Education Commons^™

The Impact Of Pictorial Representations In Teaching Math Word Problems To A Child With Autism, Hossein Shirvani

Teaching and Learning Faculty Publications and Presentations

The study used a single subject A-B-A research design because it used one subject, an 18-year old boy participant who was diagnosed with having higher spectrum Autism (Asperger). The investigator examined the effect of pictorial representations of math word problems on the participant’s performance in solving one step, two steps, and three steps math word problems. The investigator found that the use pictorial representations improved the participant’s math achievement in solving math word problems. The investigator also found that the participant had difficulty understanding words with mathematical connotations.

Elementary Students’ Perceptions Of Gender Equity In Mathematics Classes, Debra Jacobson

Doctoral Dissertations and Projects

There have been various research studies stating that in elementary school, gender bias in all subjects is nonexistent. However, other researchers interested in gender equity in the mathematics classroom have recognized that gender bias does not occur in early elementary school grades but exists by middle school. Thus, research in this area is greatly needed. This study examined children in the third, fourth, and fifth grades to determine whether students’ perceptions of their own mathematical abilities relate to their perceptions of their teacher’s beliefs about gender bias in mathematics. Pearson Product-Moment correlation and Point-Biserial correlations were used to analyze data. …

Mathematical Game Creation And Play Assists Students In Practicing Newly-Learned Challenging Concepts, Kalyn Jon Cody, Audrey C. Rule, Benjamin R. Forsyth

Curriculum & Instruction Faculty Publications

Twenty-four high-performing fifth grade students (aged 10 - 11 years) participated in a year-long study in which conditions alternated for six instructional units between lecture-based mathematics instruction and practice through solving additional problems in small groups versus practice through designing and playing mathematics games related to the topic. Students scored similarly on all units at the time of the posttest. Creating games allowed students to examine concepts on their own, making sense of them at a deeper level, avoiding confusion. Game-making may also have made the mathematics more personal, relevant, and interesting. The authors suggest that mathematics teachers consider adding …

Work Integrated Learning In Stem In Australian Universities: Final Report: Submitted To The Office Of The Chief Scientist, Daniel Edwards, Kate Perkins, Jacob Pearce, Jennifer Hong

Higher education research

The Australian Council for Educational Research (ACER) undertook this study for the Office of the Chief Scientist (OCS). It explores the practice and application of Work Integrated Learning (WIL) in STEM, with a particular focus on natural and physical sciences, information technology, and agriculture departments in Australian universities. The project involved a detailed ‘stocktake’ of WIL in practice in these disciplines, with collection of information by interview, survey instruments, consultation with stakeholders and literature reviews. Every university in Australia was visited as part of this project, with interviews and consultation sessions gathering insight from more than 120 academics and support …

Uno Stem Annual Report 2015, Uno Stem Leadership Team

Student Learning

The following document is a brief Annual Report for the STEM Priority at UNO as of May 1, 2015. The document builds upon past strategic planning discussions, meetings,and conversations and aligns with the UNO STEM Strategic Plan, as first published in the Fall of 2013. It is important to note that the annual report is essentially a“work in progress” and will be continually refined during the next year and updated as initiatives progress. It is also a “springboard” for a continued and strategic review of our local STEM statistics and the professional literature on STEM learning, and it serves as …

The Impact Of Non-Band Music Participation On The Academic Achievement Of 6th Grade Mathematics Students, Sherica Denise Jones-Lewis

Doctoral Dissertations and Projects

It is hypothesized that participation in non-band music has a positive impact on mathematics achievement. Maslow's Hierarchy of Needs, the theory of self-determination, multiple intelligence theory, and brain research provide a theoretical foundation in support of this conjecture. This causal comparative study seeks to address three questions related to the hypothesis: a) is there a difference between the academic achievement of 6th grade mathematics students based on non-band music participation status; b) is there a difference between the academic achievement of 6th grade males based on non-band music participation; and c) is there a difference between the academic achievement of …

The Effects Of Problem-Based Learning On Mathematics Achievement Of Elementary Students Across Time, Brittany Marie Crowley

Masters Theses & Specialist Projects

The present study specifically evaluated the long-term effects of problem-based learning (PBL) instruction on the mathematics achievement of students who demonstrated higher ability in the subject area than their comparable peers. Subjects included 65 students from six south-central Kentucky elementary schools who participated in Project Gifted Education in Math and Science (Project GEMS), a grant partially funded through the Jacob K. Javits Gifted and Talented Students Education Program. The students were assigned to one of three conditions – PBL-Plus, PBL, or Control – based upon school of attendance. The participants were then administered baseline testing in the fall of the …

