan D. Becker,et al.  West Virginia Story: Achievement Gains from a Statewide Comprehensive Instructional Technology Program , 1999 .

[44]  Mark Brian Jamison The effects of linking classroom instruction in mathematics to a prescriptive delivery of lessons on an integrated learning system , 2000 .

[45]  Janet P. Bedell Effects of reading and mathematics software formats on elementary students' achievement , 1998 .

[46]  Robert J. Stevens,et al.  Effects of a Cooperative Learning Approach in Reading and Writing on Academically Handicapped and Nonhandicapped Students , 1995, The Elementary School Journal.

[47]  Xiaoxia Ai District Mathematics Plan Evaluation: 2001-2002 Evaluation Report. , 2002 .

[48]  C. D. Mercer,et al.  Teaching Students with Learning Problems in Math to Acquire, Understand, and Apply Basic Math Facts , 1992 .

[49]  Robert E. Slavin,et al.  Combining Cooperative Learning and Individualized Instruction: Effects on Student Mathematics Achievement, Attitudes, and Behaviors , 1984, The Elementary School Journal.

[50]  David M. Podell,et al.  CAI and the development of automaticity in mathematics skills in students with and without mild mental handicaps , 1994 .

[51]  Robert E. Slavin,et al.  Ability Grouping and Student Achievement in Elementary Schools: A Best-Evidence Synthesis , 1986 .

[52]  Zemira R. Mevarech,et al.  Effects of Computer-Assisted Mathematics Instruction on Disadvantaged Pupils' Cognitive and Affective Development , 1985 .

[53]  T. P. Carpenter,et al.  Using Knowledge of Children’s Mathematics Thinking in Classroom Teaching: An Experimental Study , 1989 .

[54]  Lynn S. Fuchs,et al.  Effects of Alternative Goal Structures within Curriculum-Based Measurement , 1989 .

[55]  Jane A. Stallings,et al.  Program Implementation and Student Achievement in a Four-Year Madeline Hunter Follow-Through Project , 1986, The Elementary School Journal.

[56]  Robert D. Sherwood The Development and Preliminary Evaluation of Anchored Instruction Environments for Developing Mathematical and Scientific Thinking. , 1991 .

[57]  K. McGilly,et al.  Classroom lessons: Integrating cognitive theory and classroom practice. , 1994 .

[58]  A. Vanderheyden,et al.  Using Curriculum-Based Assessment and Curriculum-Based Measurement to Guide Elementary Mathematics Instruction: Effect on Individual and Group Accountability Scores , 2005 .

[59]  Wolfgang Viechtbauer,et al.  Publication bias in meta-analysis: Prevention, assessment and adjustments , 2007, Psychometrika.

[60]  Herbert J. Walberg,et al.  The effects of computers on learning , 1992 .

[61]  A. Ellington A Meta-Analysis of the Effects of Calculators on Students' Achievement and Attitude Levels in Precollege Mathematics Classes , 2003 .

[62]  William M. Carroll Mental Computation of Students in a Reform-Based Mathematics Curriculum , 1996 .

[63]  K. Opuni The Effectiveness of the Consistency Management & Cooperative Discipline (CMCD) Model as a Student Empowerment and Achievement Enhancer: The Experiences of Two K-12 Inner-City School Systems. , 2006 .

[64]  P. Cole,et al.  Effect of Cognitive Entry Behavior, Mastery Level, and Information about Criterion on Third Graders' Mastery of Number Concepts. , 1988 .

[65]  William M. Carroll Invented Computational Procedures of Students in a Standards-Based Curriculum , 1999 .

[66]  Rose M. Allinder,et al.  Effects of Acceptability on Teachers' Implementation of Curriculum-Based Measurement and Student Achievement in Mathematics Computation , 1997 .

[67]  James B. Schreiber,et al.  Efficacy of educational technology in elementary and secondary classrooms: a meta-analysis of the research literature from 1992--2002 , 2002 .

[68]  Lynn S. Fuchs,et al.  Enhancing First-Grade Children's Mathematical Development with Peer-Assisted Learning Strategies , 2002 .

