Education Commons^™

Assessing Teacher Attentiveness To Student Mathematical Thinking, Michele B. Carney, Laurie Cavey, Gwyneth Hughes

Curriculum, Instruction, and Foundational Studies Faculty Publications and Presentations

This article illustrates an argument-based approach to presenting validity evidence for assessment items intended to measure a complex construct. Our focus is developing a measure of teachers’ ability to analyze and respond to students’ mathematical thinking for the purpose of program evaluation. Our validity argument consists of claims addressing connections between our item-development process and the theoretical model for the construct we are trying to measure: attentiveness. Evidence derived from theoretical arguments in conjunction with our multiphased item-development process is used to support the claims, including psychometric evidence of Rasch model fit and category ordering. Taken collectively, the evidence provides …

Eği̇ti̇m Si̇stemi̇mi̇z Ve 21. Yüzyil Hayali̇mi̇z: 2045 Hedeflerine İlerlerken, Türkiye Için Stem Odaklı Ekonomik Bir Yol Haritası, Mehmet Aydeniz

Theory and Practice in Teacher Education Publications and Other Works

Bilimsel ve teknolojik gelişmeler, yeni sanayilerin oluşmasında, ülkelerin askeri savunma kapasitelerini artırmada, mevcut sanayilerde üretkenliği tetiklemekte, hayat kalitesinin yükselmesinde ve eğitimin erişebilirliğinde önemli bir rol oynamaya devam etmektedir. Dolayısıyla bir Ülkenin ekonomik gelişimi, bilimsel çalışma yapabilme kapasitesine, teknolojisinin gelişimine, girişimcilik ortamı ve inovasyon yapabilme kapasitesine bağlıdır.

Ekonomiye önemli katkıları olan bilimin ve teknolojinin gelişmesi, STEM alanlarında gerekli ön bilgi ve becerilere sahip, problemlere yaratıcı bir bakışla yaklaşabilen, özgür düşünebilen, sorgulayan, inovatif çözüm üretebilen, dayanışmayı önemseyen bir nesil yetiştirebilen okulların varlığına bağlıdır.

Peki Türk Eğitim Sistemi, Ülkemizin ekonomik yarışabilirlik potansiyelini yükseltecek, savunma kapasitesini artıracak, bölgesel liderliğinin bir adım öne çıkmasını sağlayacak …

Kagan Cooperative Learning Structures And The Effects On Student Achievement And Engagement, Lisa M. Farmer

Master's Theses & Capstone Projects

The purpose of this action research project is to determine if there is a correlation between Kagan cooperative learning and student achievement and engagement in mathematics. Data was collected using a mixed methods approach. Quantitative data was gathered through three math pre and posttests. Qualitative data was collected through observations and interactions with students. Analysis of the data collected suggests that students are more engaged when working in cooperative teams. Growth was also noted from pretests to the posttest.

Testing Our Assumptions: The Role Of First Course Grade And Course Level In Mathematics And English, Janet Callahan, Marcia Belcheir

Materials Science and Engineering Faculty Publications and Presentations

Methods that provide an early indicator of factors that affect student persistence are important to colleges and universities. This quantitative research focused on the role of level of entry mathematics and English and also on grades earned in those classes as they relate to persistence after one year. The research showed that by far, the variable most predictive of first-time, full-time students enrolling one year later was earning a grade of “A” in English. Compared to those who did not pass their first English course, students who earned an “A” were three times more likely to persist. The variables which …

Let's Get Physical! Teaching Mathematics Through The Lens Of Physics, Peggy Bertrand Ph.D., Lauren Jeneva Clark Ph.D.

