Science and Mathematics Education Commons^™

Quantitative Reasoning For Teachers: Explorations In Foundational Ideas And Pedagogy, Sheryl Stump

Numeracy

This note describes a course designed to prepare community college instructors and K-12 teachers for teaching foundational aspects of quantitative reasoning. A body of literature on quantitative reasoning and quantitative literacy informed the course design. The note describes the course content, which includes engaging in case studies, reading and discussion, writing assignments, group problem solving, and news-of-the-day presentations. Details of these assignments are provided. The capstone assignment for the course is for participants to design a set of case studies for their own students. Details of this assignment are also provided as well as specific examples of participants’ learning.

Using Visual Analogies To Teach Introductory Statistical Concepts, Jessica S. Ancker, Melissa D. Begg

Numeracy

Introductory statistical concepts are some of the most challenging to convey in quantitative literacy courses. Analogies supplemented by visual illustrations can be highly effective teaching tools. This literature review shows that to exploit the power of analogies, teachers must select analogies familiar to the audience, explicitly link the analog with the target concept, and avert misconceptions by explaining where the analogy fails. We provide guidance for instructors and a series of visual analogies for use in teaching medical and health statistics.

A Quantitative Reasoning Approach To Algebra Using Inquiry-Based Learning, Victor I. Piercey

Numeracy

In this paper, I share a hybrid quantitative reasoning/algebra two-course sequence that challenges the common assumption that quantitative literacy and reasoning are less rigorous mathematics alternatives to algebra and illustrates that a quantitative reasoning framework can be used to teach traditional algebra. The presentation is made in two parts. In the first part, which is somewhat philosophical and theoretical, I explain my personal perspective of what I mean by “algebra” and “doing algebra.” I contend that algebra is a form of communication whose value is precision, which allows us to perform algebraic manipulations in the form of simplification and solving …

Numeracy Across The Curriculum In Australian Schools: Teacher Education Students’ And Practicing Teachers’ Views And Understandings Of Numeracy, Helen J. Forgasz, Gilah Leder, Jennifer Hall

Numeracy

In this article, we confront the challenges to teacher education students and practicing teachers raised by the concept of numeracy and its place in the curriculum. In the Australian Curriculum, there is an expectation that teachers at all grade levels and in all subject areas develop students' numeracy capabilities. At Monash University, a public, research-intensive university, the largest university in Australia, graduate level teacher education students are now required to complete a course entitled Numeracy for Learners and Teachers. We describe the content of this course and, from an online survey, report findings of the impact on students' understandings …

Analysis Of A Stem Education Professional Development Conference For Pre-Service Educators, Keeta Holmes, Pamela Atkinson-Hamilton, Tiffanni Durham, Gloria Hardrict-Ewing, Deborah Heisler, Christina Hughes, Rosalinda Williams, Lane Walker, Christopher Young-El, Amy Dooley

Dissertations

Science, technology, engineering, and mathematics (STEM) disciplines are attracting increased attention in education. The iSTEM 2017 conference was a professional development program designed to acquaint pre-service teachers with interdisciplinary, research-based STEM instructional strategies that can transform traditional classroom instruction into dynamic learning environments.

The STEM Education Scholars (STEMES) is a Learning Community of Practice, housed in the College of Education, at a midsized mid-western public research university. The program of study focused on designing a professional development program for future Pre-K12 teachers. The iSTEM 2017 conference presented by the STEMES Community of Practice sought to inform pre-service teachers of STEM …

The Influence Of The Csu Robert Noyce Teacher Scholarship Program On Undergraduates' Teaching Plans, Cindy S. Ticknor, Deborah Gober, Tim Howard, Kimberly Shaw, Leigh A. Mathis

Georgia Educational Researcher

The Robert Noyce Teacher Scholarship Program offers academic and financial support for students pursuing secondary teaching certificates in STEM fields. In return, students commit to teaching in high-need K-12 school districts. The Noyce Program has had uneven results in increasing the number of teachers in high needs schools. Large scale studies of its impact indicate the program is not likely to influence decisions to teach but may persuade participants to initially teach in high needs schools. To better understand the influence of the Noyce Program, we offer case studies of two Noyce scholarship recipients at different stages: (1) a former …

How Teachers’ Beliefs About Climate Change Influence Their Instruction, Student Understanding, And Willingness To Take Action., Molly Trendell Nation

USF Tampa Graduate Theses and Dissertations

Climate change science is complex and controversial in nature, yet seen by educators and policy makers as an important topic to be taught within secondary science education. This is becoming increasingly evident with the inclusion of climate change into the Next Generation Science Standards (NGSS) for Earth and Space Sciences as well as Life Science courses (NGSS, 2013). An overwhelming amount of information is available to students; however, it is often misrepresented, politically inflated and falsified, and littered with misconceptions (Dawson & Carson, 2014; Gayford, 2002). It is critical to engage students in discourse that challenges them ethically in order …

Rigorous Debates Over Debatable Rigor: Monster Functions In Introductory Analysis, Janet Heine Barnett

Analysis

No abstract provided.