[69]  William M. Carroll Use of invented algorithms by second graders in a reform mathematics curriculum , 1996 .

[70]  STANDARDS, ASSESSMENTS—AND WHAT ELSE? THE ESSENTIAL ELEMENTS OF STANDARDS-BASED SCHOOL IMPROVEMENT1 , 2000 .

[71]  Judith Mary Flowers A study of proportional reasoning as it relates to the development of multiplication concepts. , 1998 .

[72]  C. Thomas Holmes,et al.  A Controlled Evaluation of a Total School Improvement Process, School Renaissance. , 2003 .

[73]  M. Cardelle-Elawar Effects of metacognitive instruction on low achievers in mathematics problems , 1995 .

[74]  Susan B. Empson,et al.  A Longitudinal Study of Learning to Use Children's Thinking in Mathematics Instruction , 1996, Journal for Research in Mathematics Education.

[75]  Stephen R. Hotard,et al.  Computer Assisted Instruction as an Enhancer of Remediation. , 1983 .

[76]  Thomas R. Post,et al.  Using Microcomputers With Fourth-Grade Students to Reinforce Arithmetic Skills. , 1985 .

[77]  Harold F. O'Neil,et al.  Meta-analytic studies of findings on computer-based instruction. , 1994 .

[78]  Catherine Alifrangis An integrated learning system in an elementary school: implementation, attitudes, and results , 1991 .

[79]  Larry Condelli,et al.  A Review of the Literature in Adult Numeracy: Research and Conceptual Issues. , 2006 .

[80]  Patrick Suppes,et al.  Evaluation of Computer-Assisted Instruction in Elementary Mathematics for Hearing-Impaired Students. , 1973 .

[81]  Joseph H. Birch The effects of the Delaware Challenge Grant Program on the standardized reading and mathematics test scores of second and third graders in the Caesar Rodney School District , 2002 .

[82]  Craig Nicholls,et al.  Experimental Methods and Results in a Study of PBS TeacherLine Math Courses. , 2006 .

[83]  Rwey-Lin Shiah The Effects of Computer-Assisted Instruction on the Mathematical Problem Solving of Students With Learning Disabilities , 1994 .

[84]  F. E. Fischer,et al.  A Part-Part-Whole Curriculum for Teaching Number in the Kindergarten. , 1990 .

[85]  Asha K. Jitendra,et al.  Effects of mathematical word problem solving by students at risk or with mild disabilities , 1998 .

[86]  Iheanacho I. Orabuchi Effects of Using Interactive CAI on Primary Grade Students' Higher-Order Thinking Skills: Inferences, Generalizations, and Math Problem Solving. , 1992 .

[87]  Asha K. Jitendra,et al.  The Effects of Schema-Based Instruction on the Mathematical Word-Problem-Solving Performance of Students with Learning Disabilities , 1996, Journal of learning disabilities.

[88]  D. Keaster,et al.  at the annual meeting of the Mid-South , 1988 .

[89]  M. Cole,et al.  Mind in Society , 2005 .

[90]  Linda A. Meyer Long-Term Academic Effects of the Direct Instruction Project Follow Through , 1984, The Elementary School Journal.

[91]  Thomas R. Guskey,et al.  Synthesis of Research on the Effects of Mastery Learning in Elementary and Secondary Classrooms , 1986 .

[92]  Vicki Carpenter Kirk,et al.  An Investigation of the Impact of Integrated Learning System Use on Mathematics Achievement of Elementary Students. , 2003 .

[93]  R. Gersten,et al.  A Synthesis of Empirical Research on Teaching Mathematics to Low-Achieving Students , 2002, The Elementary School Journal.

[94]  Henry Jay Becker,et al.  A model for improving the performance of integrated learning systems: mixed individualized/group/whole class lessons, cooperative learning, and organizing time for teacher-led remediation of small groups , 1992 .

[95]  Lynn S. Fuchs,et al.  Enhancing third-grade student' mathematical problem solving with self-regulated learning strategies. , 2003 .

[96]  J. Hiebert,et al.  Instructional Tasks, Classroom Discourse, and Students’ Learning in Second-Grade Arithmetic , 1993 .

