Science and Mathematics Education Commons^™

Gauss And The First “Rigorous” Proof Of The Fundamental Theorem Of Algebra, Sarah Hagen, Alan Kappler

Complex Variables

No abstract provided.

The Luge & Linear Algebra, Kelly Remijan

Teacher Resources

No abstract provided.

Exploring Algebraic Thinking: In-Service Teacher Experiences, Outcomes, And Perceptions From An Algebra For All Capstone Unit Plan Project, Alexander J. Lord, Tallin Lamonaca

Publications and Research

Taking algebra is often noted as a key component for student preparation for college and career success. However, this course often serves as a barrier for secondary students to overcome due to their lack of preparation for such abstract contexts and due to a lack of meaningful professional experiences available to assist teachers develop those concepts. Initiatives such as Algebra for All were started to help educators at all grade levels develop methods to expose their students to algebraic thinking. In New York City, a five-course Algebra for All sequence was created for in-service public school educators at a local …

How To Develop A Structural Conception Of Algebra In School Students, Vesife Hatisaru

Research outputs 2022 to 2026

Algebra plays a pivotal role in school students’ mathematics learning. Students, however, have serious difficulties especially with ‘seeing’ the algebraic structures and expressing generality with algebraic symbols. These skills are not gained accidently; developing them in students takes continuous, sustained, and focused effort from both students themselves and teachers. As teachers of mathematics, what kind of classroom experience could we provide our students to prepare them for using algebra successfully? How could we assist them to develop structural conceptions of algebra? In this paper, I describe an approach based on the Mathematical Habits of Mind framework (Cuoco et al., 1996) …

Patterns, An Approach To Learning Algebra And Developing Mathematical Thinking In Primary School In Honduras, Johana Elizabeth Thomas Zapata, Alejandra Cáceres

English Language Institute

No abstract provided.

Completing The Square: From The Roots Of Algebra, Danny Otero

Pre-calculus and Trigonometry

No abstract provided.

Solving Equations And Completing The Square: From The Roots Of Algebra, Danny Otero

Pre-calculus and Trigonometry

No abstract provided.

Reflections On Inquiry-Based Learning In A First-Year Algebra Classroom: Implications For Practitioners, Gregory P. Sand

Department of Teaching, Learning, and Teacher Education: Dissertations, Theses, and Student Research

This self-study examines the learning by the teacher and students in a first-year Algebra class in a medium sized Midwestern city. The author, a secondary mathematics teacher, overviews two problems of practice and outlines methodology used to study these problems within the standard curriculum of first-year Algebra taught using inquiry-based methodology. Three units of study, Inequalities, Exponents, and Parabolas are analyzed to identify the learning of students and the mathematical and pedagogical learning of the teacher. Emergent mathematical and pedagogical themes from the analysis chapters are discussed with implications for practice.

Advisor: Stephen A. Swidler

Connecting Advanced And Secondary Mathematics, Eileen Murray, Erin Baldinger, Nicholas Wasserman, Shawn Broderick, Diana White

Department of Mathematics Facuty Scholarship and Creative Works

There is an ongoing debate among scholars in understanding what mathematical knowledge secondary teachers should have in order to provide effective instruction. We explore connections between advanced and secondary mathematics as an entry point into this debate. In many cases, advanced mathematics is considered relevant for secondary teachers simply because the content is inherently related. In this paper, we instead argue that there are connections between advanced mathematics and secondary mathematics that directly influence teaching. These are not discussions of the mathematical connections, per se, but rather discussions of specific ways in which knowing mathematical connections might influence secondary teachers’ …

Richard Dedekind And The Creation Of An Ideal: Early Developments In Ring Theory, Janet Heine Barnett

Abstract Algebra

No abstract provided.

The Power Of X, Darren B. Glass

Math Faculty Publications

In his recent book, The Math Myth: And Other STEM Delusions, political scientist Andrew Hacker argues, among other things, that we should not require high school students to take algebra.

Part of his argument, based on data some have questioned, is that algebra courses are a major contributor to students dropping out of high school. He also argues that algebra is nothing more than an "enigmatic orbit of abstractions" that most people will never use in their jobs. [excerpt]

Exploring Similarities Between Instruction In Grade 7 Ela And Mathematics Classrooms, And The Possible Benefits Of Interdisciplinary Instructional Comprehension Strategies, Danielle Caron

Honors Program Theses and Projects

This study took place in an English language arts (ELA) and mathematics classrooms at a suburban junior high school in southeastern Massachusetts. Surveys indicated that mathematical problems elicit nervousness more often than reading assignments do, and mathematical vocabulary is harder for students to understand than vocabulary of other subject. This research focused on integrating reading comprehension-strategies of vocabulary integration, graphic organizers, and visual aids within a mathematics curriculum to combat student apprehension. The purpose of this study was to provide evidence-based, interdisciplinary mathematics and ELA lesson plans in alignment with Common Core Standards to a seventh grade algebra class. Pre-assessment …

Mathematics Achievement With Digital Game-Based Learning In High School Algebra 1 Classes, Terri Ferguson

Doctoral Dissertations and Projects

This study examined the impact of digital game-based learning (DGBL) on mathematics achievement in a rural high school setting in North Carolina. A causal comparative research design was used in this study to collect data to determine the effectiveness of DGBL in high school Algebra 1 classes. Data were collected from the North Carolina End-of-Course (EOC) Test for high school Algebra 1. The data collection was broken down by comparison groups based on academic achievement as measured by the North Carolina EOC Test for Algebra 1. The comparison groups were student participants who received digital game-based instruction and tradition instruction …

An Investigation Of Palindromes And Their Place In Mathematics, Ryan Andrew Nivens

ETSU Faculty Works

What do the Honda Civic, the Mazda 626, and the Boeing 747 have in common? What about Weird Al's song Bob, the first name of Miley Cyrus' alter ego, and the 70s sensation Abba? What do all these things have in common? They all contain palindromes. While some people recognise a palindrome when they see one, fewer realise that a palindrome is a special case of a pattern and that these patterns are all around. Palindromes frequently occur in names, both of vehicles and people, and in music.

Grades 7-8 Solving Equations, Joseph Kalata

Math

This is a math lesson for middle school students on solving equations. Through this lesson students will be able to find a single answer from multiple algebra equations, be able to create visual representations to illustrate a system of equations, and understand the concept that similar figures may have different sizes. This lesson spans over a fourteen day period where students apply math knowledge to an architect project. The students are tiered by ability.

Investigating The Relationship Between High School Technology Education And Test Scores For Algebra 1 And Geometry, Richard R. Dyer, Philip A. Reed, Robert Q. Berry

STEMPS Faculty Publications

The standards-based reform movement in education that began in the 1980s has evolved. In the 1990s, the focus was on producing subject-area content standards and modifying instruction. Today, the focus has shifted to assessment, and for technology education, demonstrating the impact on children and the efficacy of the discipline within general education. The purpose of this study was to compare the Standards of Learning (SOL) End-of-Course mathematics performance of high school students who completed courses in illustration and design technology to students who have not completed an illustration and design technology course. The following research questions were developed for this …