Education Commons^™

Pisa In Brief : Highlights From The Full Australian Report : Challenges For Australian Education : Results From Pisa 2009 : The Pisa 2009 Assessment Of Students' Reading, Mathematical And Scientific Literacy., Sue Thomson, Lisa De Bortoli, Marina Nicholas, Kylie Hillman, Sarah Buckley

Kylie Hillman

No abstract provided.

Pisa In Brief : Highlights From The Full Australian Report : Challenges For Australian Education : Results From Pisa 2009 : The Pisa 2009 Assessment Of Students' Reading, Mathematical And Scientific Literacy., Sue Thomson, Lisa De Bortoli, Marina Nicholas, Kylie Hillman, Sarah Buckley

Kylie Hillman

No abstract provided.

Pisa In Brief : Highlights From The Full Australian Report : Challenges For Australian Education : Results From Pisa 2009 : The Pisa 2009 Assessment Of Students' Reading, Mathematical And Scientific Literacy., Sue Thomson, Lisa De Bortoli, Marina Nicholas, Kylie Hillman, Sarah Buckley

Kylie Hillman

No abstract provided.

Managing Cognitive Load In The Mathematics Classroom, Mohan Chinnappan, Paul Chandler

Paul Chandler

The results of research about cognitive load that is associated with mental processes and the management of such load so that students can be better supported in the construction of connected mathematical information is discussed. Ways in which worked examples can be effective in promoting useful and powerful mathematics schemes are highlighted.

The Impact Of Secondary Mathematics Methods Courses On Preservice Secondary Teachers’ Beliefs About The Learning And Teaching Of Mathematics, Ronald Gene Smith Ii

Doctoral Dissertations

The Comprehensive Framework for Teacher Knowledge provides a model that describes an approach to the secondary mathematics methods course, as described by Robert Ronau and P. Mark Taylor. The model includes the orientation of preservice teachers toward mathematics and the teaching of mathematics, which includes the beliefs of the preservice teachers. The first questions deal with identifying the methods used in the methods course to address beliefs. The second set of questions deal with the effects of the methods course on the beliefs that preservice teachers hold on the learning and teaching of mathematics.

The study included 16 different universities …

Developing Mathematical Content Knowledge For Teaching Elementary School Mathematics, Eva Thanheiser, Christine A. Browning, Meg Moss, Tad Watanabe, Gina Garza-Kling

Faculty and Research Publications

In this paper the authors present three design principles they use to develop preservice teachers' mathematical content knowledge for teaching in their mathematics content and/or methods courses: (1) building on currently held conceptions, (2) modeling teaching for understanding, (3) focusing on connections between content knowledge and other types of knowledge. The authors share results of individual research projects and teaching approaches focusing on helping preservice elementary teachers develop such knowledge. Specific examples from different content areas (whole number, fractions, angle, and area) are discussed.

Implementing Reading And Writing In Secondary Mathematics, Mari E. Eisenhart

Regis University Student Publications (comprehensive collection)

Literacy in secondary mathematics continues to be difficult for many. Mathematics teachers and researchers continue to develop support documents for secondary math teachers. It is important to utilize the literacy strategies already established by other content areas. It is feasible to adjust these strategies to suit the needs of mathematics students. Literacy across the content areas is a relatively new idea in education, but literacy in mathematics is even more foreign. It is necessary to use the available literacy strategies to develop materials applicable in the secondary mathematics classroom.

The Impact Of Content Courses On Pre-Service Elementary Teachers’ Mathematical Content Knowledge, Michael Matthews, Janice Rech, Neal Grandgenett

Teacher Education Faculty Publications

In response to research documenting the mathematical deficiencies of pre-service elementary teachers, many teacher preparation programs are requiring mathematical content courses specifically focusing on the mathematics taught at the elementary level. This study considers what impact two such courses (one course focusing on Arithmetic, and the other course focusing on Geometry and Measurement) had on the mathematical content knowledge and attitude towards mathematics by comparing a group of pre-service elementary teachers who took these courses to a group of pre-service elementary teachers who took only a more general mathematics course (such as College Algebra). Results indicated that those teachers who …

The Impact Of Smart Board Technology On Growth In Mathematics Achievement Of Gifted Learners, Patricia Ann Riska