[97]  D. Bolt,et al.  Effect of Technology-Enhanced Continuous Progress Monitoring on Math Achievement , 2007 .

[98]  Douglas A. Grouws,et al.  The Missouri Mathematics Effectiveness Project: An experimental study in fourth-grade classrooms. , 1979 .

[99]  H. Miller Quantitative analyses of student outcome measures , 1997 .

[100]  C. Bereiter,et al.  A constructive look at follow through results , 1981 .

[101]  Direct Instruction in Math Word Problems: Students with Learning Disabilities , 1991, Exceptional children.

[102]  Robert D. Hess,et al.  School-Relevant Effects of Educational Uses of Microcomputers in Kindergarten Classrooms and Homes , 1987 .

[103]  Paul Cobb,et al.  Assessment of a problem-centered second-grade mathematics project. , 1991 .

[104]  Stuart O. Yager,et al.  The Impact of Group Processing on Achievement in Cooperative Learning Groups , 1986 .

[105]  Bruce B. Frey,et al.  Heuristic Training and Performance in Elementary Mathematical Problem Solving , 2002 .

[106]  Jim Craig,et al.  Assessing the Relationship Between Questioning and Understanding to Improve Learning and Thinking (QUILT) and Student Achievement in Mathematics: A Pilot Study , 2005 .

[107]  David W. Johnson,et al.  The Effects of Cooperative and Individualized Instruction on Student Attitudes and Achievement , 1978 .

[108]  Marley W. Watkins,et al.  Microcomputer-Based Math Instruction with First-Grade Students , 1986 .

[109]  Karen C. Fuson,et al.  Achievement Results for Second and Third Graders Using the Standards-Based Curriculum Everyday Mathematics , 2000 .

[110]  Robert E. Slavin,et al.  Effects of Cooperative Learning On the Social Acceptance of Mainstreamed Academically Handicapped Students , 1983 .

[111]  John W. Fantuzzo,et al.  Reciprocal peer tutoring: An analysis of "teacher" and "student" interactions as a function of training and experience. , 1997 .

[112]  J. Ysseldyke,et al.  Effects of Curriculum-Based Monitoring on Classroom Instruction and Math Achievement , 2001 .

[113]  The relationship of computer-assisted instruction to mathematics achievement, student cognitive styles, and student and teacher attitudes , 1990 .

[114]  Henry S. Kepner,et al.  ARITHMETIC FROM A PROBLEM-SOLVING PERSPECTIVE: AN URBAN IMPLEMENTATION , 1993 .

[115]  Roy B. Clariana,et al.  Differential achievement gains for mathematics computation, concepts, and applications with an integrated learning system , 1996 .

[116]  Thomas A. Brush,et al.  The effects on student achievement and attitudes when using integrated learning systems with cooperative pairs , 1997 .

[117]  Blaine R. Worthen,et al.  The impact of integrated learning system implementation on student outcomes: Implications for research and evaluation , 1994 .

[118]  Chen-Lin C. Kulik,et al.  Effectiveness of Computer-Based Education in Secondary Schools. , 1985 .

[119]  Lynn S. Fuchs,et al.  Effecting Superior Achievement Using Curriculum-based Measurement: The Importance of Individual Progress Monitoring. , 2000 .

[120]  Robert E. Slavin,et al.  Best-Evidence Synthesis: An Alternative to Meta-Analytic and Traditional Reviews , 1986 .

[121]  Harold H. Wenglinsky Does It Compute? The Relationship between Educational Technology and Student Achievement in Mathematics. , 1998 .

[122]  Lynn S. Fuchs,et al.  Enhancing Kindergartners' Mathematical Development: Effects of Peer-Assisted Learning Strategies , 2001, The Elementary School Journal.

[123]  Alice Chiang,et al.  Demonstration of the Use of Computer-Assisted Instruction with Handicapped Children. Final Report. , 1978 .

[124]  Lynn S. Fuchs,et al.  Enhancing mathematical problem solving among third-grade students with schema-based instruction , 2004 .

[125]  Lynn S. Fuchs,et al.  Effects of Curriculum-Based Measurement and Consultation on Teacher Planning and Student Achievement in Mathematics Operations , 1991 .

