Digital Commons Network^™

The Academic Preparation And Background Of Public Secondary Mathematics Teachers In Utah 1966-1967, Charles Martin Crittenden

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

A random survey was conducted to determine the academic preparation and background of the public secondary mathematics teachers in the state of Utah.

The survey indicated that there is a wide variance in the teacher mathematics preparation between the three types of public secondary schools. The class B high schools have a smaller percentage of well prepared mathematics teachers than either the class A high schools or the junior high schools.

The following facts were discovered: (1) 22.03 percent of all the surveyed mathematics teachers had between 1 and 15 quarter hours of college mathematics preparation, (2) 5.22 percent had …

The Impact Of Computer-Adaptive Benchmark Data And Assessment Literacy On Student Achievement And Motivation In Mathematics, Sheryl J. Rushton

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Over the past several decades there has been an emphasis in educational research on student assessment and achievement in mathematics. Formative assessments are designed to inform the instructional decision making process and require assessment literacy to interpret and use data provided by these assessments. Many teachers and students were lacking assessment literacy; therefore, they were unable to adjust their instruction and study habits to increase student performance on summative assessments.

This study investigated the impact Scholastic Math Inventory (SMI) benchmarks and assessment literacy training had on summative assessments and student motivation in mathematics. The researcher analyzed unit posttest scores and …

Perceptions By High School Teachers Of Mathematical Readiness Of Students With Disabilities Transitioning To College, Adam Dwight King

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

More and more students with mild disabilities enroll in and attend college. However, test scores and other achievement measures show that they are well behind
their regular education peers in math achievement, and thus unprepared for the rigors of college. While much has been done to revise laws and policy involving students with disabilities and academic core standards to increase preparedness, it is still what happens in the classroom that has the greatest effect on student preparation. Due to
the nature of pullout/resource classes where pacing is typically slower and less content is covered, special education teachers make a myriad …

Young Children‘S Mathematics References During Free Play In Family Child Care Settings, Shawnee M. Hendershot

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

This study was undertaken to determine how children use math in their everyday activities, which includes caregiving environments outside of their home. Audio recordings were taken of children while they played. The researcher typed transcripts of the audio recordings in order to search for references to math. The different types of math that the children used were: (a) classification, (b) magnitude, (c) enumeration, (d) patterns and shapes, (e) spatial reasons, and (f) part/whole. An example of classification would be a child sorting blocks into groups based on shape. Magnitude is used when a child uses phrases to compare two or …

Processes And Pathways: How Do Mathematics And Science Partnerships Measure And Promote Growth In Teacher Content Knowledge?, Patricia S. Moyer-Packenham, A. Westenskow

Teacher Education and Leadership Faculty Publications

Intense focus on student achievement results in mathematics and science has brought about claims that K-12 teachers should be better prepared to teach basic concepts in these disciplines. The focus on teachers' mathematics and science content knowledge has been met by efforts to increase teacher knowledge through funded national initiatives focusing on mathematics and science. The purpose of the present study was to look across projects in the National Science Foundation's Math and Science Partnership Program to determine how partnerships developed processes for measuring growth in teacher content knowledge. Pre- and post-testing was the most common process for measuring growth …

The Effect Of Direct Instruction In Teaching Addition And Subtraction Of Decimals And Decimal Word Problems On Students At Risk For Academic Failure, Heather Hoopes Small

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

This study investigated the effects of a direct instruction program on the ability of elementary school students identified as at risk for math failure to add and subtract numbers with decimals, and complete addition and subtraction word problems with decimals. Direct instruction has previously been shown to increase the math skills of special education and general education students. This study examined the extent to which these students could master these skills in six hours of instruction, with carefully designed sequences of examples and strategy instruction in word problems. The study took place in two elementary schools. The participants were fifth …

Critical Issues In Middle And Secondary Mathematics Placement: A Case Study, Morgan E. Summers

Undergraduate Honors Capstone Projects

This qualitative research project focuses on the issues facing middle and secondary mathematics placement through an extensive literature review as well as a case study of a local school district. As students move from elementary school to middle and secondary schools, they are placed into classes that appear to be based on ability. One of the driving questions of this project is how is this ability level determined? Through an in-­‐depth look at one school district, it is found that a primary source of information is both norm-­‐referenced and criterion-­‐referenced assessments given to students in fifth and eighth grades. In …

Negotiating The "Relevant" In Culturally Relevant Mathematics, N. Enyedy, J. Danish, Deborah A. Fields

Deborah A. Fields

No abstract provided.