Faculty Publications and Other Works -- Mathematics

In 2017, a professional development project, Let's Get Physical! Teaching Mathematics through the Lens of Physics, was funded by a Tennessee Higher Education Commission (THEC) Improving Teacher Quality (ITQ) grant, and was hosted by the University of Tennessee Department of Mathematics. These proceedings contain physics-based secondary mathematics lessons that guided this project. For example, in one lesson, tracking the behavior of live insects helps students learn about displacement, velocity, geometry, and measurement. In another, dropping coffee filters helps students learn about drag, logarithms, and graphical methods. Lasers and lenses can be used to teach reflection and refraction, and one …

How The Use Of Subjectivist Instructional Strategies In Teaching Multiple Sections Of An Eighth Grade Algebra Class In Guyana Relates To Algebra Achievement And Attitude Changes Toward Mathematics, Jennifer Hoyte

FIU Electronic Theses and Dissertations

In Guyana, South America, the Ministry of Education seeks to provide universal, inclusive education that prepares its citizens to take their productive places in society and to creatively solve complex, real-world problems. However, with frequent national assessments that are used to place students in high school, college or into jobs, teachers resort to using familiar strategies such as lecture, recitation and test drilling. Despite their efforts, over 56% of students are failing the Grade 6 assessments, 43% failing 10th grade Mathematics and over 60% failing college algebra courses. Such performance has been linked to students’ lower academic self-concept and their …

Testing In Today's Education: Meeting Standards Or Falling Short?, Paige E. Mangione

Senior Honors Projects

“It’s time for the test,” is something that students throughout the nation hear quite often in school. Whether it’s a test for the classroom, the school, the district, or the whole nation, our students are frequently being tested on the information they’re learning. Since the No Child Left Behind Act was initiated in 2002, it has been a requirement that schools across the nation test their students in reading and math during grades 3-8 and high school. Each state was required to establish its own academic standards as well as a state testing system that met federal requirements. By the …

Promoting Long-Term Learning Progress, Geoff N. Masters Ao

Teacher columnist – Geoff Masters

How well do we help students recognise and reflect on the long-term progress they make at school? Could progress in school mathematics learning be more like progress in music learning? Professor Geoff Masters AO discusses.

Stem Integration: Math, Meet Biology!, Lindsey Herlehy, Karen Togliatti

Publications & Research

Join us for three hands-on, inquiry-based activities integrating mathematical and scientific thinking. First, explore patterns in the powers of ten and use this information to sort a set of images and design a scale model of an E. coli's DNA. Then, simulate a colorful biotechnology application using new tools and laboratory skills. Art, science, and math intersect in an activity merging coordinate geometry, symmetry, and biotechnology skills. NGSS and CCSS practice standards will be demonstrated.

The Relationship Between Elementary Teachers' Background In Mathematics, Teaching Self-Efficacy, And Teaching Outcome Expectancy When Implementing The Common Core State Standards, Jennifer Stuart

Doctoral Dissertations and Projects

The purpose of this correlation study was to identify a possible relationship between elementary teacher background in mathematics as measured by completed college math credit hours, district-provided professional development hours of training in Common Core math standards, and years of teaching experience, and teacher efficacy in math as measured by personal teaching self efficacy and outcome expectancy. The sample in the present study consisted of 69 elementary (K-5) math teachers in a medium-sized semi-rural district located within a southern state. The data was collected using the Mathematics Teaching Efficacy Beliefs Instrument (MTEBI), an online survey that was sent to the …

The Effects Of Desmos And Ti-83 Plus Graphing Calculators On The Problem-Solving Confidence Of Middle And High School Mathematics Students, Edwin Montijo

Doctoral Dissertations and Projects

As technology in education continues to improve, research is necessary to assess the impact it is having on students’ confidence in the way students solve mathematics problems. The purpose of this quasi-experimental, non-equivalent control-group comparison study is to examine the impact the Desmos graphing calculator has on the problem-solving confidence of middle school and high school students as compared to students who use a TI-83 Plus graphing calculator while controlling for students’ math achievement scores. The students (N = 146) participating in this study were learning their respective mathematics material for an equivalent period of 12 weeks in order to …

Purposeful Movement: The Integration Of Physical Activity Into A Mathematics Unit, Kailey Snyder, Danae M. Dinkel, Connie Schaffer, Seth Hively, Amanda Colpitts