[126]  E. Vockell,et al.  An Investigation of the Relationship between Integrated Learning Systems and Academic Achievement , 1999 .

[127]  Alan Zollman Effects of Computer-Assisted Instruction on Reading and Mathematics Achievement of Chapter 1 Students. , 1989 .

[128]  Susan Louise Quest Manuel THE RELATIONSHIP BETWEEN SUPPLEMENTAL COMPUTER ASSISTED MATHEMATICS INSTRUCTION AND STUDENT ACHIEVEMENT , 1987 .

[129]  David A. Gilman,et al.  The Effects of Computer-Assisted Instruction on Achievement, Problem-Solving Skills, Computer Skills, and Attitude. A Study of an Experimental Program at Marrs Elementary School, Mount Vernon, Indiana. , 1988 .

[130]  Robert J. Wright,et al.  The academic impact of classroom computer usage upon middle-class primary grade level elementary school children , 1996 .

[131]  Xitao Fan,et al.  The Contribution of the Responsive Classroom Approach on Children's Academic Achievement: Results from a Three Year Longitudinal Study. , 2007 .

[132]  James E. Ysseldyke,et al.  Using a Curriculum-Based Instructional Management System to Enhance Math Achievement in Urban Schools , 2003 .

[133]  Automatization of Mathematics Skills via Computer-Assisted Instruction among Students with Mild Mental Handicaps. , 1992 .

[134]  J. H. McMillan Annual Meeting of the American Educational Research , 2001 .

[135]  E. Kroesbergen,et al.  Mathematics Interventions for Children with Special Educational Needs , 2003 .

[136]  Anthony S. Bryk,et al.  Hierarchical Linear Models: Applications and Data Analysis Methods , 1992 .

[137]  Liora Linchevski,et al.  Tell me with whom you're learning, and I'll tell you how much you've learned: Mixed-ability versus same-ability grouping in mathematics , 1998 .

[138]  Achievement, placement, and services: Middle school benefits of Classwide Peer Tutoring used at the elementary school. , 1993 .

[139]  Jean Underwood,et al.  Are integrated learning systems effective learning support tools? , 1996, Comput. Educ..

[140]  Sarah M. Butzin,et al.  Integrating Computers Into the Elementary School Curriculum , 1993 .

[141]  Ellen B. Susman,et al.  Cooperative Learning: A Review of Factors That Increase the Effectiveness of Cooperative Computer-Based Instruction , 1998 .

[142]  Diana Lambdin Kroll,et al.  An Overview of Research on Cooperative Learning Related to Mathematics. , 1991 .

[143]  Mark W. Lipsey,et al.  Empirical Benchmarks for Interpreting Effect Sizes in Research , 2008 .

[144]  Douglas H. Clements,et al.  The Effects of LOGO on Children's Conceptualizations of Angle and Polygons , 1990 .

[145]  Amalya Nattiv Helping Behaviors and Math Achievement Gain of Students Using Cooperative Learning , 1994, The Elementary School Journal.

[146]  Heather C. Hill,et al.  Effects of Teachers’ Mathematical Knowledge for Teaching on Student Achievement , 2005 .

[147]  Lynnette Taylor,et al.  An integrated learning system and its effect on examination performance in mathematics , 1999, Comput. Educ..

[148]  Penelope L. Peterson,et al.  Ability × Treatment Interaction Effects on Children's Learning in Large-group and Small-group Approaches , 1981 .

[149]  Henry Jay Becker,et al.  Mindless or mindful use of integrated learning systems , 1994 .

[150]  Lynn S. Fuchs,et al.  Mathematics Performance Assessment in the Classroom: Effects on Teacher Planning and Student Problem Solving , 1999 .

[151]  Claire M. Fletcher-Flinn,et al.  The Efficacy of Computer Assisted Instruction (CAI): A Meta-Analysis , 1995 .

[152]  Lorin W. Anderson,et al.  Mastery learning in classroom instruction , 1975 .

[153]  Steven M. Ross,et al.  The Effect of School Renaissance on Student Achievement in Two Mississippi School Districts. , 2005 .