The Power Of Improvisational Teaching, Elizabeth Graue, Kristin Whyte, Anne E. Karabon

Teacher Education Faculty Publications

In this study we examine how improvisation can facilitate understanding how teachers respond to children's multiple resources, interests, experiences, and skills in early childhood programs. Improvisation is conceptualized as a responsive, partnered activity through which teachers and children generate meaning and knowledge together. In our analysis we show improvisation is taken up differently in two classrooms and how it variably provides opportunities for learning. Two cases from a professional development program designed to support culturally and developmentally appropriate early mathematics are used to demonstrate the possibilities improvisation creates in era of increasing standardization of curriculum.

Cosmic (Center Of Science And Mathematics In Context), Roxane Johnson De Lear

Office of Community Partnerships Posters

The Center of Science and Mathematics in Context (COSMIC) is a joint venture of the College of Education and Human Development and the College of Science and Mathematics at UMass Boston. This presentation highlighted their STEM initiatives for English Language Learners (ELLs), engineering learning in urban elementary schools, and professional development for teachers of Advanced Placement courses.

When And How To Appropriately Implement Teaching Tools And Strategies For Early Childhood Numeracy, Elizabeth Bartha, Julie Dombai

Education: Student Scholarship & Creative Works

The Augustana/Longfellow Number Sense Project (NSP) is a collaborative action research project that was created to provide purposeful, individualized instruction for Longfellow’s kindergarteners and enhance the teacher education program at Augustana. During this program, we work with Kindergarten students on mathematical concepts and skills. Our lessons incorporate both hands-on materials and educational software into our lessons. As we became familiar with this software, we began to suggest ways we could improve the software as well as ideas for new applications designed to help meet needs the students encountered in the classroom. Because the students interacted with a variety of teaching …

Does Being Bilingual Make You Better At Math?, Enxhi Elezi

Honors Projects in Mathematics

The purpose of this study is to examine if there is any relationship between being bilingual, defined as speaking your native language at home and another language in school, and your mathematical ability. Data from the National Longitudinal Study of Adolescent Health was used to compare the math grades of students who were not born in the US and speak English, Spanish, or Other at home. Also, data from the Bryant University first year students was used to test if students who speak a different language at home have a higher mathematical average than their monolingual peers. Results show that …

Standardized Testing: What Is It Good For? A Case Study In Connecticut, Megan Mapp

Honors Projects in Mathematics

The case study was developed in an attempt to shed more light on the debate of standardized testing. The goal of the study was to find evidence to support whether or not standardized testing is worth doing in public secondary schools. To investigate this question, the state standardized math test scores of three Connecticut public high schools were analyzed. The average math scores over thirteen years were observed and statistical analysis was performed to see if any significant differences existed between the three schools. Tests were performed before and after the change in standardized test. The graduation rates of the …

Comparison Of Linear Functions In Middle Grades Textbooks From Singapore And The United States, Linda D. Fowler

FIU Electronic Theses and Dissertations

Many U.S. students do not perform well on mathematics assessments with respect to algebra topics such as linear functions, a building-block for other functions. Poor achievement of U.S. middle school students in this topic is a problem.

U.S. eighth graders have had average mathematics scores on international comparison tests such as Third International Mathematics Science Study, later known as Trends in Mathematics and Science Study, (TIMSS)-1995, -99, -03, while Singapore students have had highest average scores. U.S. eighth grade average mathematics scores improved on TIMMS-2007 and held steady onTIMMS-2011. Results from national assessments, PISA 2009 and 2012 and National Assessment …

Expect The Unexpected When Teaching Probability, Karen Koellner, Mary Pittman, Jonathan L. Brendefur

Curriculum, Instruction, and Foundational Studies Faculty Publications and Presentations

Probability has recently made its way into many textbook series and standards documents (NCTM, 2000; NGA, 2010). When students engage in probability problem solving many unexpected situations can arise due to the counterintuitive nature of probability concepts. These situations can be difficult for students and challenging for teachers to analyse during teaching. Recently, as facilitators of a Mathematics Science Partnership grant workshop on probability, we had the opportunity to engage middle school teachers in professional development workshops as well as in their classrooms. In this article, we discuss a rich probability task used with these teachers along with two scenarios …

