Education Commons^™

Developing Proportional Reasoning Via Lego Robotics: Experiences Of A 7th Grade Mathematics Class, Shelli L. Casler-Failing, Leah C. Swann

Middle Grades Review

A qualitatively oriented mixed methods case study was conducted to investigate the effects of incorporating LEGO robotics into a seventh-grade mathematics curriculum. Using the lenses of Social Constructivist Theory and the Five Stages of Technology Integration, this research focused on the development of proportional reasoning skills. The data show students experienced success in developing their proportional reasoning skills as they completed tasks using the robotics. The quantitative data shows evidence of growth in understanding and development of proportional reasoning. The qualitative analysis provides evidence that students developed their understanding through collaborative discussions as they worked through the different technology stages. …

Indianapolis Gems Club: Engagement In Informal Mathematics And Science Learning., Maria Eloisa Nuguid

Purdue Journal of Service-Learning and International Engagement

There continues to be a need for the representation of women in science, technology, engineering, and mathematics (STEM) fields. To address this need, the Girls Excelling in Mathematics and Science (GEMS) research team at Purdue started a GEMS club at Lew Wallace School in Indianapolis, referred to as Indy GEMS Club. GEMS research assistants Maria Eloisa Nuguid, Yi Zhu, and Grace Gochnauer worked with Professor Elizabeth Suazo-Flores. This article is a description of the first Indy GEMS Club experience that consisted of hands-on activities created by GEMS founder Laura Reasoner Jones. The activities were hidden Legos, cup stacking, building a …

A Review Of “Making Black Girls Count In Math Education: Black Feminist Vision For Transformative Teaching, Michelle Craddock Guinn

Feminist Pedagogy

No abstract provided.

Creating Mandalas For World Peace While Incorporating Mathematics, Art, Literature, Writing, And Technology, Joseph M. Furner

Transformations

Across the USA there are more and more students whose parents are from around the world. It is important teachers can effectively teach mathematics to reach all students, particularly those with limited English proficiency, while establishing interdisciplinary and cultural connections and even working toward world peace. The purpose of this paper is to share how a class of students from an elementary school in South Florida with their teacher created mandalas to teach mathematics, art, writing, and even world peace to their students. Math teachers should strive to bridge the cultural gap among all students by incorporating innovative ideas as …

Synesthesia: 3.1415... Orange.Whiteperiwinklewhiteblue..., Shelly Sheats Harkness, Bethany A. Noblitt, Nicole Giesbers

Journal of Humanistic Mathematics

In this paper we address the questions: What is synesthesia? What support(s) can teachers provide for their students who have synesthesia? Nicole, a future mathematics teacher who possesses this synesthesia “superpower”, describes how it impacted her learning. We collected data for this case study through an audio-recorded and transcribed interview, as well as from subsequent email correspondence between the three authors. We asked Nicole three kinds of questions: questions she is frequently asked, questions she would like to be asked, and questions teachers (like Shelly and Beth) might ask. Results indicate that synesthesia may have helped Nicole learn English as …

Approach To Problem Solving And Use Of Intuition By Engineering Technology Students, Meher R. Taleyarkhan, Anne M. Lucietto, Natalie L. F. Hobson, Therese M. Azevedo

Journal of Global Education and Research

Engineering technology students often forgo a methodical approach of solving or answering questions on assignments or exams in favor of an intuition-based approach, emphasizing educated guessing (Broberg et al., 2008). Faculty observations have noted these student solutions often provide explanations, usually sans calculations, to support answers the students believe to be reasonable when in reality deviated from the correct answer. An extensive study was developed to assess several distinctions between student intuition and use of cognition in problem solving, as related to a generalized student population. The study was comprised of a survey and interview. The survey utilized two instruments, …

Creative Learning With Music And Mathematics: Reflections On Interdisciplinary Collaborations, Graham Johnson, Alesia M. Moldavan

The STEAM Journal

Culturally responsive content, accessible and inclusive tools, and meaningful interdisciplinary tasks can aid in developing equitable and creative learning environments. Music and mathematics are ideal disciplines for interdisciplinary creative learning. In this article, we reflect on our experiences engaging in interdisciplinary music and mathematics tasks with preservice teachers. In particular, we highlight specific efforts taken to design and implement a creative music and mathematics workshop for use in a mathematics methods course. Guided by these experiences, we offer examples of tools and practices that have helped preservice teachers collaborate, engage in inquiry, improvise, develop empathy, and take intellectual and social …

Streaming With Butterflies: A Whole School Stream Project, Carey L. Averill, Janet M. Herrelko