[154]  Gerd Gigerenzer,et al.  Do Studies of Statistical Power Have an Effect on the Power of Studies? , 2004 .

[155]  Richard E. Clark,et al.  Learning from media : arguments, analysis, and evidence , 2001 .

[156]  O. L. Dorsey,et al.  Automated Learning, Individual Instruction and Computers in the Small School Classroom. , 1982 .

[157]  J. Culpepper National Center for Educational Statistics , 2007 .

[158]  A. King Verbal Interaction and Problem-Solving within Computer-Assisted Cooperative Learning Groups , 1989 .

[159]  L. Fuchs,et al.  Enhancing Students' Helping Behavior during Peer-Mediated Instruction with Conceptual Mathematical Explanations , 1997, The Elementary School Journal.

[160]  Christopher F. Sharpley,et al.  An Examination of the Effectiveness of a Cross-age Tutoring Program in Mathematics for Elementary School Children , 1983 .

[161]  Robert E. Slavin,et al.  MathWings: Effects on Student Mathematics Performance. Report No. 39. , 1999 .

[162]  Y. Lou,et al.  Small Group and Individual Learning with Technology: A Meta-Analysis , 2001 .

[163]  Robert J. Stevens,et al.  The Cooperative Elementary School: Effects on Students’ Achievement, Attitudes, and Social Relations , 1995 .

[164]  Herbert Alan Sloan Direct instruction in fourth and fifth-grade classrooms , 1993 .

[165]  J. Ysseldyke,et al.  Use of a Progress Monitoring System to Enable Teachers to Differentiate Mathematics Instruction , 2007 .

[166]  J. Fantuzzo,et al.  Effects of Parent Involvement in Isolation or in Combination with Peer Tutoring on Student Self-Concept and Mathematics Achievement. , 1995 .

[167]  J. Moss Developing Children's Understanding of the Rational Numbers: A New Model and an Experimental Curriculum , 1999 .

[168]  M. Beirne-Smith Peer tutoring in arithmetic for children with learning disabilities. , 1991, Exceptional children.

[169]  Nira Hativa Computer-Based Drill and Practice in Arithmetic: Widening the Gap Between High- and Low-Achieving Students , 1988 .

[170]  Amanda L. Rust A Study of the Benefits of Math Manipulatives versus Standard Curriculum in the Comprehension of Mathematical Concepts. , 1999 .

[171]  Marjorie Ragosta,et al.  Computer-Assisted Instruction and Compensatory Education: A Longitudinal Analysis. , 1983 .

[172]  Henry Jay Becker,et al.  Computer-Based Integrated Learning Systems in the Elementary and Middle Grades: A Critical Review and Synthesis of Evaluation Reports , 1992 .

[173]  Aimee Joy Ellington Effects of hand-held calculators on precollege students in mathematics classes: A meta-analysis , 2000 .

[174]  J. Brophy,et al.  Beyond behaviorism : changing the classroom management paradigm , 1999 .

[175]  Michael L. Connell,et al.  Effects of Consistency Management® on Student Mathematics Achievement in Seven Chapter I Elementary Schools , 2001 .

[176]  K. Fuson,et al.  Advancing children's mathematical thinking in everyday mathematics classrooms , 1999 .

[177]  M. Davison,et al.  A longitudinal study of math achievement gains for initially low achieving students , 2005 .

[178]  Nancy A. Madden,et al.  Effective Programs for Struggling Readers: A Best-Evidence Synthesis. , 2009 .

[179]  David W. Johnson,et al.  Learning Together and Alone. Cooperative, Competitive, and Individualistic Learning. Fourth Edition. , 1991 .

[180]  Sarah M. Butzin Using Instructional Technology in Transformed Learning Environments , 2001 .

[181]  Penelope L. Peterson,et al.  The Relationship of Student Ability and Small-Group Interaction to Student Achievement , 1982 .

[182]  Siegfried Engelmann,et al.  Research on Direct Instruction: 25 Years beyond DISTAR. , 1996 .

[183]  Zemira R. Mevarech,et al.  The Effects of Cooperative Mastery Learning Strategies on Mathematics Achievement , 1985 .

