Metacognition And Student Achievement In Mathematics, 2016 The College at Brockport

#### Metacognition And Student Achievement In Mathematics, Nancy Laistner

*Education and Human Development Master's Theses*

Today’s students often struggle when solving with mathematical problems on tests. While students may have the content knowledge to solve these problems, often they do not have the ability to identify what content knowledge should be applied and when it should be applied. At times, students make simple computational mistakes or simply give up on problems part way through because they do not feel that they are on the right path. Students need to be equipped with metacognitive strategies which will help them to overcome these issues. This paper discusses metacognition and its’ impact on student achievement in mathematics ...

Supplemental Action Learning Workshops: Understanding The Effects Of Independent And Cooperative Workshops On Students’ Knowledge, 2016 University of Southern Mississippi

#### Supplemental Action Learning Workshops: Understanding The Effects Of Independent And Cooperative Workshops On Students’ Knowledge, Kathryn M. Morris

*Dissertations*

Community colleges enroll more than half of the undergraduate population in the United States, thereby retaining students of varying demographics with extracurricular demands differing from traditional four-year university students. Often in a collegiate lecture course, students are limited in their abilities to absorb and process information presented by their instructors due to content-specific cognitive gaps between the instructor and the student (Preszler, 2009). Research has shown implementation of instructor-facilitated action learning workshops as supplemental instruction may help bridge these cognitive gaps allowing better student conceptualization and dissemination of knowledge (Drake, 2001; Fullilove & Treisman, 1990; Preszler, 2009; Udovick et al., 2002).

The purpose ...

Science Demonstrations, 2016 Purdue University

#### Science Demonstrations, Steven Smith

*Libraries Faculty and Staff Presentations*

Use demonstrations to engage students and get them thinking about concepts through multiple science areas. Demos and brief discussions until we run out of time.

Using The 2011-12 Schools And Staffing Survey, Restricted File Version, To Identify Factors Associated With The Intent For African American Math Teachers To Turnover, 2016 Graduate Center, City University of New York

#### Using The 2011-12 Schools And Staffing Survey, Restricted File Version, To Identify Factors Associated With The Intent For African American Math Teachers To Turnover, Bisola Neil

*All Dissertations, Theses, and Capstone Projects (2014-Present)*

Using data from the 2011-12 Schools and Staffing Survey, Restricted File Version, this study examines the factors that place African American teachers of mathematics at risk for turnover using Lynham’s General Model of Applied Theory Building methodology. Univariate statistical analysis found that of the three million plus public school teachers in the United States during the 2011-12 school year, 161,360 were certified math teachers were teaching mathematics full time and 11,070 of these teachers were African American. By centering this empirical study of turnover on the African American math teacher, this dissertation highlights turnover factors that uniquely ...

Expecting Success: Factors Influencing Ninth Graders' Science Self-Efficacy, 2016 Graduate Center, City University of New York

#### Expecting Success: Factors Influencing Ninth Graders' Science Self-Efficacy, Elizabeth Donahue

*All Dissertations, Theses, and Capstone Projects (2014-Present)*

What factors influence ninth grade students’ expectations for success in science? Using social cognitive theory and bioecological systems theory as theoretical frameworks, this dissertation employs data from the High School Longitudinal Study of 2009 (HSLS:09) to examine the relative impact of teacher practices and their perceived attitudes on students’ science self-efficacy. Further, as they relate to this broader issue, the relative impact of student subjective task value and teacher characteristics is also investigated.

It has been well documented that U.S. students are not achieving at satisfactory levels in science. Education policy has focused on improving science teacher quality ...

Coalescence Of Research: Urban Advantage As A Learning Organization Structured To Support A Culture Of Inquiry, 2016 Graduate Center, City University of New York

#### Coalescence Of Research: Urban Advantage As A Learning Organization Structured To Support A Culture Of Inquiry, Marianne Williams

*All Dissertations, Theses, and Capstone Projects (2014-Present)*

This dissertation is a mixed methods study of the Urban Advantage Program- a Middle School Science Initiative formed by the New York City Department of Education and the American Museum of Natural History (AMNH) in collaboration with New York City’s science culturally rich institutions – the Bronx Zoo, the Staten Island Zoo, the Hall of Science, the Brooklyn Botanic Garden, the Queens Botanical Garden, the New York Botanical Garden, and the New York Aquarium. Unprecedented in size and scope, UA brings together the largest school system in the largest city in the United States in a partnership with eight large ...

Jay Leno And Abstract Algebra, 2016 California State University, Fullerton

#### Jay Leno And Abstract Algebra, Adam Glesser, Martin Bonsangue

*Journal of Humanistic Mathematics*

The Jay Leno skit *Jaywalking*, showing ordinary people struggling to answer basic questions, is both entertaining and applicable to teaching. This article describes how an instructor can strengthen students' conceptual understanding by creating an element of confusion, or "cognitive dissonance," in the students' minds using *Jaywalking*-style interactions in the classroom.