Doctoral Dissertations and Projects

This study examined whether SMART Board technology increased growth in mathematics performance of fourth grade gifted students. Gifted students in North Carolina were studied to determine if the use of SMART Board technology during mathematics instruction impacted their growth on standardized state tests. The sample consisted of 175 students from six elementary schools with similar populations. Three of the schools used SMART Boards during mathematics instruction, and three schools did not use SMART Board technology. All students were taught the mathematics curriculum according to the North Carolina Standard Course of Study. The instrument for evaluating growth was the state End-of-Grade …

Teacher Quality, Content Knowledge, And Self-Efficacy In One Mathematics Teach For America Cohort, Brian R. Evans

NERA Conference Proceedings 2010

The purpose of this study was to understand the relationships between mathematical content knowledge and perceptions of teaching self-efficacy in one cohort of Teach for America teachers. It was found that teachers had high levels of self-efficacy. It was also found that mathematics related majors had higher mathematical content knowledge than did business majors, but similar levels of self-efficacy. Liberal arts majors had similar content knowledge and levels of self-efficacy as did mathematics related majors.

Middle And High School Mathematics Teacher Differences In Mathematics Alternative Certification, Brian R. Evans

NERA Conference Proceedings 2010

his study examined the differences in content knowledge, attitudes toward mathematics, and concepts of teacher self-efficacy among several different types of teachers in the New York City Teaching Fellows program, and informs teacher education in mathematics alternative certification. Findings revealed that high school teachers had significantly higher content knowledge than middle school teachers. Mathematics Teaching Fellows had significantly higher content knowledge than Mathematics Immersion Teaching Fellows. Mathematics and science majors had significantly higher content knowledge than other majors. Teachers had the same high positive attitudes toward mathematics and same high concepts of self-efficacy regardless of content ability.

The Effects Of Positive School Engagement On Math And Reading Achievement In Midwestern Suburban Middle School Students, Heather C. Phipps

Student Work

Ensuring high academic achievement in schools with increasingly diverse students is a challenge. Assessing student engagement can be a powerful tool in predicting potential success and identifying students who may need additional support. Positive youth development theory supports focusing on a young person’s strengths, and an asset-based approach to education can raise student achievement. During the 2007-2008 school year, seventh grade students were assessed for school engagement using the Developmental Assets Profile. Students were identified as either not engaged or engaged in school. For two years, achievement in reading and math as well as grade point average was collected and …

Cooperative Learning And The Gifted Student In Elementary Mathematics, Christine C. Hecox

Doctoral Dissertations and Projects

The research was a quantitative research project dealing with Florida Comprehensive Assessment Test (FCAT) Mathematics scores of fourth grade students, including gifted and high-achieving students, in 2008-2009 under the exposure of daily cooperative learning in mathematics. The problem statement was as follows: In Polk County, Florida, how does cooperative learning affect the FCAT Mathematics scores among fourth grade students, including gifted and high-achieving students? The purpose of the quasi-experimental study was to explore the relationship of cooperative learning versus traditional learning on their student achievement. The null hypothesis was that cooperative learning would have no effect on fourth grade gifted …

Teaching Calculus With Wolfram Alpha, Andrew Lang

College of Science and Engineering Faculty Research and Scholarship

This article describes the benefits and drawbacks of using Wolfram|Alpha as the platform for teaching calculus concepts in the lab setting. It is a result of our experiences designing and creating an entirely new set of labs using Wolfram|Alpha. We present the reasoning behind our transition from using a standard computer algebra system (CAS) to Wolfram|Alpha in our differential and integral calculus labs, together with the positive results from our experience. We also discuss the current limitations of Wolfram|Alpha, including a discussion on why we still use a CAS for our multivariate calculus labs.

Relationship Of Self-Efficacy Beliefs Of Urban Public School Students To Performance On A High-Stakes Mathematics Test, Kolajo Akinbiyi Afolabi

Open Access Dissertations

The purpose of this study was to examine the relationship of self-efficacy for Enlisting Social Resources, Self-Regulatory Efficacy, self-efficacy for Self-Regulated Learning, and self-efficacy for Academic Achievement (Bandura's Children's Self-Efficacy Scale, 2006) of urban public school students to performance on the high stakes Massachusetts Comprehensive Assessment System (MCAS) math test. A survey questionnaire was administered to eighty three participants and the data, analyzed using linear regression, conformed to the assumptions of Independence, Linearity, Normality, and Homoscedasticity. Self-Regulatory Efficacy, Academic Achievement, and Socio-economic Status were statistically significant bivariate predictors of performance on MCAS math test. Self-Regulatory Efficacy was the only consistent …

Special Educators And Mathematics Phobia: An Initial Qualitative Investigation, Michael Humphrey, Jack Hourcade

