University of Chicago School Mathematics Project 6-12 Curriculum. What Works Clearinghouse Intervention Report


Book Description

The "University of Chicago School Mathematics Project ("UCSMP") 6-12 Curriculum" is a series of yearlong courses--(1) Transition Mathematics; (2) Algebra; (3) Geometry; (4) Advanced Algebra; (5) Functions, Statistics, and Trigonometry; and (6) Precalculus and Discrete Mathematics--emphasizing problem solving, real-world applications, and the use of technology. The program is designed to allow schools to offer the appropriate math to students regardless of grade level. Beginning with the Algebra course, technology is used in the classroom to aid in the development of properties and skills, and graphing calculators are used to complete assignments at all levels. The What Works Clearinghouse (WWC) High School Math topic area reviewed 20 studies on the "UCSMP". Two of these studies meet WWC evidence standards with reservations; the remaining 18 studies do not meet either WWC evidence standards or eligibility screens. Based on the two studies, the WWC found potentially positive effects in math achievement for high school students. The conclusions presented in this report may change as new research emerges. Appended are: (1) Study characteristics; (2) Outcome measures for the math achievement domain; (3) Summary of study findings included in the rating for the math achievement domain; (4) "UCSMP" rating for the math achievement domain; and (5) Extent of evidence by domain. (Contains 9 footnotes.).




University of Chicago School Mathematics Project (UCSMP). What Works Clearinghouse Intervention Report


Book Description

"University of Chicago School Mathematics Project" ("UCSMP") is a core mathematics curriculum that emphasizes problem solving, real-world applications, and the use of technology. The curriculum is based on a student-centered approach with a focus on active learning that incorporates reading and uses a flexible lesson organization. The What Works Clearinghouse (WWC) identified two studies of "UCSMP Algebra" and one study of the cumulative effect of "multiple UCSMP courses" that both fall within the scope of the Secondary Mathematics topic area and meet WWC group design standards. No studies meet WWC group design standards without reservations, and two studies of "UCSMP Algebra" meet WWC group design standards with reservations. Together, these two studies included 225 students in grades 8-12 in three locations. The one study of "multiple UCSMP courses" also meets WWC group design standards with reservations. This study included 62 students in grades 7-10 in two locations. The findings in this report pertain to "UCSMP Algebra" and the cumulative effect of "multiple UCSMP courses". "UCSMP Algebra" was found to have potentially positive effects on general mathematics achievement and algebra for secondary students. The cumulative effect of "multiple UCSMP courses" was found to have potentially positive effects on general mathematics achievement for secondary students. The following are appended: (1) Research details for Peters (1992); (2) Research details for Thompson et al. (2006); (3) Research details for Hirschhorn (1993) (EJ478386); (4) Outcome measures for each domain; (5) Findings included in the rating for studies of "UCSMP" Algebra for the general mathematics achievement domain; (6) Findings included in the rating for studies of "UCSMP" Algebra for the algebra domain; and (7) Findings included in the rating for multiple "UCSMP" courses for the general mathematics achievement domain. Contains WWC Rating Criteria and a glossary of terms.