Dramathizing Functions: Building Connections Between Mathematics And Arts, 2016 Florida International University

#### Dramathizing Functions: Building Connections Between Mathematics And Arts, Gunhan Caglayan

*Journal of Humanistic Mathematics*

This article focuses on connections between mathematics and performance arts (drama). More specifically we offer an exposition of a segment of college algebra mathematics (an introduction to functions), with an approach primarily emphasizing the aesthetic aspects of mathematical learning, teaching, and performing.

What If?: Mathematics, Creative Writing, And Play, 2016 ETH Zurich, Institute for Theoretical Studies

#### What If?: Mathematics, Creative Writing, And Play, Emily Clader

*Journal of Humanistic Mathematics*

Mathematics can inform creative writing by suggesting structures for it to follow, as well as by providing the imaginative impetus for common rules to be broken. In a workshop co-taught by the author, a class of sixth-grade students explored this interplay as they produced fractal-inspired poetry and geometry-inspired fiction. This article describes the form and results of the workshop in the context of a broader discussion of the influence of mathematics upon literature.

The Importance Of Surprise In Mathematical Beauty, 2016 Michigan State University

#### The Importance Of Surprise In Mathematical Beauty, V. Rani Satyam

*Journal of Humanistic Mathematics*

Mathematicians, mathematics education researchers, and philosophers have written about mathematical beauty and many of the qualities commonly associated with it, such as simplicity, brevity, enlightenment, etc. One key theme that underlies many of these qualities is surprise or the unexpected. In this article, I discuss the integral role surprise plays in mathematical beauty. Through examples, I argue that simplicity alone is oftentimes not enough for a piece of mathematics to be considered beautiful, but rather it is *unexpected* simplicity that we seek. I propose, moreover, that surprise is necessary for enlightenment. The paper also reports results from an activity designed ...

The Role Of Sequence In The Experience Of Mathematical Beauty, 2016 Boston University

#### The Role Of Sequence In The Experience Of Mathematical Beauty, Leslie Dietiker

*Journal of Humanistic Mathematics*

In this article, I analyze the aesthetic dimensions of a *sequence* of mathematical events found in an unusual first grade lesson in order to demonstrate how sequencing may affect an individual’s experience of mathematical beauty. By approaching aesthetic as a sense or felt quality of an experience in context (Sinclair, 2001, 2011), this analysis explains how sequence can affect the way mathematical objects or actions are experienced by an individual. Thus, rather than questioning *whether *or *in what ways *a set of mathematical objects are beautiful or not, this paper addresses *under what conditions* is the mathematics in play ...

Surprise And The Aesthetic Experience Of University Students: A Design Experiment, 2016 Technion-Israel Institute of Technology

#### Surprise And The Aesthetic Experience Of University Students: A Design Experiment, Ofer Marmur, Boris Koichu

*Journal of Humanistic Mathematics*

Little is known about instructional means by which the aesthetic experience of mathematics can be enhanced for undergraduate learners. This paper presents and discusses an iterative lesson design process towards creating an opportunity for students to appreciate the beauty of an unexpected solution to a challenging calculus problem. The lesson design draws on insights from both mathematics education research on aesthetics and research on aesthetic appreciation in music. The data were collected over the course of five lessons with different groups of calculus students in which the intended problem was presented in two different ways. In addition, stimulated-recall interviews were ...

The Stem Pipeline: Recruiting And Retaining African American Female Engineers, 2016 Texas A & M University - Commerce

#### The Stem Pipeline: Recruiting And Retaining African American Female Engineers, Delores Rice

*Journal of Research Initiatives*

The purpose of the study was to examine the career experiences of African American female engineers and explore their challenges and support systems during their career development. This qualitative study utilized a life history approach and was designed using basic interpretive inquiry. There were nine African American female participants in the study who currently worked in an engineering field within an engineering industry. Using an ecological model to ground the study, the findings were categorized as macrosystem (environment) or microsystem (individual) factors. The highlight of this manuscript includes a focus on implications, which offer insight into recruiting and retaining African ...

Reversing The Tide In Science, Engineering, Technology And Mathematics (Stem): Academically Gifted African American Students In Historically Black Colleges & Universities, 2016 Texas A & M University - Commerce

#### Reversing The Tide In Science, Engineering, Technology And Mathematics (Stem): Academically Gifted African American Students In Historically Black Colleges & Universities, Delores Rice, Fred Bonner, Chance Lewis, Mary Alfred, Felecia M. Nave, Sherri Frizell

*Journal of Research Initiatives*

What started off as a national concern has escalated to the point of crisis (Bonner, Alfred, Lewis, Nave & Frizell, 2009; Chubin & Malcolm, 2008; Hrabowski, Summers & Hrabowski, 2006). The current state of affairs regarding African American participation in STEM disciplines has become one of the thorniest issues of contemporary focus. This article highlights data collected for a NSF Education Research grant. The focus of this HBCU-UP project was to uncover factors contributing to the success of academically gifted (high-achieving) African American students enrolled in engineering programs at the 12 ABET accredited four-year institutions in the U.S. Specifically, this research highlights qualitative case study data ...