[184]  Thomas L. Good,et al.  Effects of Two-Group and Whole-Class Teaching on Regrouped Elementary Students’ Mathematics Achievement , 1993 .

[185]  Silvia Wen-Yu Lee,et al.  Reviewing the evidence on how teacher professional development affects student achievement , 2007 .

[186]  Shwu-Yong L. Huang,et al.  Differences by Level of Technology Use on Students' Motivation, Anxiety, and Classroom Learning Environment in Mathematics , 1996 .

[187]  P. Noyce,et al.  The Impact of Two Standards-Based Mathematics Curricula on Student Achievement in Massachusetts , 2001 .

[188]  John W. Fantuzzo,et al.  Reciprocal Peer Tutoring and Parent Partnership: Does Parent Involvement Make a Difference?. , 1993 .

[189]  L. Fuchs,et al.  High-Achieving Students’ Interactions and Performance on Complex Mathematical Tasks as a Function of Homogeneous and Heterogeneous Pairings , 1998 .

[190]  Eileen Hannigan,et al.  Use of an Instructional Management System to Improve Mathematics Skills for Students in Title I Programs , 2004 .

[191]  Lynn S. Fuchs,et al.  The Prevention, Identification, and Cognitive Determinants of Math Difficulty. , 2005 .

[192]  Lynn S. Fuchs,et al.  Acquisition and Transfer Effects of Classwide Peer-Assisted Learning Strategies in Mathematics for Students with Varying Learning Histories. , 1995 .

[193]  Lynn S. Fuchs,et al.  Effects of Task-Focused Goals on Low-Achieving Students With and Without Learning Disabilities , 1997 .

[194]  G. Brent,et al.  Effects of curriculum alignment versus direct instruction on urban children , 1993 .

[195]  Patricia F Campbel Empowering Children And Teachers In The Elementary Mathematics Classrooms Of Urban Schools , 1996 .

[196]  J. Atkins,et al.  The association between the use of accelerated math and students' math achievement , 2005 .

[197]  Poonam C. Dev,et al.  Labels Needn't Stick: "At-Risk" First Graders Rescued With Appropriate Intervention , 2002 .

[199]  Joy F. Xin Computer-Assisted Cooperative Learning in Integrated Classrooms for Students With and Without Disabilities , 1999 .

[200]  Geoffrey B. Saxe,et al.  Enhancing Students' Understanding of Mathematics: A Study of Three Contrasting Approaches to Professional Support , 2001 .

[201]  Zemira R. Mevarech,et al.  Who Benefits from Cooperative Computer-Assisted Instruction? , 1993 .

[202]  William M. Borton The effects of computer managed mastery learning on mathematics test scores in the elementary school , 1988 .

[203]  Carole Torgerson,et al.  PUBLICATION BIAS: THE ACHILLES’ HEEL OF SYSTEMATIC REVIEWS? , 2006 .

[204]  Thomas Brush,et al.  Design and Delivery of Integrated Learning Systems: Their Impact on Student Achievement and Attitudes , 1999 .

[205]  Winston Vaughan,et al.  Effects of Cooperative Learning on Achievement and Attitude Among Students of Color , 2002 .

[206]  William J. Webster,et al.  The Evaluation of Project SEED, 1990-91. , 1992 .

[207]  John W. Fantuzzo,et al.  An Evaluation of the Relative Effectiveness of NCTM Standards-Based Interventions for Low-Achieving Urban Elementary Students. , 1998 .

[208]  Vicki E. Snider,et al.  Effective Mathematics Instruction the Importance of Curriculum , 2000 .

[209]  Kim Stubblefield Mintz,et al.  A comparison of computerized and traditional instruction in elementary mathematics , 2000 .

[210]  William M. Carroll Geometric Knowledge of Middle School Students in a Reform‐based Mathematics Curriculum , 1998 .

[211]  G. DuPaul,et al.  Peer tutoring for children with attention deficit hyperactivity disorder: effects on classroom behavior and academic performance. , 1998, Journal of applied behavior analysis.

[212]  Daniel T. Hickey,et al.  The Motivational and Academic Consequences of Elementary Mathematics Environments: Do Constructivist Innovations and Reforms Make a Difference? , 2001 .

