The Effects of Physical Manipulatives on Achievement in Mathematics in Grades K-6 PDF Download
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Author: Jadwiga Domino
Publisher:
ISBN:
Category :
Languages : en
Pages : 126
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Book Description
Even though there numerous books, articles, research studies, and other publications written since National Council of Teacher of Mathematics (NCTM) published Curriculum and Evaluation Standards of School Mathematics in 1989 have advocated the use of manipulatives in the teaching of mathematics, there is no conclusive evidence showing that the use of manipulatives helps students attain higher achievement in mathematics. The purpose of this meta-analysis is to investigate the overall effect of using manipulatives in mathematics instruction, compared to traditional instructional methods, on students' achievement in mathematics in kindergarten through Grade 6. After formulating the research question, the following steps were undertaken: developing a coding form, gathering research studies by searching the literature, coding the appropriate information from each study, calculating effect sizes, and analyzing and interpreting the effect sizes.^The coding form developed for this study included study characteristics such as year of publication, type of publication, study design, student ability level, SES of the students, type of community, type of measuring instrument, and duration of treatment. These nine study characteristics became the moderator variables of this study and it was found that they had a significant impact on the overall mean effect size. Eight electronic data bases and 12 peer-reviewed journals were searched to locate both published and unpublished studies conducted in the U.S. between 1989 and 2010. Eligible studies met the following search criteria: manipulative use was compared to manipulative nonuse, students were in kindergarten through Grade 6, sufficient information was reported for the calculation of effect sizes, and a control group/treatment group design was used.^The search of online databases and education journals revealed 1035 articles about manipulatives and yielded 31 primary studies that met the search criteria. These studies represented 5288 students and produced 35 effect sizes. The mean effect size was 0.50 with a confidence interval between 0.34 and 0.65. These results indicate that students who used manipulatives during mathematics instruction had statistically significant higher mathematics achievement than students who were taught by traditional teaching methods. A 0.50 effect size can be interpreted to mean that students who used manipulatives scored one-half of a standard deviation higher on mathematics achievement tests than students who did not use manipulatives. This improvement in achievement implies that the average student who used manipulatives performed better than 69% of the students who did not use manipulatives.^An implication of this research study is that there is evidence that student achievement in mathematics in kindergarten through Grade 6 can be improved as a result of using manipulatives. Implications for practice are that curriculum supervisors can confidently recommend policies that include manipulatives in the teaching of mathematics, teacher educators should guide future teachers in the proper use of manipulatives, and professional development personnel can encourage and prepare teachers to incorporate the use of manipulatives in their teaching practices.
Author: Jadwiga Domino
Publisher:
ISBN:
Category :
Languages : en
Pages : 126
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Book Description
Even though there numerous books, articles, research studies, and other publications written since National Council of Teacher of Mathematics (NCTM) published Curriculum and Evaluation Standards of School Mathematics in 1989 have advocated the use of manipulatives in the teaching of mathematics, there is no conclusive evidence showing that the use of manipulatives helps students attain higher achievement in mathematics. The purpose of this meta-analysis is to investigate the overall effect of using manipulatives in mathematics instruction, compared to traditional instructional methods, on students' achievement in mathematics in kindergarten through Grade 6. After formulating the research question, the following steps were undertaken: developing a coding form, gathering research studies by searching the literature, coding the appropriate information from each study, calculating effect sizes, and analyzing and interpreting the effect sizes.^The coding form developed for this study included study characteristics such as year of publication, type of publication, study design, student ability level, SES of the students, type of community, type of measuring instrument, and duration of treatment. These nine study characteristics became the moderator variables of this study and it was found that they had a significant impact on the overall mean effect size. Eight electronic data bases and 12 peer-reviewed journals were searched to locate both published and unpublished studies conducted in the U.S. between 1989 and 2010. Eligible studies met the following search criteria: manipulative use was compared to manipulative nonuse, students were in kindergarten through Grade 6, sufficient information was reported for the calculation of effect sizes, and a control group/treatment group design was used.^The search of online databases and education journals revealed 1035 articles about manipulatives and yielded 31 primary studies that met the search criteria. These studies represented 5288 students and produced 35 effect sizes. The mean effect size was 0.50 with a confidence interval between 0.34 and 0.65. These results indicate that students who used manipulatives during mathematics instruction had statistically significant higher mathematics achievement than students who were taught by traditional teaching methods. A 0.50 effect size can be interpreted to mean that students who used manipulatives scored one-half of a standard deviation higher on mathematics achievement tests than students who did not use manipulatives. This improvement in achievement implies that the average student who used manipulatives performed better than 69% of the students who did not use manipulatives.^An implication of this research study is that there is evidence that student achievement in mathematics in kindergarten through Grade 6 can be improved as a result of using manipulatives. Implications for practice are that curriculum supervisors can confidently recommend policies that include manipulatives in the teaching of mathematics, teacher educators should guide future teachers in the proper use of manipulatives, and professional development personnel can encourage and prepare teachers to incorporate the use of manipulatives in their teaching practices.
