Education Commons^™

Physics Inventory Of Quantitative Literacy: A Tool For Assessing Mathematical Reasoning In Introductory Physics, Suzanne W. Brahmia, Alexis Olsho, Trevor I. Smith, Andrew Boudreaux, Philip Eaton, Charlotte Zimmerman

Physics & Astronomy

One desired outcome of introductory physics instruction is that students will develop facility with reasoning quantitatively about physical phenomena. Little research has been done regarding how students develop the algebraic concepts and skills involved in reasoning productively about physics quantities, which is different from either understanding of physics concepts or problem-solving abilities. We introduce the Physics Inventory of Quantitative Literacy (PIQL) as a tool for measuring Quantitative Literacy, a foundation of mathematical reasoning, in the context of introductory physics. We present the development of the PIQL and evidence of its validity for use in calculus-based introductory physics courses. Unlike …

An Exploration Of Manipulatives In Math Education, Jade Monte

Honors Program Theses and Projects

Pre-existing literature has shown that the education system needs to re-evaluate mathematical teaching practices in a manner that can boost students’ confidence in mathematics. Thus, the research is to investigate the use of manipulatives in reducing students’ anxiety by increasing their learning experience and engagement in mathematics. Furthermore, the purpose of this thesis is to explain the interconnectedness of math manipulatives, student engagement, and problem-solving. An in-depth literature review is conducted, which contains definitions, important benefits and methodologies of manipulatives, as well as the teacher’s role regarding these three terms. When manipulatives, student engagement, and problem-solving are in harmony, students …

Mentoring Prospective Engineering Students Through The After School Program "Girls In Engineering" Focused On Building An Underwater Remotely Operated Vehicle, Vukica M. Jovanović, Deborah Marshall, Jeff Warren Larson Jr., Abdul Rahman Badawi, Neil R. Stclair, Otilia Popescu, Murat Kuzlu, Petros J. Katsioloudis, Linda Vahala, Michael Anthony Crespo

Engineering Technology Faculty Publications

A number of studies by engineering education researchers have pointed out that all-female teams, rather than mixed teams, result in better forms of participation and interaction in engineering related after-school programs and clubs. In particular, for after-school programs or clubs that form in response to a STEM competition, all-female teams have better chances of developing. One such competition, which will be discussed in this paper, is a regional Marine Advanced Technology Education (MATE) competition in which students from Blind_Review High School have been participating for many years.For each year’s competition, an all-female team of students enrolled in the Career and …

Critical Connections Between Numeracy And Mathematics: Supplementary Materials, Dave Tout

Student learning processes

This publication contains three professional development activities targeted at teachers of mathematics. The activities for both groups and individuals focus on the challenge of word problems in maths and connecting maths to the real world. Also included are references, materials and resources related to the issue of the connections between numeracy and mathematics.

Developing Numeracy And Problem-Solving Skills By Overcoming Learning Bottlenecks, Anita Lee-Post

Marketing & Supply Chain Faculty Publications

Purpose The purpose of this paper is to present an educational approach to elevating problem-solving and numeracy competencies of business undergraduates to meet workplace demand. The approach is grounded in the theory of constraints following the Decoding the Discipline model. The authors investigated a cognitive bottleneck involving problem modeling and an affective bottleneck concerning low self-efficacy of numeracy and designed specific interventions to address both bottlenecks simultaneously. The authors implemented the proposed approach in an introductory level analytics course in business operations.

Design/methodology/approachThe authors use an empirical study to evaluate the effectiveness of the proposed approach in addressing deficiency in …

Exploring The Neural Mechanisms Of Physics Learning, Jessica E. Bartley

FIU Electronic Theses and Dissertations

This dissertation presents a series of neuroimaging investigations and achievements that strive to deepen and broaden our understanding of human problem solving and physics learning. Neuroscience conceives of dynamic relationships between behavior, experience, and brain structure and function, but how neural changes enable human learning across classroom instruction remains an open question. At the same time, physics is a challenging area of study in which introductory students regularly struggle to achieve success across university instruction. Research and initiatives in neuroeducation promise a new understanding into the interactions between biology and education, including the neural mechanisms of learning and development. These …

Effective Teaching For Place Value Understanding: A Case Study Of A Literacy-Integrated Math Curriculum Module, Young Rae Kim, Mi Sun Park

Curriculum and Instruction Faculty Publications

A lesson sequence for place value was developed as an early intervention for kindergarteners. The sequence begins with a children’s picture book involving language familiar to children and continues with hands-on activities for children to make connections between and within multiple representations of place value. Through engaging in the literacy-integrated math curriculum module, kindergartners deepened their understanding of place value and the base-ten number system, as they were consistently engaged in problem solving and mathematical discourse triggered by their own mathematical thinking, as well as purposeful questions prompted by the teacher.