Journal of Catholic Education

This study explores the commitment of a school faculty to use the pedagogical practices needed to employ a project-based unit of Science, Technology, Religion, Engineering, Arts, and Mathematics (STREAM). The unit of study concentrated on environmental sustainability of butterflies through project-based learning (PBL). Teacher interviews were analyzed to reveal the similarities and differences, strengths and weaknesses in the teachers’ reactions to implementing a cross-curricula content unit designed for a pre-kindergarten (PK) to eighth grade school. Analysis of teacher data and classroom artifacts provided evidence of: content mastery at the student levels; implementation of scaffolding for developmental levels; and the need …

Arts-Based Interdisciplinary Music And Mathematics Tasks: Exploring Conceptualizations Of Equitable Creative Learning In Teacher Education, Alesia Mickle Moldavan, Graham Johnson

Georgia Educational Researcher

Preservice teachers need opportunities in teacher education courses to explore arts-based interdisciplinary learning that can inspire connections between communities of practice and allow learners to integrate concepts and imagine creative possibilities. This study reports on preservice teachers engaged in a workshop on arts-based interdisciplinary music and mathematics tasks. Data included surveys, task-related artifacts, and participant observations to examine how preservice teachers conceptualize and engage in such tasks. Three resonating themes were identified, revealing that preservice teachers generally thought (a) music and mathematics are more engaging and relatable in interdisciplinary contexts than when taught alone, (b) interdisciplinary music and mathematics tasks …

Using Cooperative Learning To Teach Mathematics To Help Promising Ell And All Students Develop Social Skills: A Case Study, Dr Joseph M. Furner

Transformations

This paper shares the story of Jung and how a gifted young student in mathematics learns social skills and shares knowledge and also helps to improve his own learning of the English language while sharing his understanding of mathematics with others. Students working together in math classrooms all benefit in many ways including language acquisition, problem solving, math achievement, social skills, cultural differences, and a shared sense of community in a classroom, when all working together for a goal in learning mathematics while also learning social skills so to fit in better within society. Cooperative learning plays a critical role …

Mathematics Mobility In The Middle Grades: Tracking The Odds Of Completing Calculus, Kristian Edosomwan, Jamaal Young, Jemimah Young, Alana Tholen

Middle Grades Review

High school calculus has become indispensable for students seeking a college degree in a STEM field. However, in the present study, we argue that the mathematics opportunities that students seize (when afforded) in middle grades are the key to earning calculus credit in high school. To take calculus in high school, students usually need to take advanced mathematics in middle school to take the prerequisite courses. We analyzed the probability of earning credit in calculus based on a sample of (n =17,765) students and their eighth-grade mathematics courses. Using descriptive statistics and odds ratio effect sizes we found that …

Power Of Yet: The Integration Of The Culturally Responsive Literature With The Productive Struggle In Mathematics, Kathleen Crawford-Mckinney, Asli Ozgun-Koca, Kristy Rebar

Michigan Reading Journal

We used a children's book with three groups of students (ages 6-9) to foster mathematical engagement through read alouds. We will share lessons learned from this experience as we integrate children’s literature with mathematics through the lens of Power of Yet.

How To Guard An Art Gallery: A Simple Mathematical Problem, Natalie Petruzelli

The Review: A Journal of Undergraduate Student Research

The art gallery problem is a geometry question that seeks to find the minimum number of guards necessary to guard an art gallery based on the qualities of the museum’s shape, specifically the number of walls. Solved by Václav Chvátal in 1975, the resulting Art Gallery Theorem dictates that ⌊n/3⌋ guards are always sufficient and sometimes necessary to guard an art gallery with n walls. This theorem, along with the argument that proves it, are accessible and interesting results even to one with little to no mathematical knowledge, introducing readers to common concepts in both geometry and graph …

Providing Virtual Mathematics Feedback: Connecting Research To Practice, David Glassmeyer, Mary Colclasure, Laura Alevy

Georgia Educational Researcher

Feedback is an essential form of communication between the student and teacher. Research has documented the importance of feedback in advancing student mathematical and critical thinking, with renewed recommendations to provide and use feedback in mathematical instruction during the era of COVID-19. Giving personalized feedback in an online environment can be a challenge – especially in a mathematics class. This article summarizes five core principles of feedback, associated strategies for mathematics teachers to provide students virtual feedback, and notes on how we have implemented these strategies in middle school mathematics classes.

Overcoming Barriers: De-Tracking To Teach For Social Justice, Stephanie J. White

Middle Grades Review

How do we overcome tracking in mathematics to actualize the goals of teaching for social justice? Tracking is a racist educational structure that puts limits on the effectiveness of teaching for social justice. This essay presents arguments for de-tracking with explanation of how tracking negatively impacts Black and Latinx students. Readers will learn about schools and districts that have de-tracked students juxtaposed with the barriers that keep most schools from dismantling tracking. This essay calls upon schools and researchers to further investigate locally why schools do not work through these barriers to spark action and eliminate tracking.