Jack Hourcade

Special educators are uniquely challenged to be content experts in all curricular areas, including mathematics, since students in their case loads may require academic instruction in any area. However, special educators with math phobia may be limited in their ability to provide effective instruction to their students with mathematical deficits and/or needs, and may experience additional challenges in their professional and personal lives. This qualitative study sought to better understand the nature of math phobia in two special educators through extensive interviews, journaling, and observations in math experiences, with a number of primary themes identified. Several potential resolutions for the …

Is Competition Making A Comeback? Discovering Methods To Keep Female Adolescents Engaged In Stem: A Phenomenological Approach, Kathryn B. Notter

College of Education and Human Sciences: Dissertations, Theses, and Student Research

The decreasing number of women who are graduating in the Science, Technology, Engineering and Mathematics (STEM) fields continues to be a major concern. Despite national support in the form of grants provided by National Science Foundation, National Center for Information and Technology and legislation passed such as the Deficit Reduction Act of 2005 that encourages women to enter the STEM fields, the number of women actually graduating in these fields is surprisingly low. This research study focuses on a robotics competition and its ability to engage female adolescents in STEM curricula. Data have been collected to help explain why young …

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, …

Affective Socialization Processes In Mathematics Doctoral Study: Gaining Insight From Successful Students, Lauren L Wagener

Doctoral Dissertations

Mathematics has the highest attrition rate among all liberal arts disciplines (and among all disciplines, except for health professions) and the second highest attrition rate of all doctoral programs in the United State. In order to prevent the loss of so many students, mathematics departments must consider the root causes for attrition and determine what individual skills and knowledge and departmental systems and support will help more mathematics doctoral students to succeed. The purpose of this qualitative interview study was to explore the interactions mathematics doctoral candidates at one institution have had during graduate school and the value that the …

Learning And Serving: An Exploratory Action Research Case Study Of A Middle School Service Learning Curriculum Project, Georgina Levey

Electronic Theses and Dissertations

Service learning, a natural link between community service and standards-based education, encourages students to learn about themselves in the context of the world in which they live. In other words, service learning is a method of teaching that enriches learning by engaging students in meaningful service to their schools and communities, and integrating that service with established curricula or learning objectives (NYLC Service-Learning Glossary, 2005). Educational service activities can be done directly or indirectly and they can have a varying degree of “involvement” ranging from community service, community exploration, community action or advocacy and research. In this study, a service …

Design Of Computer-Based Assessment Secondary Education For Understanding Of Mathematics, Mark Damian Lewis

Boise State University Theses and Dissertations

The purpose of this study was to evaluate the effectiveness of a computer-based assessment to reveal mathematical understanding. Relevant literature suggested that developments in cognitive science and computer-based assessments could allow the outcomes of cognitively guided instruction to be made explicit. An assessment instrument designed to make mathematical thinking explicit was developed and administered, consisting of 15 animations showing the solutions of one and two digit multiplication problems. A consistent set of five questions followed each animation. The assessment was administered to four classes of fourth grade students in two elementary schools participating in cognitively guided instruction professional development programs. …

Mathematics In Motion: A Handbook Of Kinesthetic Teaching Strategies, Janie Brown Salazar

Regis University Student Publications (comprehensive collection)

Howard Gardner first proposed his theory of Multiple Intelligences and the bodily-kinesthetic intelligence in 1983. Unfortunately, almost three decades later, teacher programs still do not train teachers about Bodily-Kinesthetic intelligence in depth; nor do they train teachers how to integrate Bodily-Kinesthetic intelligence into daily learning procedures and classroom environment. Schools focus very little on other factors that contribute to how successful a person might be in life, throughout life. Incorporating bodily-kinesthetic strategies in teaching can positively influence children's learning experience. The following research project investigates the research on the bodily-kinesthetic intelligence, bodily-kinesthetic teaching strategies, teaching strategies linked to student achievement, …

Mathematics Vocabulary And English Learners: A Study Of Students' Mathematical Thinking, Hilary Hart

Theses and Dissertations

This study examined the mathematical thinking of English learners as they were taught mathematics vocabulary through research-based methods. Four English learners served as focus students. After administering a pre-performance assessment, I taught a 10-lesson unit on fractions. I taught mathematics vocabulary through the use of a mathematics word wall, think-pair-shares, graphic organizers, journal entries, and picture dictionaries. The four focus students were audio recorded to capture their spoken discourse. Student work was collected to capture written discourse. Over the course of the unit, the four focus students used the mathematics vocabulary words that were taught explicitly. The focus students gained …

Parts Of The Whole: Thinking About Variance: Standards, Targets, Tracking, And Other Thoughts, Dorothy Wallace

Numeracy

Variation is a natural result of any process, including education. Understanding how variation propagates and increases is necessary for designing educational interventions that work for the intended population. We show how common strategies such as setting standards and tracking can accidentally produce unintended and undesirable results due to the way variation moves through a system.