[213]  Charles Kenneth Phillips The effects of an integrated computer program on math and reading improvement in grades three through five , 2001 .

[214]  Deborah Loewenberg Ball,et al.  Mathematical Proficiency for All Students: Toward a Strategic Research and Development Program in Mathematics Education , 2002 .

[215]  R. Slavin Cooperative Learning: Theory, Research and Practice , 1990 .

[216]  A. Schoenfeld Making Mathematics Work for All Children: Issues of Standards, Testing, and Equity , 2002 .

[217]  David W. Johnson,et al.  Cooperative Learning, Group-to-Individual Transfer, Process Gain, and the Acquisition of Cognitive Reasoning Strategies , 1986 .

[218]  Vivian Fueyo,et al.  Using number line procedures and peer tutoring to improve the mathematics computation of low-performing first graders. , 1998 .

[219]  Chen-Lin C. Kulik Effects of Testing for Mastery on Student Learning. , 1986 .

[220]  David W. Dalton,et al.  Effects of individual and cooperative computer-assisted instruction on student performance and attitudes , 1989 .

[221]  Mark R. Shinn,et al.  A Preliminary Investigation Into the Identification and Development of Early Mathematics Curriculum-Based Measurement , 2004 .

[222]  B. Stephen,et al.  Research on the Education of Students Placed At Risk , 2003 .

[223]  Robert E. Slavin,et al.  Effects of team assisted individualization on the mathematics achievement of academically handicapped and nonhandicapped students , 1984 .

[224]  Gail McGregor,et al.  Effects of Video Games as Reinforcers for Computerized Addition Performance , 1987 .

[225]  George Bass,et al.  Teaching Basic Skills through Microcomputer Assisted Instruction , 1986 .

[226]  J. Fantuzzo,et al.  The effects of reciprocal peer tutoring and group contingencies on the academic performance of elementary school children. , 1986, Journal of applied behavior analysis.

[227]  Sam Stringfield,et al.  THE BALTIMORE CURRICULUM PROJECT Final Report of the Four-Year Evaluation Study , 2003 .

[228]  Maria Cardelle-Elawar,et al.  Effects of Teaching Metacognitive Skills to Students with Low Mathematics Ability. , 1992 .

[229]  H. Freiberg,et al.  Turning Around Five At‐Risk Elementary Schools , 1990 .

[230]  Joel M. Moskowitz,et al.  Evaluation of a Cooperative Learning Strategy , 1983 .

[231]  Alan L. Ginsburg,et al.  What the United States Can Learn From Singapore's World-Class Mathematics System (and What Singapore Can Learn from the United States): An Exploratory Study. , 2005 .

[232]  David W. Dalton The effects of cooperative learning strategies on achievement and attitudes during interactive video , 1990 .

[233]  Learning Mathematics in Different Mastery Environments , 1991 .

[234]  S. L. Huang,et al.  Effects of a Classroom Management Intervention on Student Achievement in Inner‐City Elementary Schools , 1995 .

[235]  J. Ronald Gentile,et al.  Standards and Mastery Learning: Aligning Teaching and Assessment So All Children Can Learn , 2003 .

[236]  Effects of Team-Assisted Individualization on the Attitudes and Achievement of Third, Fourth and Fifth Grade Students of Mathematics , 1981 .

[237]  Russell Gersten,et al.  A Follow-up of Follow Through: The Later Effects of the Direct Instruction Model on Children in Fifth and Sixth Grades , 1982 .

[238]  L. Fuchs,et al.  Explicitly Teaching for Transfer: Effects on the Mathematical Problem-Solving Performance of Students with Mathematics Disabilities. , 2002 .

[239]  The Effects of an Integrated Learning System on Third Graders' Mathematics and Reading Achievement. , 1994 .

[240]  Robert S. Siegler,et al.  Rightstart: Providing the central conceptual prerequisites for first formal learning of arithmetic to students at risk for school failure. , 1994 .

[241]  Alan H. Schoenfeld,et al.  What Doesn’t Work: The Challenge and Failure of the What Works Clearinghouse to Conduct Meaningful Reviews of Studies of Mathematics Curricula , 2006 .