Learning Mathematics With Technology: The Influence Of Virtual Manipulatives On Different Achievement Groups, Patricia S. Moyer-Packenham, J. M. Suh

Teacher Education and Leadership Faculty Publications

This study examined the influence of virtual manipulatives on different achievement groups during a teaching experiment in four fifth-grade classrooms. During a two-week unit focusing on two rational number concepts (fraction equivalence and fraction addition with unlike denominators) one low achieving, two average achieving, and one high achieving group participated in two instructional treatments (three groups used virtual manipulatives and one group used physical manipulatives). Data sources included pre- and post-tests of students’ mathematical content knowledge and videotapes of classroom sessions. Results of paired samples t-tests examining the three groups using virtual manipulatives indicated a statistically significant overall gain following …

Common Features Of Professional Development Activities For Mathematics And Science Teachers, Patricia S. Moyer-Packenham, J. J. Bolyard, J. Oh, N. I. Cerar

Teacher Education and Leadership Faculty Publications

This study examines professional development activities provided for mathematics and science teachers in the National Science Foundation’s Math and Science Partnership Program by analyzing a cross-sectional sample of over 2000 professional development (PD) activities in the program. Data were gathered from secondary source documents and surveys to examine core and structural features of professional development offerings (i.e. form, collective participation, content, duration and outcomes). The results from this sample of PD activities for mathematics and science teachers were mixed. There was evidence of researchbased practices, including the collective participation by teachers at the same grade levels, a focus on content-specific …

Negotiating The "Relevant" In Culturally Relevant Mathematics, N. Enyedy, J. Danish, Deborah A. Fields

Instructional Technology and Learning Sciences Faculty Publications

One approach to promoting successful engagement of underrepresented groups in mathematics classrooms is Culturally Relevant Pedagogy (CRP). However, it has been argued that CRP risks essentializing students or watering down academic content. We report our analysis of a case study of a group of three 6th grade students who took part in a 6-week mathematics curriculum. This curriculum used Geographical Information System (GIS) maps to engage students in designing personally meaningful research projects while learning about measures of central tendency (i.e., learning statistics). The case study was chosen as representative of how students in this urban classroom (47 total) successfully …

Virtual Manipulatives In The Classroom And Resulting Articles And Lesson Plans, Cheryl Juliana

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Upon coming across mathematical manipulatives generated and produced by Utah State University, as a math teacher, I conducted a classroom teaching experiment in three pre-algebra classes with students of various achievement levels. After teaching the entire year using no manipulatives in the classroom, I tested my students with a general, end-of-year, core criterion, or cumulative test. Their scores were noted. The students in the study group were then given opportunities to try several manipulatives offered on the "National Library of Virtual Manipulatives," both as a class, and alone, and then retested. The following paper gives the parameters of the study, …

Stem Education And Leadership: A Mathematics And Science Partnership Approach, Chris Merrill, Jenny Daugherty

Publications

The issue of attracting more young people to choose careers in science, technology, engineering, and mathematics (STEM) has become critical for the United States. Recent studies by businesses, associations, and education have all agreed that the United States’ performance in the STEM disciplines have placed our nation in grave risk of relinquishing its competitive edge in the marketplace (e.g., Rising above the gathering storm, 2007). A Congressional Research Service (2006) report stated that, a “large majority of secondary students fail to reach proficiency in math and science, and many are taught by teachers lacking adequate subject matter knowledge” (Congressional Research …

The Assessment Of Mathematics And Science Teacher Quality, Patricia S. Moyer-Packenham, Johnna J. Bolyard, Anastasia Kitsantas, Hana Oh

Teacher Education and Leadership Faculty Publications

The purpose of this study was to examine the types of instruments being used to document mathematics and science teacher quality characteristics in 48 nationally funded mathematics and science education awards. Each of the 48 projects operationalized teacher quality and determined how to assess it. The main research questions examined the instruments awardees used to gather data on mathematics and science teacher quality, and the main characteristics of teachers examined by awardees. Results showed that awardees most frequently used surveys or questionnaires to assess characteristics of mathematics and science teacher quality. The most common teacher characteristics examined by awardees' included …

Virtual Manipulatives Used By K-8 Teachers For Mathematics Instruction: Considering Mathematical, Cognitive, And Pedagogical Fidelity, Patricia S. Moyer-Packenham, Gwenanne Salkind, Johnna J. Bolyard

