Education Commons^™

Using Visual Imagery To Develop Multiplication Fact Strategies, Gina Kling

Dissertations

The learning of basic facts, or the sums and products of numbers 0–10 and their related differences and quotients, has always been a high priority for elementary school teachers. While memorization of basic facts has been a hallmark of elementary school, current recommendations focus on a more nuanced development of fluency with these facts. Fluency is characterized by the ability to demonstrate flexibility, accuracy, efficiency, and appropriate strategy use. Despite recommendations to focus on strategy use, there is insufficient information on instructional approaches that are effective for developing strategies, particularly for multiplication facts. Using visual imagery with dot patterns has …

Communicating Multiplicative Reasoning Through Semiotic Resources, Emilie N. Eisenberger

Boise State University Theses and Dissertations

The importance of fostering in students the requisite language to understand what is being communicated and how to communicate their understanding requires educators to conceptualize themselves as teachers of language and content. It is possible to engage in activities of the mathematics classroom and through that participation engage in language practices and mathematical practices simultaneously. The purpose of this study was to explore the use of semiotic resources, and modality, with a student-generated tool on students’ communication of multiplicative reasoning.

The study design was a qualitative case study that included a single third-grade class with an in-depth look at six …

Effects Of Online Program Vs. Handheld Flashcards On Multiplication And Division Fact Knowledge Of 4th Grade Learners With Exceptional Needs, Lindsay M. Siegman

Theses and Dissertations

This study utilized a time series design to investigate the effects of a computer-based math fact program called Xtramath.org vs. the use of traditional handheld flashcards. Students were given a baseline assessment before beginning the school district's method for learning basic math facts: Xtramath.org. They were tested again after 6 weeks and then began to use traditional handheld flashcards. Students were tested again to compare the results. Eight 4th grade students (5 male and 3 female) with special needs were included in this study. These students attend school in a wealthy, suburban area with a predominantly white population.

Fluency in …

The Importance Of Automaticity Development In Mathematics, Austin T. Baker, Josh Cuevas

Georgia Educational Researcher

This study examined whether students were reaching automaticity with single digit multiplication facts. A fourteen question interview was used to collect data. The first three questions asked the student basic information about themselves and their current math teacher. The next seven questions were math facts. The math facts chosen for the interview were a range of difficulty, starting with a simple problem like 1 x 9 and increasing in difficulty to 6 x 9. The last four questions were open-ended with the intent of gaining insight into whether the students were using strategies to complete the problems or if they …

Computational Fluency: The Key To Multiplicative Success, Bethany Lloyd

Honors Theses

No abstract provided.

A Written Instrument For Assessing Students’ Units Coordination Structures, Anderson Norton, Steven Boyce, Nathan Phillips, Tessa Anwyll, Catherine Ulrich, Jesse L. M. Wilkins

Mathematics and Statistics Faculty Publications and Presentations

Units coordination refers to students’ abilities to create units and maintain their relationships with other units that they contain or constitute. In recent research, units coordination has arisen as a key construct that mediates opportunities for student learning across several domains of mathematics, including fractions knowledge and algebraic reasoning. To date, assessments of students’ stages of units coordinating ability have relied upon clinical interviews or teaching experiments whose time-intensive nature precludes opportunities for conducting large-scale studies. We introduce a written instrument that teachers and researchers can use with large populations of students. We report on the reliability and validity of …

Chosen Multiplication Algorithms And The Ability To Learn New Methods, Catherine A. Tarushka

Honors Theses and Capstones

No abstract provided.

Learning Within A Computer-Assisted Instructional Environment: Effects On Multiplication Math Fact Mastery And Self-Efficacy In Elementary-Age Students, Loraine Jones Hanson

Theses and Dissertations

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 …

The Effects Of Journaling And Vocabulary Strategies On Elementary Students' Attitudes Towards Mathematical Performance, Renee Marie Janzen

Electronic Theses and Dissertations

In an attempt to examine the effects of journaling and vocabulary strategies on elementary students’ attitudes towards mathematical performance, I embedded reflective journaling and vocabulary strategies into my fourth grade mathematics curriculum. The mathematics content focused on whole number place value, multiplication, and division. My study revealed the positive effects these interventions can have on elementary students’ attitudes towards mathematics.

Use Of The Multiplication Chart In Solving Problems With Fractions, Adan Espinosa

Theses Digitization Project

The purpose of this study is to analyze whether or not using the Multiplication Table when teaching fractions will improve student's problem-solving skills with accuracy. The major goal of this project is to explore whether students will become more effective mathematical problem solvers with fractions if they use the multiplication table method or box method. The participants in this study are 93 students in a public high school in a large urban area of the southeast area of California. This study was conducted at Bear High School during the 2007-2008 school year because of the high number of students taking …

Developing Fourth Graders' Proficiency In Basic Multiplication Facts Through Strategy Instruction, Stacey Braddock

Electronic Theses and Dissertations

The purpose of this action research study was to evaluate my own practice of teaching basic multiplication facts to fourth graders. I wanted to see how focusing my instruction on strategies would help my students develop proficiency in basic multiplication facts. I chose this topic because Florida was in the process of shifting to new standards that encourage teaching for deeper meaning. I hoped this research would give my students the opportunity to make sense of multiplication on a deeper level, while giving me insight into how students learn multiplication. Through this study, I learned that students initially find multiplication …

Paper 4: Assessing Understanding Of Multiplication Through Words, Pictures, And Numbers, Marvin E. Smith, Stephanie Z. Smith

Georgia Association of Mathematics Teacher Educators (GAMTE) Annual Conference

The objective of this session is to engage mathematics teacher educators in a discussion of how to assess an understanding of the concept of multiplication as an operation and its relationships to other operations. The session will begin with a presentation of a previously published study assessing children’s understanding of multiplication as grouping and the relationship between multiplication and addition. The assessment asked a series of problems involving words, pictures, and numbers. The results of the study indicate that the types of problems asked were successful in providing evidence of children’s understanding of multiplication. The study also found that a …