Health and Kinesiology Faculty Publications

Classroom physical activity (PA) has been linked to a multitude of health andacademic benefits. However, due to barriers such as lack of time and resourcesmany teachers are not implementing classroom PA to the degree they would liketo. One innovative solution is to integrate classroom PA into academic concepts.Based on self-determination theory, this pilot study evaluated the effectivenessof a teacher-developed purposeful movement teaching strategy on PA, on-taskbehavior and academic achievement. Two third grade classrooms participated inthis pilot study, one acting as the comparison and the other working with theschool Physical Education teacher to develop the active lessons. The evaluationconsisted of accelerometers, …

Tools For Integrating Computational Thinking And Mathematics In The Middle Grades, Immaculate Kizito Namukasa, Minakshi Patel, Marja Miller

Education Publications

Integrating computational thinking (CT) in teaching specific K-12 school curricular is a more recent development than teaching CT in university and college courses. In this article, we share some insights on teaching practices that support integrating introductory computational thinking activities with school curricular activities for middle grades students. We specifically reflect on the tools and materials to use when integrating computational thinking concepts and mathematics curricular concepts in grade 4-8 classrooms. In this paper, we refer to integration of computational thinking concepts and mathematics curricular concepts as CT and mathematics.

Where We Were…Where We Are Heading: One Multiplicative Journey, C Hurst, D Hurrell

Education Papers and Journal Articles

A journey into multiplicative thinking by three teachers in a primary school is reported. A description of how the teachers learned to identify gaps in student knowledge is described along with how the teachers assisted students to connect multiplicative ideas in ways that make sense.

Is It Time To Start Reconsidering The Teaching Of Time?, D Hurrell

Education Papers and Journal Articles

How students are taught about the difficult concept of time needs to be carefully considered, in terms of both the key aspects involved as well as the sequencing. Examples of concrete activities to support the teaching of time are included.

Reframing Mathematical Futures Ii Project: Development Of A Draft Learning Progression For Algebraic Reasoning, L Day, M Horne, M Stephens

Education Conference Papers

Curriculum documents make a clear distinction between algebraic skills and algebraic reasoning, where the development of the former is far more readily articulated than the latter. While there are many studies of algebraic reasoning, these are usually topic specific and/or highly contextual. What are the big ideas of algebraic reasoning and is it possible to map their learning trajectory? This paper reports on the preliminary phase of a large national study in Australia which is designed to move beyond the hypothetical and to provide an evidence-based foundation for a learning progression. Using rich assessment tasks designed for middle years students …

Generalisation Through Noticing Structure In Algebraic Reasoning, L Day

Education Conference Papers

“Mathematicians see generalising as lying at the very heart of mathematics” (Mason, Graham & Johnston-Wilder, 2005, p.283). The Australian Curriculum: Mathematics develops number and algebra together as they complement each other. Developing number and algebra together provides opportunities for searching for patterns, conjecturing and generalising mathematical relationships. Further, it allows the focus to be on the process of mathematics and noticing the structure of arithmetic and our number system, rather than the product of arriving at a correct answer.

Personalised Learning Framework For Enhancing Mathematics Ability, John Butler, Orla Cahill, Basel Magableh, Siobhan O'Regan

Practitioner Research Projects

Mathematics is the cornerstone of many disciplines, including computer science, accounting and the sciences. However, over the past two decades in higher education institutes, it has become increasingly apparent that there is a decline in the basic numeracy skills of first year students entering third level programs (Tariq, 2002). This has been observed in numerous Irish institutes whereby unfortunately it can also be a huge impediment in student progression into second year. Research has shown that students are under-prepared for the challenges posed by third level mathematics (Hourigan & O’Donoghue, 2007). In addition, as lecturers we are not as informed …

Vertical Whiteboarding: Riding The Wave Of Student Activity In A Mathematics Classroom, Patricia A. Forrester, Carolyn Mcphail, Suellen L. Denny

Faculty of Social Sciences - Papers (Archive)

In 2014 we commenced working on the Inspiring Mathematics and Science in Teacher Education (IMSITE) project, aimed at improving mathematics and science education in Australia by improving the recruitment, development and retention of mathematics and science teachers. In this project we undertook a range of activities, the most exciting of which was the introduction of whiteboarding as a tool to actively engage high school students with mathematics.