Transition Mathematics. What Works Clearinghouse Intervention Report


Book Description

"Transition Mathematics" aims to increase 7th- through 12th-grade students' skills in applied arithmetic, pre-algebra, and pre-geometry. This one-year curriculum also addresses general application to different wordings of problems, types of numbers, and contexts for problems and aims to promote mathematical reading skills. The curriculum uses the University of Chicago School Mathematics Project (UCSMP) textbook. The sequence of the topics intends to assist the transition from arithmetic to algebra and geometry. One study of "Transition Mathematics," first edition, comparing it with "Expert Mathematician," met the What Works Clearinghouse (WWC) evidence standards. One study of the first edition and one study of the second edition of the intervention, comparing it with diverse curricula used in different schools, met WWC evidence standards with reservations. The three studies included more than 2,000 students in seventh, eighth, and ninth grades in schools throughout the United States. Three studies reviewed by the WWC investigated the effects of "Transition Mathematics." One study (Baker, 1997) was a randomized controlled trial that met WWC evidence standards in the original review and met WWC evidence standards in this updated review. Two studies (Hedges, Stodolsky, Mathison, & Flores, 1986; Thompson, Senk, Witonsky, Usiskin, & Kaeley, 2005) used a quasi-experiment design that met WWC evidence standards with reservations. Of the three studies that examined the impact of the first and second editions of "Transition Mathematics," one study showed a substantively important negative effect, one study showed a statistically significant positive effect, and one study showed an indeterminate effect. Thus, based on the results of the three studies, the WWC found mixed effects on students' mathematics achievement. (Contains 8 footnotes.) [This publication was produced by the What Works Clearinghouse. The following three studies are reviewed in this intervention report: (1) Baker, J. J. (1997). Effects of a generative instructional design strategy on learning mathematics and on attitudes towards achievement. "Dissertation Abstracts International," 58(7), 2573A. (UMI No. 9800955); (2) Hedges, L. V., Stodolsky, S. S., Mathison, S., & Flores, P. V. (1986). "Transition Math Field Study." Chicago: University of Chicago; and (3) Thompson, D. R., Senk, S. L., Witonsky, D., Usiskin, Z., & Kaeley, G. (2005). "An evaluation of the second edition of UCSMP Transition Mathematics." Chicago: University of Chicago School Mathematics Project.].




Connected Mathematics Project. What Works Clearinghouse Intervention Report


Book Description

The "Connected Mathematics Project" is a problem-centered mathematics curriculum designed to help students in grades 6 to 8 develop mathematical knowledge, understanding, and skills. It contains eight student units for each grade level and covers five content strands: number and operations, geometry, measurement, data analysis and probability, and algebra. Characterized by an inquiry mode, instruction is conducted in three phases: launch, explore, and summarize.




Transition Mathematics


Book Description




Connected Mathematics Project (CMP). What Works Clearinghouse Intervention Report


Book Description

The "Connected Mathematics Project" ("CMP") is a mathematics curriculum designed for students in grades 6-8. Each grade level of the curriculum is a full-year program and covers numbers, algebra, geometry/measurement, probability, and statistics. The curriculum uses an investigative approach, and students utilize interactive problems and everyday situations to learn math concepts. The What Works Clearinghouse (WWC) reviewed 79 studies of "CMP." No studies of "CMP" meet WWC evidence standards, and one study meets WWC evidence standards with reservations. The one study included more than 12,000 students from grades 6-8 in Texas. Based on this study, the WWC considers the extent of evidence for "CMP" to be small for math achievement. "CMP" was found to have no discernible effects on math achievement. Appended to this report are: (1) Study characteristics: Schneider, 2000 (quasi-experimental design); (2) Outcome measure for the math achievement domain; (3) Summary of study findings included in the rating for the math achievement domain; (4) Summary of cohort findings for the math achievement domain; (5) "CMP" rating for the math achievement domain; and (6) Extent of evidence by domain. (Contains 9 notes.) [The following study is reviewed in this intervention report: Schneider, C. L. (2000). "Connected Mathematics and the Texas Assessment of Academic Skills" (Doctoral dissertation, University of Texas at Austin, 2000). Dissertation Abstracts International, 62(02), 503A. (UMI No. 3004373). For previous WWC intervention reports on the "Connected Mathematics Project," see ED499297 (2007) and ED485389 (2004).].




Math Instruction for Students with Learning Difficulties


Book Description

This richly updated third edition of Math Instruction for Students with Learning Difficulties presents a research-based approach to mathematics instruction designed to build confidence and competence in preservice and inservice PreK- 12 teachers. Referencing benchmarks of both the National Council of Teachers of Mathematics and Common Core State Standards for Mathematics, this essential text addresses teacher and student attitudes towards mathematics as well as language issues, specific mathematics disabilities, prior experiences, and cognitive and metacognitive factors. Chapters on assessment and instruction precede strands that focus on critical concepts. Replete with suggestions for class activities and field extensions, the new edition features current research across topics and an innovative thread throughout chapters and strands: multi-tiered systems of support as they apply to mathematics instruction.