Author: Amy B. Holmes
Publisher:
ISBN:
Category :
Languages : en
Pages : 18
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Book Description
Four figures and three tables are appended.There is growing consensus among researchers, educators, and policy makers about the need for greater emphasis on ambitious student-centered mathematics instruction in light of mounting concern about student mathematics performance in the intermediate grades and beyond. To facilitate educators' adoption of ambitious mathematics instructional practices, recent reform initiatives, such as the Common Core Standards for Mathematics (CCSM), have specified the content elementary students should learn and the practices in which students should engage, while organizations such as the National Council of Teachers of Mathematics (NCTM) have assumed responsibility for making recommendations for improving instructional practices in mathematics. In particular, since 1989, the NCTM has continually called for the increased use of manipulative materials at all levels of mathematics education in order to support students' conceptual and procedural understanding. However, the evidence for the effects of using manipulatives to support student mathematics achievement across the primary and secondary grades is generally mixed. Investigating reasons for such contradictory findings through rigorous inquiry is important for advancing both theory and practice in mathematics education. This systematic review and meta-analysis seeks to address this issue in order to strengthen communication and research partnerships with educators, administrators, and policy makers interested in effective practices in mathematics education. A comprehensive literature search was conducted to identify qualifying studies reported between 1989 and 2012, including a search of electronic bibliographic databases, gray literature databases, and reference lists of research reports and prior reviews. The search culminated in a total of 856 reports, of which 17 reports describing 21 primary studies met the eligibility criteria after screening of titles, abstracts, and/or full-text reports, for a total sample of 1519 students. Two separate meta-analyses were conducted for the comparison of manipulatives use to a business as usual nonuse condition (14 studies, 14 effect sizes, 1126 students) and for the comparison of virtual manipulatives use to a business as usual physical manipulatives use condition (7 studies, 7 effect sizes, 393 students). Although clearly not a mathematics achievement panacea, results from this review provide evidence that student achievement in grades PK-12 can be improved through the use of mathematics manipulatives. Among other implications, practitioners, administrators, and policy makers may want to consider purchasing more inexpensive manipulative materials in order to reserve funds for other interventions that research has shown to have a more substantial impact on student mathematics achievement. Tables and figures are appended.
Author: Brenda M. Malik
Publisher:
ISBN:
Category : Academic achievement
Languages : en
Pages : 166
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Book Description
Author: John Hattie
Publisher: Corwin Press
ISBN: 1506362974
Category : Education
Languages : en
Pages : 305
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Book Description
Rich tasks, collaborative work, number talks, problem-based learning, direct instruction…with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in “visible” learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.
Author: Sara Delano Moore
Publisher: Corwin Press
ISBN: 1071816063
Category : Education
Languages : en
Pages : 289
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Book Description
Put math manipulatives to work in your classroom and make teaching and learning math both meaningful and productive. Mastering Math Manipulatives includes everything you need to integrate math manipulatives—both concrete and virtual—into math learning. Each chapter of this richly illustrated, easy-to-use guide focuses on a different powerful tool, such as base ten blocks, fraction manipulatives, unit squares and cubes, Cuisenaire Rods, Algebra tiles and two-color counters, geometric strips and solids, geoboards, and others, and includes a set of activities that demonstrate the many ways teachers can leverage manipulatives to model and reinforce math concepts for all learners. It features: · Classroom strategies for introducing math manipulatives, including commercial, virtual, and hand-made manipulatives, into formal math instruction. · Step-by-step instructions for over 70 activities that work with any curriculum, including four-color photos, printable work mats, and demonstration videos. · Handy charts that sort activities by manipulative type, math topic, domains aligned with standards, and grade-level appropriateness.
Author: Kathleen Palazuelos
Publisher:
ISBN:
Category : Manipulatives (Education)
Languages : en
Pages : 64
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Book Description
This study examined the academic achievement of students using virtual manipulatives compared to students using physical manipulatives to understand a fraction unit. The school was a Title I school with a high population of English learners. The unit was taught with the district’s curriculum to both the control and treatment groups. Treatment group students utilized virtual manipulatives during instruction, both dynamic and static manipulatives. Control group students utilized only physical manipulatives. The study found students in the treatment group utilizing virtual manipulatives outperformed the control group on the posttest after controlling for prior knowledge. English learners in the treatment group also had a higher academic achievement than students in the control group after controlling for prior knowledge.
Author: Catharine Millikan Ely
Publisher:
ISBN:
Category : Manipulatives (Education)
Languages : en
Pages : 108
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Author: Richard A. Lesh
Publisher: Routledge
ISBN: 1135484333
Category : Education
Languages : en
Pages : 145
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Book Description
This special issue of Mathematical Thinking and Learning describes models and modeling perspectives toward mathematics problem solving, learning, and teaching. The concern is not only the mature forms of models and modeling in communities of scientists and mathematicians, but also the need to initiate students in these forms of thought. The contributions of this issue suggest a variety of ways that students (children through adults) can be introduced to highly productive forms of modeling practices. Collectively, they illustrate how modeling activities often lead to remarkable mathematical achievements by students formerly judged to be too young or too lacking in ability for such sophisticated and powerful forms of mathematical thinking. The papers also illustrate how modeling activities often create productive interdisciplinary niches for mathematical thinking, learning, and problem solving that involve simulations of similar situations that occur when mathematics is useful beyond school.
Author: Elaine D. Doias
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Author: Erika Hageman
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 76
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