P-16 Partnership To Improve Students' Postsecondary Mathematics Achievement., Jenifer J. Hartman

USF St. Petersburg campus Faculty Publications

Increasing students' academic success in postsecondary endeavors is an important goal for both high school and college institutions today. However, the standards for high school graduation and college readiness are not well aligned, and successful transition from high school to college is problematic for many students, particularly in math. This article describes a P-16 collaborative effort to examine high school math achievement in relation to college math placement and how the results informed policies and practices in both organizations.

Math And Physics Activities, Maureen Miller, Hope Bragg, Christy Keefer

Integrated Math & Social Studies Lessons

Mathematics is at the core of the Hidden Figures story. These women were united by their passion for the field of mathematics. Society often portrays that there are “bad” math students, those that struggle with calculations and applications. The structure of these activities, pairing of students, permits students to support each other in working through the problems. The video clip allows students to establish connections between mathematical calculations and scientific concepts. The physics problems that students complete are motion problems that beginning rocket engineers would have solved to determine how high their rocket flew.

A Secondary Mathematics Teacher's Perceptions Of Her Initial Attempts At Utilising Whiteboarding In Her Classes, Patricia A. Forrester, Carolyn Mcphail, Suellen L. Denny

Faculty of Social Sciences - Papers (Archive)

Excellent mathematics teachers establish learning environments that encourage students to actively engage with mathematics and foster co-operative and collaborative learning. Whiteboarding, using an erasable surface on which to work and share ideas, has been shown to increase student engagement, collaboration, and higher-order thinking. We report on one teacher's experiences as she introduces whiteboarding into her secondary mathematics classroom. The teacher reports increased student confidence and collaboration and we see a shift in her focus from concerns about classroom management, to a passionate recommendation to use whiteboarding in mathematics instruction.

Visualizing Sorting Algorithms, Brian Faria

Honors Projects

This paper discusses a study performed on animating sorting algorithms as a learning aid for classroom instruction. A web-based animation tool was created to visualize four common sorting algorithms: Selection Sort, Bubble Sort, Insertion Sort, and Merge Sort. The animation tool would represent data as a bar-graph and after selecting a data-ordering and algorithm, the user can run an automated animation or step through it at their own pace. Afterwards, a study was conducted with a voluntary student population at Rhode Island College who were in the process of learning algorithms in their Computer Science curriculum. The study consisted of …

Maths Games: A Universal Design Approach To Mathematical Reasoning, Kelley E. Buchheister, Christa Jackson, Cynthia E. Taylor

Department of Child, Youth, and Family Studies: Faculty Publications

By incorporating math games into the classroom, through the principles of Universal Design teachers are able to address mathematical content, reasoning and problem solving, as well as tailoring games to address students' individual needs.

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 …

Therapeutic Breathing Techniques And Disparity Across Student Performance In English And Mathematics, Abha Gupta, Shana Pribesh, Norou Diawara

Teaching & Learning Faculty Publications

This paper explores possible correlation between Therapeutic Breathing Techniques (TBT) and improved academic performance of low achieving students in elementary school. The intervention consisted of daily breathing exercises combining two forms of TBT, namely, deep breathing and alternate nostril breathing. A semester-long quantitative study with 85 second graders was conducted to investigate the impact of above intervention on English and mathematics scores. Following one semester of intervention, the gaps between the low and high achievers had narrowed and small but significant gain-scores were found for the low achievers who had practiced TBT. In contrast, in first and third grades, where …

Give Me A Formula Not The Concept! Student Preference To Mathematical Problem Solving, Manveer Mann, Mary C. Enderson

STEMPS Faculty Publications

Purpose of Study: The purpose of this study was to assess student preference for procedural (formula-driven) versus conceptual (concept-driven) approaches to solve mathematical problems. Additionally, we evaluated differences in preferences among students who performed above average and those who performed at or below average on simple arithmetic problems.

Methods/Design and Sample: We used a single-factor (Instructional Approach: conceptual vs. procedural) between-subjects experiment. Instructional approach was manipulated using short embedded instructional videos. Students evaluated each approach on a five-point scale.

Results: We found that students (above-average and average/below-average) preferred the procedural approach to the conceptual approach. Interestingly, however, although students preferred …