Teacher Education and Leadership Faculty Publications

This study examined teachers’ uses of virtual manipulatives across grades K-8 after participating in a professional development institute in which manipulatives and technology were the major resources used throughout all of the activities. Researchers analyzed 95 lesson summaries in which classroom teachers described their uses of virtual manipulatives during school mathematics instruction. The findings indicated that the content in a majority of the lessons focused on two National Council of Teachers of Mathematics (2000a) standards: Number & Operations and Geometry. Virtual geoboards, pattern blocks, base-10 blocks, and tangrams were the applets used most often by teachers. The ways teachers used …

A Review Of The Literature On Mathematics And Science Teacher Quality, Johnna J. Bolyard, Patricia S. Moyer-Packenham

Teacher Education and Leadership Faculty Publications

A large body of literature exists that examines teacher quality characteristics and the relationship of indicators of those characteristics to teacher effectiveness. This existing research literature broadly views teacher quality research without illuminating specific areas of teacher quality, such as mathematics and science. In an effort to focus the literature base for researchers and policymakers more narrowly, this review specifically examines teacher quality as it relates to mathematics and science teaching and learning. The review highlights key policy and practitioner perspectives, provides a focused synthesis on current research findings on mathematics and science teacher quality, and suggests areas of research …

Capstone Mathematics And Technology: A Collection Of Mathematical Technology Enhanced Activities For Students And Teachers, Heidi Eastman

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

The purpose of this project is to provide an introduction to how technology can be used in the mathematical classroom to enhance students' learning of mathematics, while at the same time leading students to a richer and deeper understanding of those mathematical concepts. The topics were selected based on their relevance to the Utah State Core Curriculum for middle and secondary mathematics courses. It was intended that each lesson plan would challenge a preservice mathematics educator to build relationships between different areas of mathematics and/or to create deeper understandings of specific mathematical concepts. At the same time many of the …

Code Red (Remediation And Enrichment Days): The Complex Journey Of A School And University Partnership's Process To Increase Mathematics Achievement, Patricia S. Moyer-Packenham, K. Dockery, S. Jamieson, J. Ross

Teacher Education and Leadership Faculty Publications

This study examined a focused remediation and enrichment effort among school and university faculty to affect the mathematics achievement of a group of third-grade students in a Title 1 elementary school. A total of 87 students participated in the Code RED (Remediation and Enrichment Days) Project. During the Code RED Project, student assessment data were used to identify high-need areas for mathematics instruction. The Code RED Project sessions occurred in small groups over a 10-week period. Pre-and posttest assessments, as well as state-standardized tests, were used for data gathering during the project. Pre-and posttest data indicate that students made significant …

Mathematical Functions: An Interactive Emodule, Sarah Jean Moody

Undergraduate Honors Capstone Projects

The National Library of Virtual Manipulatives (NLVM, http://nlvm.usu.edu/) is a widely used and highly praised teaching/learning resource for school mathematics. The NLVM is the result of a four-year USU project, funded primarily by the National Science Foundation, Award #9819107, to create a web-based, freely accessible, library of interactive virtual manipulatives to help students learn basic mathematics concepts. During a typical school day, the NLVM server receives more than 3 million hits.

Hand-Held Calculators And Mathematics Achievement: What The 1996 National Assessment Of Educational Progress Eighth-Grade Mathematics Exam Scores Tell Us, Kenneth L. Wareham

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The purpose of this study was to analyze the 1996 National Assessment of Educational Progress data to identify the relationship between calculator use and student performance on the National Assessment of Educational Progress Mathematics Assessment. This general purpose includes several sub issues. In addition to being interested in the overall relationship between use and National Assessment of Educational Progress achievement (including the effort to control for spurious factors), this study examined the contextual factors that moderate the impact of calculator use. Similarly, it analyzed the relationship between calculator use and student performance on calculator-allowed and calculator-restricted items, as well as …

Technology And Mathematics Standards: An Integrated Approach, Chris Merrill, Mark Comerford

Publications

The article focuses on the use of standards-based teaching and learning that has been gaining significant attention in the education world. State and national associations now base their specific subject area or discipline solely on standards, i.e., International Technology Education Association (ITEA), National Council of Teachers of Mathematics (NCTM), National Science Education Association (NSEA). Moreover, at the public school level, state boards of education are holding school districts accountable for teaching standards-based curricula. It is with the latter definition in mind that the authors created a standards-based, integrated technology and mathematics lesson using the design and construction of stair systems.