Students' Mathematical Reasoning Ability In Solving Post-Covid-19 Pisa Model Math Problems, Linda Linda, Ira Asyura

Jurnal Riset Pendidikan Matematika

This study aims to describe the reasoning abilities of high school students in Pandeglang Regency, Indonesia in solving post-Covid-19 PISA model math problems. The subjects of this study were 80 students of two state senior high schools in Pandeglang Regency, Indonesia. The data collection used a written test consisting of four description questions in the form of PISA model math questions (levels 2, 3, 4, and 5), and were through interviews and documentation. The data analysis followed the steps of data reduction, data presentation, and conclusion drawing. The results show that the reasoning abilities of Pandeglang Regency high school students …

Participatory Action Research: Undergraduate Researchers Engaging Secondary Students In Social Justice Mathematics, Isabelle Miller, Alexis Grimes, Camryn Adkison

The Journal of Purdue Undergraduate Research

No abstract provided.

Qualitative Analysis Of Corequisite Instruction In A Quantitative Reasoning Course, Zachary Beamer

Inquiry: The Journal of the Virginia Community Colleges

In corequisite models of instruction, marginally prepared students are placed directly into college-level coursework, taught with a paired support course. Initial research suggests that such models yield significant improvements in the number of students passing credit-level mathematics when compared to previous models of prerequisite remediation. The present study employs qualitative methods to investigate methods of instruction at one community colleges to understand how instructors identify and respond to student needs. It concludes with recommendations for practice and highlights advantages of small format corequisite classes taught by the same instructor.

Mathematics Corequisite Remediation And Direct Enrollment: Addressing Misconceptions And Concerns, Zachary Beamer

Inquiry: The Journal of the Virginia Community Colleges

In Fall 2020 the VCCS will begin implementing the Direct Enrollment Pilot, building upon lessons learned in prior reforms and successes of reforms in other states. In the new corequisite model of developmental education, students at the margins of college preparation are placed directly into college coursework with a supplemental support class. This Notes in Brief article summarizes some of the research behind the transition towards this model and the implications of this scholarship on current reform efforts. It directly addresses concerns regarding the move towards corequisite instruction and provides recommendations for how to implement reforms.

Teaching A University Course On The Mathematics Of Gambling, Stewart N. Ethier, Fred M. Hoppe

UNLV Gaming Research & Review Journal

Courses on the mathematics of gambling have been offered by a number of colleges and universities, and for a number of reasons. In the past 15 years, at least seven potential textbooks for such a course have been published. In this article we objectively compare these books for their probability content, their gambling content, and their mathematical level, to see which ones might be most suitable, depending on student interests and abilities. This is not a book review (e.g., none of the books is recommended over others) but rather an essay offering advice about which topics to include in a …

Agricultural Education And Mathematics Performance Among Secondary Students, Susan W. Githua, John C. Ricketts

Online Journal for Workforce Education and Development

The purpose of this study was to determine the effects of agricultural education, FFA involvement, and SAE participation on the mathematics performance of secondary students. The study explored these factors using an ex post facto research design. Respondents in the study were secondary students enrolled in Agricultural Education program (N=80) and non-agricultural education students (N=59). Results revealed that agricultural education students had a higher mathematics mean score (M=12.15, SD=4.61) than non-agricultural education students (M=10.67, SD=3.63). There were positive statistically significant differences between mathematics performance of the students and their FFA involvement as well as SAE participation.

Parts Of The Whole: The Having Of Wonderful Ideas: Eleanor Duckworth Introduces Us To Piaget, Dorothy Wallace

Numeracy

The small book of essays by Eleanor Duckworth has been a staple of teacher education for decades, serving as a bridge between Piaget’s observations of infants and the needs of the classroom. As her examples tend to be of young children, we consider more general ideas in the context of older grades and higher education. Several of her insights are discussed with an eye to application in the field of quantitative education, highlighting the need to integrate issues of pedagogy with those of content.

Preservice Teachers As Document Detectives, Lorna Quinnell, Radha Iyer, Bronwyn Ewing

Australian Journal of Teacher Education

Literacy today relies on a readers’ ability to analyse text critically. This case study investigated preservice teachers’ critical analysis of media text containing visuals and representations. In particular, the analysis focused on mathematical factors that impact on readers’ interpretation of diverse visuals.

Data was gathered from the 23 preservice teachers, enrolled in the Graduate Diploma program at one Australian university. They participated in a series of mathematics learning sessions focused on the critical analysis of a selection of media items.

