Education Commons^™

A Method For Assessing And Describing The Informal Inferential Reasoning Of Middle School Students, Joshua Michael Goss

Dissertations

Informal Inferential Reasoning (IIR) has emerged in the last decade in the study of statistics education. Developing students’ IIR ability is seen as a way of preparing students for the important topic of Formal Statistical Inference (FSI); however, research is still needed in order to investigate how students transition between informal and formal statistical reasoning. A primary difficulty is that we do not have a way of assessing and describing students’ IIR ability levels. In order to address this, an Assessment of Informal Inferential Reasoning (AIIR) was developed, along with a Structure of Observed Learning Outcomes (SOLO) taxonomy (Biggs & …

Supporting Student Justification In Middle School Mathematics Classrooms: Teachers' Work To Create A Context For Justificaiton, Megan Staples

CRME Publications

Justification is an important disciplinary and learning practice. Despite a growing knowledge base regarding how teachers orchestrate mathematical discussions, few analyses have considered the orchestration of specific disciplinary practices such as justification. Using classroom video data from the JAGUAR project, we analyze two instantiations of extensive student justification in seventh-grade classrooms and document each teacher’s pedagogical approach that supported students’ engagement in this practice. We argue that, although there was overlap in their pedagogical repertoires, the teachers created a context for student justification in two unique ways. We document the similarities and differences in their approaches, including the nature of …

Mastery Learning In Calculus I Affects Student Learning, Grade Improvement, And Professor Exhaustion, Judith Puncochar, Don H. Faust

Conference Presentations

Three Calculus I courses were taught under conditions of either traditional teaching, 2/3 mastery, or full mastery to test four hypotheses. Under conditions of mastery learning on exams, students should attain appropriate higher-level mathematical concepts, achieve more learning of higher-level mathematical concepts, learn higher-level mathematical concepts more quickly, and evaluate mastery learning favorably. Support for all hypotheses occurred only in the 2/3 mastery condition. A shift toward higher grades was attributed to grade improvement, not grade inflation, as determined by six mathematicians with blind review of final exam items. Final exams in mastery learning courses were significantly more …

Implementing Common Core State Standards For Mathematics Through Lesson Study, John Thomas Hall

Honors Program Projects

The Common Core State Standards for Mathematics (CCSSM) represent the beginning of a new era in American education. For the first time, a majority of states are sharing expectations for student knowledge in mathematics. While standards cannot change education, the means by which these standards are implemented contribute to the mathematical achievement of students. For instance, the CCSSM incorporate separate content and practice standards for students. Content standards are familiar to most educators, but the expectation of developing mathematical skills highlighted in the practice standards will require changes to lesson preparation and teaching.

In an effort to provide pre-service and …

What Is So Negative About Negative Exponents?, Geoffrey D. Dietz

Journal of Humanistic Mathematics

While teaching college-level mathematics (from College Algebra to Calculus to Abstract Algebra), I have observed that students are often uncomfortable using negative exponents in calculations. I believe the fault partially lies in the manner in which negative exponents are taught in Algebra 1 or Algebra 2 courses, especially in rigid instructions always to write answers using only positive exponents. After reviewing a sample of algebra texts used in the United States over the last two centuries, it appears that while attitudes toward negative exponents have varied from author to author over time, the current trend is to declare explicitly that …

Assessing U.S. High School Mathematics Students' Dependency On Calculators For Basic Arithmetic Operations Involving Integers From Single-Digit Fact Families, John Jeremy Sneed

Open Access Theses & Dissertations

This study was designed to investigate the extent to which high school students use calculators to perform basic operations, and how well they actually perform those same operations without using calculators. The investigation involved the testing of math classes of students--male and female, mixed ethnicities--in grades nine through twelve. Students were asked to perform all four basic math operations (add, subtract, multiply, divide) involving integers based on single-digit addition and multiplication fact families with and without calculators. The testing was in two environments--timed and untimed, with students recording their completion times--in order to investigate discrepancies in students' calculator use in …

Review Of Principles To Actions: Ensuring Mathematical Success For All, Eric L. Mann

Faculty Publications

No abstract provided.

A Proposed Framework For Combining Smart Environment And Heuristic Diagnostic Teaching Principles In Order To Assess Students’ Abilities In Math And Supporting Them During Learning, Ardiana Sula, Evjola Spaho, Leonard Barolli, Rozeta Miho

Jandrisevits Faculty Publications

In this paper, we propose the use of the smart environment based on Internet of Things (IoT), P2P technology and Heuristic Diagnostic Teaching principles for identifying learning abilities in mathematics and creative traits for students that are diagnosed within Autism Spectrum disorder (ASD). Many children with autism are highly interested and motivated by smart devices such as computers and touch screen tablets. These types of assistive technology devices get children with autism to interact, make choices, respond, gain new communication skills and create P2P communication between children, caregivers and therapists. Our proposed system uses JXTA-Overlay platform and SmartBox device to …

Discover Math With Sketchpad Explorer, Helen Crompton

Teaching & Learning Faculty Publications

Review of Geometer's SketchPad.

Rehearsal And Enactment For Teaching In Urban School Settings: A Qualitative Study Investigating The Connections Between A Math Methods Course And Fieldwork, Rajeev Virmani

Doctoral Dissertations

In this dissertation, I studied teacher education reform efforts aimed at improving the preparation of preservice teachers through the use of rehearsals in a math methods class. As many experts in the field of teacher education call for curricula in which preservice teachers learn from and in practice, I investigated a type of pedagogy called rehearsals within a practice-based teacher education setting that may afford preservice teachers with the initial preparation needed to become effective teachers.

In this qualitative study, I examined how three preservice teachers and math methods instructors rehearse the high leverage practice of leading a whole-class discussion. …

Encouraging Literacy And Mathematics Achievement Through Study Of Real Estate, Ryan Andrew Nivens, Lori T. Meier, Karin J. Keith, Erin E. Doran, Edward J. Dwyer

ETSU Faculty Works

The era of high stakes testing often puts pressure on teachers and administrators to deemphasize creative activities not perceived as directly related to improving test scores. Alternatively, the authors propose that using environmental text is essential for encouraging overall learning competencies in general and reading/writing/ and mathematical achievement in particular. The authors propose that using real estate booklets can be helpful in generating learning activities in literacy, social studies, and mathematics. In addition, integrating music and art comfortably accompanies strategies presented. Real estate booklets are colorful, rich in content, and readily available at no expense.