Using Manipulatives and Visual Models to Support Students' Multiplication Fluency, Attitudes, and Retention

Using Manipulatives and Visual Models to Support Students' Multiplication Fluency, Attitudes, and Retention

Author: Whitney Rhiannon Holland

Publisher:

Published: 2022

Total Pages: 0

ISBN-13:

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The purpose of this mixed-methods study was to measure the impact of a sequential use of manipulatives and visual models on third-grade students’ multiplication fluency, math attitudes, and fact retention. According to results of this study, there was significant evidence that the students who gained a conceptual understanding of multiplication through manipulatives and visual models knew and retained more multiplication facts than those who were instructed with rote memorization. This study also measured students’ attitudes toward math. While this study revealed a relationship between positive math attitudes and high math achievement, it was difficult to measure an abstract concept with young students. This research can provide teachers with an appropriate sequence for teaching multiplication facts and help school stakeholders better understand how their attitudes toward math impact students’ math attitudes.


The Effect of E-based Virtual Manipulative on Third-grade Elementary Students' Algebraic Thinking in Math Education

The Effect of E-based Virtual Manipulative on Third-grade Elementary Students' Algebraic Thinking in Math Education

Author: Grace B. Kim

Publisher:

Published: 2017

Total Pages: 100

ISBN-13: 9781369733921

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Abstract: The purpose of this study was to examine the effects of virtual manipulative on children's algebraic thinking in their early math education. The virtual manipulative is considered as a means of intervention, and its effects [are] proven to be an effective way through the action research working with the third-grade elementary students. In doing so, this study evaluated the effectiveness of e-based virtual manipulative to support children's algebraic thinking development in their early math education. Data collected for this study included pre-disposition and post-disposition surveys, pretest and posttest for algebraic thinking, and intervention assignments utilizing online math content materials regarding algebraic thinking. Data was analyzed using a statistical method using SPSS 24.0, including descriptive statistics, Pearson correlation analysis, effective size, and paired t-test. This study found that students' test scores improved significantly in overall math scores, showing that there was a statistically significant difference between the pretest and the posttest through the intervention using e-based virtual manipulative. This study also found that student's test scores increased in three algebra thinking content areas such as unknown variables, properties of operations, and arithmetic pattern with a significant difference. This study also found that students' disposition scores increased in all three areas of attitude, confidence, and belief. This study will benefit students in early-grade levels with positive impact on usage of e-based virtual manipulative intervention activities for better understanding algebraic thinking and effective pedagogy.


The Effects of Physical Manipulatives on Achievement in Mathematics in Grades K-6

The Effects of Physical Manipulatives on Achievement in Mathematics in Grades K-6

Author: Jadwiga Domino

Publisher:

Published: 2010

Total Pages: 126

ISBN-13:

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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.


Learning Within a Computer-assisted Instructional Environment

Learning Within a Computer-assisted Instructional Environment

Author: Loraine Jones Hanson

Publisher:

Published: 2012

Total Pages: 106

ISBN-13:

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The primary purpose of this study was to evaluate the effect of basic multiplication mastery (0-12) and self-efficacy outcomes for elementary age students attempting to master multiplication facts in a Computer-Assisted Instructional (CAI) environment. Timez Attack (TA), a modern Internet based 3-D multiplication video game, was the computer program used in this study. Four third- and four fourth-grade classes of students at a public charter school received either 12 20-minute Teacher-Led Instructional (TLI), or TA multiplication practice sessions. Pre- and post Math Attitude Survey (MAS), timed multiplication tests, observations, and informal interviews were used to assess and compare TA and TLI's learning environments, performance, and self-efficacy outcomes. Both third- and fourth-grade TA students' level of multiplication mastery improved significantly after intervention. Results from the post-MAS also revealed significantly higher self-efficacy beliefs, and reduced nervousness in learning multiplication facts amongst some TA students. Statistical data analysis revealed no significant performance outcome differences between TLI and TA third-grade classes; however, post-test comparisons between fourth-grade TLI and TA students showed TA students significantly outperforming their comparison group counterparts by answering approximately 50% more problems in a given time and feeling significantly less nervous toward learning new multiplication math facts. The TA program's motivational, self-paced, and self-evaluative features seemed to produce a positive learning environment, which encouraged student learning. Educators should consider using CAI with features similar to TA's to improve students' academic performance and self-efficacy.


Task Design In Mathematics Education

Task Design In Mathematics Education

Author: Anne Watson

Publisher: Springer

Published: 2015-10-26

Total Pages: 339

ISBN-13: 331909629X

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*THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* This open access book is the product of ICMI Study 22 Task Design in Mathematics Education. The study offers a state-of-the-art summary of relevant research and goes beyond that to develop new insights and new areas of knowledge and study about task design. The authors represent a wide range of countries and cultures and are leading researchers, teachers and designers. In particular, the authors develop explicit understandings of the opportunities and difficulties involved in designing and implementing tasks and of the interfaces between the teaching, researching and designing roles – recognising that these might be undertaken by the same person or by completely separate teams. Tasks generate the activity through which learners meet mathematical concepts, ideas, strategies and learn to use and develop mathematical thinking and modes of enquiry. Teaching includes the selection, modification, design, sequencing, installation, observation and evaluation of tasks. The book illustrates how task design is core to effective teaching, whether the task is a complex, extended, investigation or a small part of a lesson; whether it is part of a curriculum system, such as a textbook, or promotes free standing activity; whether the task comes from published source or is devised by the teacher or the student.