The paper argues that the ability to critically analyse graphs and visuals relies on mathematical knowledge and that the ability …

Problem-Solving Ability Of Primary School Teachers Based On Polya's Method In Mataram City, Mohammad Archi Maulyda, Vivi Rachmatul Hidayati, Awal Nur Khalifatur Rosyidah, Iva Nurmawanti

PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika

Problem-solving is an important competency that must be owned by students. Problem-solving skills can facilitate students in understanding, connecting, and using mathematical concepts. Even so, mistakes in solving mathematical problems are still made by students. One reason is the lack of habituation of problem-solving in learning mathematics. Teachers who have good problem-solving skills will find it easier to teach and do an activity about problem-solving in learning mathematics. The purpose of this study is to describe the problem-solving ability of primary school teachers based on Polya's method. This research method is descriptive-qualitative. The research subjects were primary mathematics teachers who …

Supporting Middle School Students In Tier 2 Math Labs: Instructional Strategies, Emily C. Bouck, Jiyoon Park, Mary Bouck, Jim Alspaugh, Stacey Spitzley, Angela Buckland

Current Issues in Middle Level Education

Response to Intervention (RtI) has become a common support system for students; yet, no universal RtI model exists, especially for mathematics and specifically at the middle school level. This article focuses on a specific model for delivering Tier 2 mathematics supports and services at the middle school level: math labs. Evidence–based and research–supported interventions are discussed that support the delivery of Tier 2 services within a middle school math lab RtI structure. A fictionalized vignette, drawing from multiple actual cases, is presented to highlight the use of a Tier 2 math lab within a middle school setting.

Mathematics Out Of Nothing: Talking About Powerful Mathematical Ideas With Children, Matthew Oldridge

Journal of Humanistic Mathematics

Parents and educators have powerful opportunities to introduce children to big mathematical ideas, when those ideas become necessary. Children are capable and curious. They don’t need to be sheltered from big mathematical ideas. Bring out mathematical ideas when kids are ready, or when they are needed. This article describes one such instance, when I helped my six-year-old son move beyond zero in the negative direction when subtracting.

Improvirg Mathematical Ability In The United States, Emma Winegar

Augsburg Honors Review

The United States has a deficit in the abilities of its citizens to comprehend mathematics, as compared with similar countries. Many people experience math anxiety, and in turn hate mathematics and shy away from it at all costs. Problems with the current curriculum and teaching styles in schools limit students from being successful in mathematics. Improving mathematical ability will not only lessen anxiety, but will improve society as a whole. Mathematics is crucial to survival in modern day society. It is important that the issue of the overall low level of mathematical proficiency in the U.S. be solved. This paper …

Departmentalization For Mathematics: Is It Beneficial For Teachers, Students, And Teacher Candidates?, Melinda S. Eichhorn, Courtney Lacson

Journal of Educational Research and Practice

Studies have shown that both the departmentalized and self-contained models of instruction can help students achieve strong mathematics scores on standardized tests, and school administrators must consider their teachers and students when deciding on an instructional model. However, little research has considered the effect of the instructional model on initial license teacher candidates and school–university partnerships. Drawing from a Massachusetts college’s experience with practicum placements for elementary candidates pursing a generalist license (Grades 1–6), implications for teacher preparation programs are explored as more upper elementary classrooms move to a departmentalized model for mathematics.

No Bones About It: How Digital Fabrication Changes Student Perceptions Of Their Role In The Classroom, Alexandria K. Hansen, Jasmine K. Mcbeath, Danielle B. Harlow

Journal of Pre-College Engineering Education Research (J-PEER)

This study used cultural historical activity theory to make meaning of a digital fabrication project situated in the complexity of a classroom. Using an ethnographic perspective, we observed 14 students (aged 13–14) in a middle school’s creative design and engineering class inspired by the Maker Movement. Working with the classroom teacher, a professional stuntman tasked students with fabricating a prosthetic bone for use as a movie prop using their understanding of science, technology, engineering, and mathematics. Teacher interviews and student focus groups revealed differences in perceptions between their science class and engineering class. Additionally, affordances and constraints of the 3D …

Teachers' And Students' Beliefs In Mathematics At State Senior High School 5 Semarang, Muhtarom Muhtarom, Dwi Juniati, Tatag Yuli Eko Siswono, Ismi Rahmatika

Jurnal Riset Pendidikan Matematika

The aim of this research was to discover the relationship between teachers' and students' beliefs in mathematics. The sample consisted of two mathematics teachers, twenty eight students from 10th grade natural science 6 (X IPA 6) and twenty eight students from 10th grade natural science 10 (X IPA10) at state senior high school 5 Semarang. The data were collected from questionnaires and guided interviews on beliefs about mathematics. The research results showed that both of the mathematics teachers had platonist beliefs. It was found specifically that 4.76% of students in class X IPA 6 consistently had instrumentalist beliefs, 85.71% were …