[242]  Douglas Fuchs,et al.  Responsiveness to Mathematical Problem-Solving Instruction , 2004, Journal of learning disabilities.

[243]  C. Greenwood,et al.  Teacher- versus peer-mediated instruction: an ecobehavioral analysis of achievement outcomes. , 1984, Journal of applied behavior analysis.

[244]  Charles R. Greenwood,et al.  Longitudinal Effects of Classwide Peer Tutoring. , 1989 .

[245]  Maria Cardelle-Elawar,et al.  Effects of Feedback Tailored to Bilingual Students' Mathematics Needs on Verbal Problem Solving , 1990, The Elementary School Journal.

[246]  Jonathan Jacobson,et al.  NATIONAL CENTER FOR EDUCATION STATISTICS , 1998 .

[247]  Douglas A. Grouws,et al.  Active mathematics teaching , 1983 .

[248]  Thomas R. Post,et al.  Initial Fraction Learning by Fourth- and Fifth-Grade Students: A Comparison of the Effects of Using Commercial Curricula with the Effects of Using the Rational Number Project Curriculum. , 2002 .

[249]  Juliet A. Baxter,et al.  Effects of Reform-Based Mathematics Instruction on Low Achievers in Five Third-Grade Classrooms , 2001, The Elementary School Journal.

[250]  L. Hedges Effect Sizes in Cluster-Randomized Designs , 2007 .

[251]  Robert Waite A Study of the Effects of Everyday Mathematics on Student Achievement of Third-, Fourth-, and Fifth-Grade Students in a Large North Texas Urban School District , 2000 .

[252]  Denisse R. Thompson,et al.  Standards-based school mathematics curricula : What are they? What do students learn? , 2004 .

[253]  Lynn S. Fuchs,et al.  Classwide Curriculum-Based Measurement: Helping General Educators Meet the Challenge of Student Diversity , 1994 .

[254]  Robert E. Slavin,et al.  Effective Programs in Middle and High School Mathematics: A Best-Evidence Synthesis , 2008 .

[255]  Linda Hickson,et al.  A comparison of computer-assisted instruction with teacher-managed instructional practices , 1994 .

[256]  J.A.C. Rooduijn Sandberg,et al.  Final report on evaluation , 1995 .

[257]  Geoffrey D. Borman,et al.  Comprehensive School Reform and Achievement: A Meta-Analysis , 2003 .

[258]  Robert E. Slavin,et al.  A Synthesis of Research on Language of Reading Instruction for English Language Learners , 2004 .

[259]  Hsin-Yih Cindy Shyu,et al.  Using video-based anchored instruction to enhance learning: Taiwan's experience , 2000, Br. J. Educ. Technol..

[260]  R. Kozma Will media influence learning? Reframing the debate , 1994 .

[261]  R. Slavin,et al.  Effects of Cooperative Learning and Individualized Instruction on Mainstreamed Students , 1984, Exceptional children.

[262]  Chen-Lin C. Kulik,et al.  Effectiveness of Mastery Learning Programs: A Meta-Analysis , 1990 .

[263]  M. Battista,et al.  Using Microcomputer-Assisted Mathematics Instruction to Develop Computer Literacy. , 1984 .

[264]  R. Slavin Mastery Learning Reconsidered , 1987 .

[265]  Gloria E. Miller,et al.  Effects of Logo and CAI on Black First Graders' Achievement, Reflectivity, and Self-Esteem , 1988, The Elementary School Journal.

[266]  J. Confrey Comparing and Contrasting the National Research Council Report On Evaluating Curricular Effectiveness With the What Works Clearinghouse Approach , 2006 .

[267]  Clint A. Bowers,et al.  Using Virtual Reality with and without Gaming Attributes for Academic Achievement , 2006 .

[268]  William R. Penuel,et al.  Effectiveness of Reading and Mathematics Software Products: Findings from the First Student Cohort , 2007 .

[269]  Robert E. Slavin,et al.  Mastery Learning and Student Teams: A Factorial Experiment in Urban General Mathematics Classes , 1984 .