Imagining A Future In Prek: How Professional Identity Shapes Notions Of Early Mathematics, Elizabeth Graue, Anne E. Karabon, Katherine Kresin Delaney, Kristin Whyte, Jiwon Kim, Anita Wager

Teacher Education Faculty Publications

This article describes how early childhood teachers engaged in a public preK professional development program. We examine how developing teacher identities mediated engagement with the discourses of developmentally appropriate practice, early mathematics, and funds of knowledge and how they connected present practice to an imagined future. We found that helping them to connect practice experience and new mathematical content knowledge through play allowed them to envision a meaningful place for math with young children.

The Relationship Between Middle School Mathematics Teacher Background And Efficacy During The Transition To Common Core, Stacy Plemons

Doctoral Dissertations and Projects

The purpose of this correlation study was to investigate the relationship between teacher background training and teaching efficacy for instructing mathematics in the middle grades during the transition to Common Core State Standards. Participants included 37 mathematics teachers in grades six, seven, and eight in the CORE East TN region. Surveys containing the Mathematics Teaching Efficacy Beliefs Instrument (MTEBI) were electronically administered to determine the dependent variables: self-efficacy (personal teaching efficacy) and outcome expectancy for teaching mathematics. Additional questions measured the independent variable, teacher background training, defined by number of college mathematics course hours taken, number TNCore mathematics training days …

Pre-Service And In-Service Teachers’ Rubric Assessments Of Mathematical Problem Solving, Grant Kuehl, Kimberly Sofronas, Abigail Lau

NERA Conference Proceedings 2014

This paper will report findings from a study designed to explore pre-service and in-service teachers’ rubric assessments of 4^th-grade student mathematics work samples. Pre-service and in-service elementary school teachers were recruited to participate in this survey-based research which included three hypotheses: (a) in-service teachers would report greater confidence levels using rubrics and exhibit better attitudes toward assessment than pre-service teachers, (b) in-service teachers would be more reliable in their rubric scores than pre-service teachers, and (c) in-service teachers would identify greater differences than pre-service teachers in their evaluations of the work samples. Descriptive statistics, t-tests, and qualitative methods …

A Glimpse Into Secondary Students’ Understanding Of Functions, Jonathan L. Brendefur, Gwyneth Hughes, Robert Ely

Curriculum, Instruction, and Foundational Studies Faculty Publications and Presentations

In this article we examine how secondary school students think about functional relationships. More specifically, we examined seven students’ intuitive knowledge in regards to representing two real-world situations with functions. We found students do not tend to represent functional relationships with coordinate graphs even though they are able to do so. Instead, these students tend to represent the physical characteristics of the situation. In addition, we discovered that middleschool students had sophisticated ideas of dependency and covariance. All the students were able to use their models of the situation to generalize and make predictions. These findings suggest that secondary students …

Mathematics Teachers’ Use Of The Culturally Relevant Cognitively Demanding Mathematics Task Framework And Rubric In The Classroom, Shelly Jones

NERA Conference Proceedings 2015

Because of the increasing diversity in many classrooms as well as the need to make mathematics relevant for all students, it is important for teachers to implement culturally relevant pedagogy, but also challenge students by maintaining the cognitive demand of mathematics tasks. The purpose of this study is to learn best practices for designing and implementing culturally relevant cognitively demanding (CRCD) mathematics tasks and using the CRCD Mathematics Task Rubric (Matthew, L., Jones, S., & Parker, Y.A., 2013) to examine teacher-created tasks. Teachers who chose to participate in the study took a first step in becoming culturally relevant educators.

An Explanation For The Use Of Arrays To Promote The Understanding Of Mental Strategies For Multiplication, Lorraine Day, Derek Hurrell

Education Papers and Journal Articles

This article provides a convincing argument for using arrays to promote students’ understandings of mental computation strategies for multiplication. Also a range of different examples that illustrate the benefits of arrays in the primary classroom are provided.

Preparing Secondary Mathematics Teachers: A Review Of Research, Gregory Hine

Education Conference Papers

The international literature base concerning the preparation of pre-service secondary mathematics teachers has grown steadily over the past two decades, yet there appears to be no consensus on a best practice approach. A review of three research projects (2 American; 1 Australian) that focus on different aspects of secondary mathematics teacher preparation provides consideration for universities
wishing to strengthen existing programs.