Controlling Choice: Teachers, Students, And Manipulatives In Mathematics Classrooms, Patricia S. Moyer-Packenham, M. Gail Jones

Teacher Education and Leadership Faculty Publications

This research study examines the instructional practices of 10 middle grades teachers related to their use of manipulatives in teaching mathematics and their control of mathematics tools during instruction. Through 40 observations of teaching, 30 interviews, and an examination of 67 written documents (including teachers' plans and records), profiles were developed that describe how teachers used and controlled manipulatives during instruction. Results showed that teachers used a variety of manipulatives and other mathematics tools over the course of the year-long study. Teachers reported using a mathematics tool (manipulative, calculator, or measuring device) in 70% of their lessons, and this self-report …

Incorporating Technology In Mathematics Education: A Suite Of E-Activities For The Modem Mathematics Classroom, Jennifer E. Youngberg

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

National studies indicate major deficiencies in students' understanding of mathematics. Research suggests that students tend to view mathematics as a set of computational rules rather than a process of discovery and a tool for problem-solving. Most students fail to grasp the concepts behind the computations.

Technology provides a partial solution to this problem. Over the past decade, computers have emerged as a powerful tool in education. Computers place the control of action in the learning process with the student. They allow students to experiment with, explore, and discover mathematics at their own pace. With computers, students can consider more examples …

Are We Having Fun Yet? How Teachers Use Manipulatives To Teach Mathematics, Patricia S. Moyer-Packenham

Teacher Education and Leadership Faculty Publications

Teachers often comment that using manipulatives to teach mathematics is ‘fun!’ Embedded in the word ‘fun’ are important notions about how and why teachers use manipulatives in the teaching of mathematics. Over the course of one academic year, this study examined 10 middle grades teachers’ uses of manipulatives for teaching mathematics using interviews and observations to explore how and why the teachers used the manipulatives as they did. An examination of the participants’ statements and behaviors indicated that using manipulatives was little more than a diversion in classrooms where teachers were not able to represent mathematics concepts themselves. The teachers …

Integrating Science, Mathematics And Technology In Middle School Technology-Rich Environments: A Study Of Implementation And Change, Robert K. James, Charles E. Lamb, Dan L. Householder, Melynda A. Bailey

Engineering Education Faculty Publications

The GTECH project, funded through a grant from the GTE Foundation, prepared school teams of science, mathematics and technology teachers and an administrator to set goals for their local schools regarding implementation of electronic technology and integration of content across curricular areas. A variety of teacher-centered staff development strategies were used to enable participants to achieve local school objectives, model and encourage active learning environments involving technology, develop integrated curriculum and provide training to their peers. GTECH staff provided workshops and summer institutes based on teacher feedback and classroom observations. Data from the Stages of Concerns Questionnaire assisted the staff …

Teaching Mathematics With Technology: Reflecting On Our Progress And Looking Ahead, Patricia S. Moyer-Packenham

Teacher Education and Leadership Faculty Publications

No abstract provided.

Frequency And Perception Of Mathematics Activities In Family Child Care And Parent-Child Routines, Annette Kari Eddy

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The study examined the frequency of preschool mathematics activities at home and in the family child care setting. Provider perception and parent perception of the activities were also surveyed. Twenty-one family child care providers, 38 parents, and 42 preschool children participated in the study. Providers and parents participated in a telephone interview in which they completed either the Day Care Activities Checklist (DAC) or the Parent/Child Activities Checklist (PCAC). Research assistants administered the TEMA-2, a mathematical assessment suitable for preschool children, to the children in the study.

Family child care providers in this study reported engaging in mathematics activities statistically …

Estimating Aspen Crown Fuels In Northeastern Minnesota, R.M. Loomis, P.J. Roussopoulos

Aspen Bibliography

No abstract provided.

Suitability Analysis And Wildland Classification: An Approach, D.R. Betters, J.L. Rubingh

Aspen Bibliography

The determination of wildland suitability for various uses and their proper classification for use is becoming increasingly important to planning.

Attitudinal Effects Of Unified Mathematics At Hillcrest High School, Willis Dean Samuels

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The purpose of this study was to investigate the relationship between ( 1) attitude as expressed on Aiken 1s Mathematics Attitude Scale between students who had been taught Unified Mathematics and similar students who had not been taught Unified Mathematics. The sample consisted of 37 students in the treatment group and 46 students in the control group.

The students were given a copy of Aiken's Mathematics Attitude Scale. The responses were scored by the researcher. Seven null hypotheses were examined by calculating the means and standard deviations of each group. Comparison of the posttest means was performed by using …