Reorganizing School Mathematics For Quantitative Literacy, Rick Gillman

Numeracy

This paper offers an alternative curriculum for high school mathematics. It proposes replacing the Algebra-Geometry-Algebra rush to calculus model with one which focuses on improving student problem-solving skills and general quantitative literacy skills while reinforcing basic manipulative skills. Most of these goals are gained by expanding the current single-year algebra-one course into two years. The model proposes moving “learning to write proofs” from the traditional geometry course into a separate discrete mathematics course. It requires statistics for every student, and requires a senior-level modeling course for every college-going student. In addition, the proposed model creates opportunities for students to move …

Quantitative Reasoning In The Contemporary World, 2: Focus Questions For The Numeracy Community, Bernard L. Madison, Shannon W. Dingman

Numeracy

Numerous questions about student learning of quantitative reasoning arose as we developed, taught and assessed the Quantitative Reasoning in the Contemporary World course described in the companion paper in this issue of Numeracy. In this paper, we present some of those questions and describe the context in which they arose. They fall into eight general problem areas: learning that is context-bound and does not easily transfer (i.e., situated learning); the need for a productive disposition regarding mathematics; the connection between QL and mathematical proficiency; the persistence of students, despite our efforts, for using the wrong base for percents; the inconsistent …

Quantitative Reasoning In The Contemporary World, 1: The Course And Its Challenges:, Shannon W. Dingman, Bernard L. Madison

Numeracy

The authors describe successes and challenges in developing a QL-friendly course at the University of Arkansas. This work is part of a three-year NSF project Quantitative Reasoning in the Contemporary World (QRCW) that supported the expansion of the course. The course, MATH 2183, began experimentally in Fall 2004 as a section of finite mathematics known informally as “News Math” for 26 students from arts and humanities disciplines. Over the past six years, the course has evolved and now MATH 2183 is approved to satisfy the College of Arts and Sciences mathematics requirement for the Bachelor of Arts degree. In 2009-2010, …

Advancing Assessment Of Quantitative And Scientific Reasoning, Donna L. Sundre, Amy D. Thelk

Numeracy

Advancing Assessment of Quantitative and Scientific Reasoning is a four-year NSF Project (DUE-0618599) in part designed to evaluate the generalizability of quantitative (QR) and scientific reasoning (SR) assessment instruments created at James Madison University to four other four-year institutions with very distinct missions and student demographics. This article describes the methods, results, and findings we obtained in our studies. More specifically, we describe how to conduct content-alignment exercises in which faculty members map each item from a prospective test to the student learning objectives taught at the institution. Our results indicated that 92-100% of the QR and SR items were …

Creating And Validating An Instrument To Measure Middle School Mathematics Teachers’ Technological Pedagogical Content Knowledge (Tpack), Geri A. Landry

Doctoral Dissertations

Due to the pervasiveness of technology, the role and preparation of teachers as they strategically use technology for teaching mathematics needs to be examined. Technological pedagogical content knowledge (TPACK) is a framework for knowledge as teachers develop meaningful learning experiences for their students while integrating strategic use of technology (Mishra & Koehler, 2006). The purpose of this study was to develop a survey for measuring mathematics teachers’ Mathematical Technological Pedagogical Content Knowledge (M-TPACK). The survey measures the domains of mathematics content, pedagogy and technology. This mixed methods study first examined middle school mathematics teachers’ TPACK through the use of an …

The Impact Of Experience On Elementary School Teacher Affective Relationship With Mathematics, John Salzer

Ed.D. Dissertations

This study was designed as an exploratory examination of the impact of teaching experience on elementary school teachers’ affective relationships with mathematics. A self-reporting survey was used to examine a wide variety of experience factors, including factors related to quantity of experience, type of experience, and post-certification training opportunities (n = 275). Participants were also asked to identify services that might impact their affective relationships with mathematics. This study resulted in recommendations for seven follow-up studies to gain insight into factors that significantly correlated to teacher attitudes toward math or to their perceived changes in attitudes over time. Recommended practices …