Supporting Mathematics Coaches' Learning Of Probability Through Professional Development Tasks, Mary C. Enderson, Melva R. Grant, Yating Liu

Teaching & Learning Faculty Publications

This study was conducted to propose a framework of professional development tasks (PDTs) that may be used to enhance mathematics coaches’ content knowledge and understanding of student work, as well as to help them conceptualize their role in facilitating a professional learning community in school. In this qualitative design experiment, researchers developed and implemented a set of PDTs to use with elementary and middle school mathematics coaches. The PDTs, with a focus on K-8 probability topics, required coaches to conduct mathematics problem solving, student work analysis, and create a community to reflect individually and collaboratively on such experiences. Qualitative data …

The Utility Of Storytelling Strategies In The Biology Classroom, Elizabeth Csikar, Jill E. Stefaniak

STEMPS Faculty Publications

Conveying scientific information with high intrinsic cognitive load to students is a challenge. Often, students do not have the existing schema to incorporate the information in a comprehensive manner. One method that has shown promise is storytelling. Storytelling has been successfully used to convey public health information to non-experts. Therefore, it was of interest to determine whether storytelling could be used in the classroom to present information with high intrinsic load to students in a meaningful manner. This study used a post-test only quasi-experimental study design to explore the utility of storytelling as an instructional strategy in anatomy and physiology …

Exploring American Indian Students’ Problem-Solving Propensity In The Context Of Culturally Relevant Stem Topics, Young Rae Kim, Youn-Kyeong Nam

Curriculum and Instruction Faculty Publications

This study presents an out-of-school problem-solving lesson we designed for American Indian students using a culturally relevant STEM topic. The lesson was titled “Shelter Design for Severe Weather Conditions.” This shelter design lesson was developed based on an engineering design allowing us to integrate STEM topics within a traditional indigenous house-building context. This problem context was used to encourage students to apply their prior knowledge, experience, and community/cultural practice to solve problems. We implemented the lesson at a summer program on an American Indian reservation. Using the lesson, this study explores how American Indian students use cultural knowledge and experience …

Developing Creative Problem Solvers, Eric L. Mann

Faculty Presentations

Mathematics embraces creativity and beauty, attributes that are often hidden when algorithms and computational speed are favored. We’ll explore mathematical creativity and its implications for the teaching and learning of mathematics.

Inquiry-Based Learning: Assessing Students' Science Inquiry Skills, Abha Bhagat

Teacher India

Inquiry-based approaches to teaching yield substantial benefits to students, but assessment of students' science inquiry skills indicate more emphasis is needed on the development of inquiry-based teaching and learning in the classroom.

Conceptualizations Of Students With And Without Disabilities As Mathematical Problem Solvers In Educational Research; A Critical Review, Rachel Lambert, Paulo Tan

Education Faculty Articles and Research

Students with disabilities are often framed as “the problem” and have limited opportunities to engage in standards based mathematics leading to persistent underachievement. In this paper, we investigate a research divide between mathematics educational research for students with and without disabilities, a divide with significant differences in the theoretical orientations and research methodologies used to understand learners. Based on an analysis of 149 mathematics educational research articles published between 2013 and 2015, we found significant differences between articles focused on learners with and without disabilities. For those with disabilities, mathematical problem solving was understood primarily from behavioral and information processing …

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 …

Using A Repeated Measures Anova Design To Analyze The Effect Writing In Mathematics Has On The Mathematics Achievement Of Third Grade English Language Learners And English Speakers, Zoe A. Morales

FIU Electronic Theses and Dissertations

The gap that exists between English language learners and English speaking students’ achievement in mathematics continues to grow. Moreover, students are now required to show evidence of their mathematics knowledge through writing in standardized assessments and class assignments.

The purpose of this study was to analyze students’ writing in mathematics and the metacognitive behaviors they portrayed through their writing as they solved mathematics problems. The instruments included a pretest, two biweekly tests, and a posttest. The writing instruction encompassed students learning to solve problems by using Polya’s four phases of problem solving which was completed in 12 sessions over a …

Teaching Critical And Creative Thinking Skills Through Problem-Solving In High School Mathematics Classes, Daniel L. Albert

Critical and Creative Thinking Capstones Collection

I am a high school mathematics teacher who wants students to develop the thought process that allows them to uncover and use the patterns that are the heart of mathematics. Misconceptions belittle the subject, however, and disrupt the progress of my high school students because it disguises the purpose of studying math. My purpose in joining the Critical and Creative Thinking program at the University of Massachusetts Boston was to learn about the skills and methodologies that assist in the teaching and learning of thinking critically and creatively. This paper shows the progress and evolution of my capstone project—a set …

Rich Problem Solving Tasks, Valorie L. Zonnefeld

Faculty Work Comprehensive List

No abstract provided.

Developing Transfer Skills In A Biochemistry Class, Jeong V. Choe

Faculty Publications & Research

Students seem to struggle with transferring prior knowledge if the new problem they are given is in a different form from the way they learned the material. The process of transfer can be identified by four components: 1) recognizing the similarity between the old and new contexts; 2) identifying the potential of a certain skill or concept that has worked in the past, to give solutions to new problematic situations; 3) mental testing of the application of the potential solution; and 4) an attempt to apply the skill or concept to a new context (Georghiades 2000). These four components are …

A Primer For Mathematical Modeling, Marla A. Sole

Publications and Research

With the implementation of the National Council of Teachers of Mathematics recommendations and the adoption of the Common Core State Standards for Mathematics, modeling has moved to the forefront of K-12 education. Modeling activities not only reinforce purposeful problem-solving skills, they also connect the mathematics students learn in school with the mathematics they will use outside of school. Instructors have found mathematical modeling difficult to teach. To successfully incorporate modeling activities I believe that curricular changes should be accompanied by professional development for curriculum developers, classroom teachers, and higher education professionals. This article serves as an introduction to modeling by …