Education Commons^™

Understanding And Advancing College Students' Mathematical Reasoning Using Collaborative Argumentation, Rachel Kay Heili

MSU Graduate Theses

This study explored students’ mathematical reasoning skills and offered supports to advance them through a collaborative argumentation framework in a college intermediate algebra class. The goals of this study were to make observations about student reasoning, identify specific actions to address those observations, and document student growth in reasoning as a result of those actions. An iterative analysis, mixed method study was conducted in which the researcher engaged students in responding to questions that required conceptual understandings using a collaborative argumentation framework as a tool to identify and code components of their responses—claim, evidence, and reasoning. After coding and analyzing …

The Advantages Of Algebra For Learning Proof, Samuel Otten, Mitchelle M. Wambua

Colorado Mathematics Teacher

Calls to expand proof beyond geometry are usually based on the general benefits of proving for students, but this essay argues that proof should be extended to algebra because the representational systems in algebra are well suited for understanding the generality and deductive flow of proofs.

Developing Purposeful Questions And Analyzing Student Reasoning: Two Tools, Frederick Peck, Jessica Alzen, Derek Briggs, Raymond Johnson

Colorado Mathematics Teacher

We introduce two tools to help teachers develop purposeful questions and collaboratively analyze student reasoning.

Level Penalaran Proporsional Siswa Dalam Memecahkan Missing Value Problem, Anton Prayitno, Alvia Rossa, Febi Dwi Widayanti

Jurnal Riset Pendidikan Matematika

Tujuan penelitian deskriptif kualitatif ini adalah untuk mendeskripsikan level penalaran proporsional siswa kelas VIII SMP dalam memecahkan masalah satu nilai yang tidak diketahui (missing value problem). Instrumen penelitian ini berupa lembar tugas tentang masalah satu nilai yang tidak diketahui yang telah di validasi. Subjek penelitian ini adalah siswa kelas VIII SMP Negeri 1 Kalipare Malang dengan jumlah 33 siswa. Prosedur pengambilan data diawali dengan siswa diminta mengerjakan instrumen penelitian. Setelah mendapat data hasil pekerjaan siswa, dipilih tiga siswa sebagai subjek penelitian untuk dilakukan wawancara dengan tingkat penalaran proporsional yang berbeda. Hasil penelitian menunjukkan bahwa penalaran proporsional siswa berada pada …

A Granular Account Of Student's Understanding Reasoning Within An Everyday And Scientific Contexts, Grace M. Gonnella

Electronic Theses and Dissertations

Teachers and educational researchers in the Maine Physical Sciences Partnership (Maine PSP) at the University of Maine identified making quality scientific arguments as a struggle for students. Not only is argumentation hard, but reasoning is the hardest component of an argument. Many frameworks have been developed to target teaching about argumentation but do not address how to teach one component of an argument in isolation. Educational practitioners encourage using everyday context to learn about arguments in the scientific context, but there is limited support in what is the best method. The first purpose of this research was to understand a …

Assessing Student Understanding Of Reasoning Using Argument-Based Contrast Matrices, Ethan Geheb

Electronic Theses and Dissertations

There is strong national interest in increasing student proficiency in STEM, which includes the learning and practice of scientific argumentation. The codevelopment of scientific knowledge and argumentation has shown to positively influence student general understanding of argument construction, scientific knowledge and principles. Research indicates students continue to struggle with constructing complete arguments, with specific difficulty in correctly incorporating reasoning. Numerous frameworks have been developed to support student learning about argumentation. These frameworks contain common teaching strategies for introducing and teaching reasoning within the context of a science classroom. However, these strategies do not specifically target student struggle with using reasoning, …

Students' Reasoning With Haptic Technologies: A Qualitative Study In The Electromagnetism Domain, Sadhana Balachandran

Open Access Theses

With abundant applications in the medical training and entertainment industry, haptic technology is slowly making its way into the realm of science education, particularly in conveying abstract and non-visible concepts. Electric field is one such abstract concept. Past studies have shown that learning concepts such as electric fields in a traditional classroom can be quite challenging since students have a hard time visualizing the phenomena and applying its effects to reason. Furthermore, these concepts are the building blocks for more complex concepts such as matter and molecular interactions. Visuo-haptic devices provide a great platform to enable students to visualize and …

Critical Thinking To Justify An Answer In Mathematics Classrooms, Angelique E. Brown

Walden Dissertations and Doctoral Studies

Students' critical thinking in mathematics was a concern for grade 5 through 8 teachers at a Title 1 public school in the northeastern United States because of the students' poor performance on constructed response questions on the state's mathematics exam. In this exam, students were required to justify their answers in writing. When teachers recognize the connection between writing and critical thinking, they can devise strategies to help students develop mathematical literacy. The purpose of this qualitative case study was to explore how 5th through 8th grade mathematics teachers use the GoMath mathematics literacy program to teach the critical thinking …

Introducing Writing Assignments In Engineering Technology Courses To Enhance Technical Writing Skills And Critical Thinking, Otilia Popescu, Vukica M. Jovanovic

Engineering Technology Faculty Publications

This study was prompted by the university wide initiative to improve students' technical writing skills across-the-curriculum by introducing low stakes writing assignments as early as in their freshman year. Effective written communication skills are important for engineering education, with critical thinking being one of the most important aspects of the learning process at the college level. However, the efforts in required core curriculum English and communication courses are not always further integrated into engineering curriculum. Introducing a technical paper writing assignment in lower division engineering courses had the purpose of helping students to be better prepared for major writing assignments …