Math Instruction for Students with Learning Problems


Book Description

Math Instruction for Students with Learning Problems, Second Edition provides a research-based approach to mathematics instruction designed to build confidence and competence in pre- and in-service PreK–12 teachers. This core textbook addresses teacher and student attitudes toward mathematics, as well as language issues, specific mathematics disabilities, prior experiences, and cognitive and metacognitive factors. The material is rich with opportunities for class activities and field extensions, and the second edition has been fully updated to reference both NCTM and CCSSM standards throughout the text and includes an entirely new chapter on measurement and data analysis.




Core-Plus Mathematics. What Works Clearinghouse Intervention Report


Book Description

"Core-Plus Mathematics" is a four-year curriculum that replaces the traditional sequence with courses that each feature interwoven strands of algebra and functions, statistics and probability, geometry and trigonometry, and discrete mathematics. The first three courses in the series provide a common core of broadly useful mathematics, while the fourth continues the preparation of students for college mathematics and statistics courses. The curriculum emphasizes mathematical modeling, using technology to emphasize reasoning with multiple representations (verbal, numerical, graphical, and symbolic) and to focus on goals in which mathematical thinking and problem solving are central. Instructional materials promote active learning and teaching centered around collaborative small-group investigations of problem situations, followed by teacher-led whole-class summarizing activities that lead to analysis, abstraction, and further application of underlying mathematical ideas. The What Works Clearinghouse (WWC) reviewed 17 studies on "Core-Plus Mathematics" for high school students. One of these studies meets WWC evidence standards with reservations; the remaining 16 studies do not meet either WWC evidence standards or eligibility screens. Based on the one study, the WWC found potentially positive effects on mathematics achievement for high school students. The conclusions presented in this report may change as new research emerges. Appendices include: (1) Study characteristics: Schoen & Hirsch, 2002; (2) Outcome measures for the mathematics achievement domain; (3) Summary of study findings included in the rating for the mathematics achievement domain; (4) Summary of subgroup findings for the mathematics achievement domain; (5) "Core-Plus Mathematics" rating for the mathematics achievement domain; and (6) Extent of evidence by domain. (Contains 6 footnotes.).




Project SEED. What Works Clearinghouse Intervention Report


Book Description

"Project SEED" is a supplemental mathematics program for low-achieving students in grades 3 through 8 and is intended to prepare students to be successful in high school and college math. Based on the Socratic method, instruction is delivered through a series of questions to the class. In addition to individual responses, the instructor solicits group feedback through silent hand signals, chorus responses, and quick surveys of written work. The program is intended to encourage active student learning, develop critical thinking, and strengthen articulation skills. Student learning is assessed regularly, and instructors adapt the lessons to accommodate different ability levels. The curriculum, taught by mathematics specialists, includes topics from advanced mathematics, such as advanced algebra, pre-calculus, group theory, number theory, calculus, and geometry. "Project SEED" instruction is provided in addition to regular math instruction four times a week for 14 to 16 weeks. The program also provides professional development for classroom teachers through modeling, coaching, and workshops. The What Works Clearinghouse (WWC) identified 16 studies of "Project SEED" for elementary school students that were published or released between 1988 and 2011. Eight studies are within the scope of the Elementary School Math review protocol but do not meet WWC evidence standards. Five of these studies use a quasi-experimental design in which the analytic intervention and comparison groups are not shown to be equivalent prior to the start of the intervention. In the remaining three studies, "Project SEED" was offered through learning centers that provided a number of educational interventions in addition to "Project SEED". Therefore, measures of effectiveness in these studies cannot be attributed solely to "Project SEED". Eight studies are out of the scope of the Elementary School Math review protocol because they have an ineligible study design. Six of these studies do not include primary analysis of the effectiveness of "Project SEED". One study does not use a comparison group or single-case design. One study does not use a sample of elementary school students. A glossary of terms is included. (Contains 2 endnotes and 1 additional resource.).