From Arrays To Algebra, Lorraine Day

Education Conference Papers

By identifying the learning experiences that need to be developed in the primary school, and how secondary teachers can build on these experiences, ensures solid algebraic understanding and a smooth transition between primary and secondary mathematics. Using concrete materials, within a concrete-representational-abstract pedagogical approach, may be seen as one among many methods that contribute to the overall process of developing algebraic skills. Linking an area-based model to previous understandings involving numbers should assist the conceptual understanding of algebraic expansion and factorisation to ensure that students are not just fluent in algebraic manipulation but also understand how the processes work.

Mathematics: A Good Predictor For Success In A Health Science Degree, G Hine, R Anderton, C Joyce

Education Conference Papers

Research-based literature indicates that secondary school mathematics performance is highly predictive of university performance Moreover, scholars suggest that success in secondary mathematics courses translates into success in tertiary degrees where mathematics is required. This paper examines the extent to which the completion of secondary school mathematics courses is predictive of academic success for 57 first-year students enrolled in a Health Science degree at The University of Notre Dame Australia (UNDA) (Fremantle Campus). Using the University’s databases, the level of mathematics completed at secondary school was examined against gender, Tertiary Entrance Ranking (TER) and Grade Point Average (GPA). A statistical analysis …

Effects Of Computer-Based Visual Representation On Mathematics Learning And Cognitive Load, Hsin I. Yung, Fred Paas

Faculty of Social Sciences - Papers (Archive)

Visual representation has been recognized as a powerful learning tool in many learning domains. Based on the assumption that visual representations can support deeper understanding, we examined the effects of visual representations on learning performance and cognitive load in the domain of mathematics. An experimental condition with visual representations was compared to a control condition without visual representations among primary school students. The hypothesis that learning with visual representations would result in higher learning performance and lower cognitive load than learning without visual representations was confirmed by the results. Theoretical and practical implications of the findings are discussed.

Mathematics Education In A Multilingual And Multicultural Environment, Anjum Halai, Richard Barwell

Book Chapters / Conference Papers

No abstract provided.

Monitoring Trends In Educational Growth: A Partnership Service To Monitor The Educational Growth Of Students In The Early To Middle Years Of Schooling, Australian Council For Educational Research (Acer)

Monitoring Trends in Educational Growth (MTEG)

Monitoring Trends in Educational Growth (MTEG) offers a flexible, collaborative approach to developing and implementing an assessment of learning outcomes that yields high-quality, nationally relevant data. MTEG is a service that involves ACER staff working closely with each country to develop an assessment program that meets the country’s monitoring needs while being based as closely as possible on a set of defined design principles and quality standards.

Mteg Afghanistan 2013 : Preliminary Database For Grade 6, Australian Council For Educational Research (Acer)

Monitoring Trends in Educational Growth (MTEG)

This is the the preliminary database for the Grade 6 Afghanistan Monitoring Trends in Educational Growth (MTEG) results. Published also at: https://www.acer.edu.au/files/AFG_MTEG_G6_DATABASE.zip

Using Context-Aware Ubiquitous Learning To Support Students' Understanding Of Geometry, Helen Crompton

Teaching & Learning Faculty Publications

In this study, context-aware ubiquitous learning was used to support 4th grade students as they learn angle concepts. Context-aware ubiquitous learning was provided to students primarily through the use of iPads to access real-world connections and a Dynamic Geometry Environment. Gravemeijer and van Eerde’s (2009), design-based research (DBR) methodology was used in this study. As a systematic yet flexible methodology, DBR utilizes an iterative cyclical process of design, implementation, analysis, and revision. Using this particular DBR methodology, a local instruction theory was developed that includes a set of exemplar curriculum activities and design guidelines for the development of context-aware ubiquitous …

Research Trends In The Use Of Mobile Learning In Mathematics, Helen Crompton, Diane Burke

Teaching & Learning Faculty Publications

The use of mobile learning in education is growing at an exponential rate. To best understand how mobile learning is being used, it is crucial to gain a collective understanding of the research that has taken place. This research was a systematic review of 36 studies in mobile learning in mathematics from the year 2000 onward. Eight new findings emerged: (1) The primary purpose of most studies was to focus on evaluating mobile learning. (2) Case studies and experimental design were the main research methods. (3) Most studies report positive learning outcomes; (4) Mobile phones were the mobile device used …