Keeley Probes As A Tool For Uncovering Student Ideas: How Do Teachers Use Formative Assessment Probes To Plan And Adapt Instruction?, 2016 Portland State University

#### Keeley Probes As A Tool For Uncovering Student Ideas: How Do Teachers Use Formative Assessment Probes To Plan And Adapt Instruction?, Kalin Sue Tobler

*Dissertations and Theses*

Formative assessment probes, known as Keeley probes, are one tool teachers use to reveal students' scientific misconceptions, so that they can move them closer to conceptual understanding. The purpose of this research was to document how four elementary school teachers used formative assessment probes to plan and adapt instruction to improve student learning. Specifically:

- How did teachers choose appropriate probes? What learning goals did teachers hope to address by using the probe??
- What instructional sequences did teachers envision when planning to use a probe?
- What did teachers notice when analyzing student data from a probe?
- How did teachers use the ...

Parts Of The Whole: Teaching Quantitative Reasoning In The Predator-Prey Model, 2016 Dartmouth College

#### Parts Of The Whole: Teaching Quantitative Reasoning In The Predator-Prey Model, Dorothy Wallace

*Numeracy*

The classical predator-prey equations are in nearly every differential equations text and mathematical biology text. Usually they are presented *fait accompli*, leaving the student to analyze them or play with a computer program. Here we show that the process of fully understanding where these equations come from and how they are derived provides numerous opportunities to teach or reinforce quantitative reasoning skills necessary to future scientists. This example is used to invoke logic, systems thinking, causal reasoning, understanding functions of one or more variables, quantities versus rates of change, proportional reasoning, unit analysis, and comparison to data.

Open Access!: Review Of Online Statistics: An Interactive Multimedia Course Of Study By David Lane, 2016 Michigan State University

#### Open Access!: Review Of Online Statistics: An Interactive Multimedia Course Of Study By David Lane, Samuel L. Tunstall

*Numeracy*

David M. Lane (project leader). *Online Statistics Education: An Interactive Multimedia Course of Study* (http://onlinestatbook.com/)

Also: David M. Lane (primary author and editor), with David Scott, Mikki Hebl, Rudy Guerra, Dan Osherson, and Heidi Zimmer. *Introduction to Statistics*. Online edition (http://onlinestatbook.com/Online_Statistics_Education.pdf), 694 pp.

It is rare that students receive high-quality textbooks for free, but David Lane's *Online Statistics: An Interactive Multimedia Course of Study *permits precisely that. This review gives an overview of the many features in Lane's online textbook, including the Java Applets, the textbook itself, and the resources available for ...

Random Number Simulations Reveal How Random Noise Affects The Measurements And Graphical Portrayals Of Self-Assessed Competency, 2016 California State University (retired)

#### Random Number Simulations Reveal How Random Noise Affects The Measurements And Graphical Portrayals Of Self-Assessed Competency, Edward Nuhfer, Christopher Cogan, Steven Fleisher, Eric Gaze, Karl Wirth

*Numeracy*

Self-assessment measures of competency are blends of an authentic self-assessment signal that researchers seek to measure and random disorder or "noise" that accompanies that signal. In this study, we use random number simulations to explore how random noise affects critical aspects of self-assessment investigations: reliability, correlation, critical sample size, and the graphical representations of self-assessment data. We show that graphical conventions common in the self-assessment literature introduce artifacts that invite misinterpretation. Troublesome conventions include: (*y* minus *x*) *v*s. (*x*) scatterplots; (*y* minus *x*) *vs. *(*x*) column graphs aggregated as quantiles; line charts that display data aggregated as quantiles; and ...

The Exigency Of The Euclidean Parallel Postulate And The Pythagorean Theorem, 2016 New Mexico State University

#### The Exigency Of The Euclidean Parallel Postulate And The Pythagorean Theorem, Jerry Lodder

*Geometry*

No abstract provided.

Strengthening Elementary Students' Understanding Of Factors, 2016 University of Montana - Missoula

#### Strengthening Elementary Students' Understanding Of Factors, Jordan R. Frotz

*Undergraduate Theses and Professional Papers*

Research on pre-service elementary school teachers’ understanding of the multiplicative structure of the natural numbers demonstrates an under-utilization of unique prime factorization in the identification of a number’s factors. For example, Zazkis and Campbell (1996b) found that a majority of teacher candidates employed trial division to analyze factor-candidates of a number, even when both were presented in prime-factored-form. Recent studies (i.e. Roscoe & Feldman, 2015) have shown that teachers’ understanding of factor can be strengthened by engaging in a sequence of instructional tasks that explore the relationship between a number’s prime factorization and its factors. This study seeks ...