Pengaruh Pendekatan Analogi Personal Terhadap Prestasi, Penalaran Dan Kemandirian Siswa Materi Dimensi Dua Di Smk, Pivi Alpia Podomi, Jailani Jailani

PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika

Tujuan penelitian ini adalah untuk (1) mendeskripsikan pengaruh pendekatan analogi personal terhadap prestasi, penalaran dan kemandirian dan (2) mendeskripsikan keunggulan pembelajaran dengan menggunakan pendekatan analogi personal dibandingkan dengan pembelajaran konvensional ditinjau dari prestasi, penalaran, dan kemandirian. Penelitian ini merupakan penelitian eksperimen semu. Populasinya adalah seluruh siswa kelas X jurusan Multimedia SMK Negeri 1 Kotamobagu yang terdiri dari 4 kelas dan dari 4 kelas tersebut diambil sampel dengan undian 2 kelas sehingga terpilih kelas X MM2 dan X MM4. Dari kedua kelas tersebut diundi dan diperoleh kelas X MM2 terpilih sebagai kelas eksperimen dan kelas X MM4 sebagai kelas kontrol. Instrumen …

The Introduction Of Proof In Secondary Geometry Textbooks, Samuel Otten, Lorraine Males, Nicholas J. Gilbertson

Department of Teaching, Learning, and Teacher Education: Faculty Publications

Explicit reasoning-and-proving opportunities in the United States are often relegated to a single secondary geometry course. This study analyzed the reasoning-and-proving opportunities in six U.S. geometry textbooks, giving particular attention to the chapter that introduced proof. Analysis focused on the types of reasoning-and-proving activities expected of students and the type of mathematical statement around which the reasoning-and-proving took place, be it general or particular. Results include the fact that reasoning-and-proving opportunities in student exercises were predominantly of the particular type, whereas textbook exposition most commonly had general statements. Within the chapters introducing proof, opportunities for students to develop proofs were …

Learning To Teach Mathematics With Reasoning And Sense Making, Amy L. Nebesniak

College of Education and Human Sciences: Dissertations, Theses, and Student Research

This study uses teacher research to examine teacher learning in the context of instructional coaching. The author, a mathematics instructional coach, engaged in an intense three-week coaching relationship with a high school Algebra teacher. A detailed description of the teaching and learning of quadratics that took place during this research provide information about what and how a teacher learns to teach mathematics with reasoning and sense making. Mapping the terrain of quadratics deepened the teacher’s understanding of the mathematical content and encouraged him to adapt his textbook in order to build mathematical reasoning. Through the coaching process, the teacher also …

Use Of Cognitive Constructs In Linear Algebra, Azucena Zamora

Open Access Theses & Dissertations

Thesis analyzed the presence of two cognitive entities-- modes of thinking and metonymies and metaphors- in the reasoning of three students enrolled in a first year matrix algebra course at a southwest university via the responses given to a set of eight questions asked during one-on-one interviews. The findings of our analysis shed light on the cognitive constructs that students employ to form their understanding of linear algebra concepts. Furthermore, our findings provide clues about the ways in which students move from one mode of thinking to another in the context of varying levels of exposure to graphical, algebraic, and …

A Case Study Of Culturally Responsive Teaching In Middle School Mathematics, Rosanne Fulton

Electronic Theses and Dissertations

This dissertation is a case study of culturally responsive teaching in middle school mathematics. The study contributes to the emerging definition of learning experiences in mathematics that support all middle school students through the use of culturally responsive teaching strategies. These experiences are organized to actualize the balance between accommodating the individual student’s culture, needs and interests and supporting the attainment of appropriate mathematics learning goals.

The research site was chosen because of its diverse and changing student demographics, and because of the achievement and growth rates of these students. Data collected from classroom observations of three middle school mathematics …

An Action Research Study Involving Fifth-Grade Students Learning Fractions Through A Situative Perspective With Story Problems, Colleen Allen

Electronic Theses and Dissertations

The purpose of this action research study was to investigate the affects of teaching through a situative perspective with story problems on students' understanding of fraction concepts and operations in my fifth-grade mathematics classroom. Students participated in twelve weeks of instruction. Data was collected in the form of pre and post tests, audiotaped and videotaped recordings of instructional sessions, and student work samples. Data analysis revealed that my students constructed their own knowledge about various fraction concepts and operations because students engaged in discussions, after solving story problems, that developed, extended and restructured their knowledge. One example of this occurred …

Reasoning About Motion: A Case Study, Tiffini Lynn Glaze

Theses and Dissertations

Several dance and industrial design students were given the opportunity to attend a non-traditional mathematics course. The nature of this course prompted student interaction and expected collaboration. My research focuses on one dance student, Sara, who did not consider herself a strong mathematics student, but who understood physical motion very well. This paper explores the evolution of Sara's representations for physical motion in a given task, and discusses her reasoning for keeping or dismissing various parts of her representations during the course of this task. I examine first how Sara learns mathematics with understanding in this task, and second how …

How To Improve Students' Problem Solving Skills: K-4, Chuong Hoang Pham

Theses Digitization Project

No abstract provided.