The Derivatives Of The Sine And Cosine Functions, Dominic Klyve

Calculus

No abstract provided.

Solving A System Of Linear Equations Using Ancient Chinese Methods, Mary Flagg

Linear Algebra

No abstract provided.

The Definite Integrals Of Cauchy And Riemann, Dave Ruch

Analysis

Rigorous attempts to define the definite integral began in earnest in the early 1800's. One of the pioneers in this development was A. L. Cauchy (1789-1857). In this project, students will read from his 1823 study of the definite integral for continuous functions . Then students will read from Bernard Riemann's 1854 paper, in which he developed a more general concept of the definite integral that could be applied to functions with infinite discontinuities.

Soc 898 Syllabus (Special Topics). Social Psychological Processes In The Stem Classroom: Activating Stem Identities Summer 2017, Patricia Wonch Hill, Julia Mcquillan

Worlds of Connections Resources

This class covers a broad range of social psychological topics and processes to help teachers better understand how social context impacts STEM learning. Students will learn about social inequality in STEM fields, and the individual, interactional, and institutional barriers to developing a science identity for youth from a variety of social locations (rural/urban, gender, race/ethnicity, Socioeconomic Status, ELL). The class will learn about implicit bias, stereotype threat, and identity theory, and how they impact formal and informal social interactions and learning in the STEM classroom. They will learn and help formulate practical strategies to reduce their negative impact in order …

The Closure Operation As The Foundation Of Topology, Nicholas A. Scoville

Topology

No abstract provided.

A Compact Introduction To A Generalized Extreme Value Theorem, Nicholas A. Scoville

Topology

In a short paper published just one year prior to his thesis, Maurice Frechet gives a simple generalization one what we might today call the Extreme value theorem. This generalization is a simple matter of coming up with ``the right" definitions in order to make this work. In this mini PSP, we work through Frechet's entire 1.5 page paper to give an extreme value theorem in more general topological spaces, ones which, to use Frechet's newly coined term, are compact.

Ua64/2 The Challenge: Magazine For The Center For Gifted Studies (No. 42, Summer 2017), Center For Gifted Studies, Tracy Inman Editor

Gifted Studies Publications

No abstract provided.

Primes, Divisibility, And Factoring, Dominic Klyve

Number Theory

No abstract provided.

Babylonian Numeration, Dominic Klyve

Number Theory

No abstract provided.

Gaussian Integers And Dedekind's Creation Of An Ideal: A Number Theory Project, Janet Heine Barnett

Number Theory

No abstract provided.

Construction Of The Figurate Numbers, Jerry Lodder

Number Theory

No abstract provided.

Pascal's Triangle And Mathematical Induction, Jerry Lodder

Number Theory

No abstract provided.

Generating Pythagorean Triples: The Methods Of Pythagoras And Of Plato Via Gnomons, Janet Heine Barnett

Number Theory

No abstract provided.

Is It Engineering Or Not?, Brooke A. Whitworth, Lindsay B. Wheeler

Publications

With the widespread adoption of the Next Generation Science Standards (NGSS Lead States 2013), science teachers now aspire to integrate engineering into science instruction, as the standards suggest, yet many don’t know how. The first steps are to define engineering and identify tasks that incorporate engineering, which can be difficult and confusing. This article presents a simple explanation of engineering and offers a framework to help teachers determine whether a task is based on engineering. We also offer examples of how to integrate engineering in Earth science, chemistry, biology, and physics.

Beyond Problem-Solving: Elementary Students’ Mathematical Dispositions When Faced With The Challenge Of Unsolved Problems, Jenna R. O'Dell

Theses and Dissertations

The goal of this study was to document the characteristics of students’ dispositions towards mathematics when they engaged in the exploration of parts of unsolved problems: Graceful Tree Conjecture and Collatz Conjecture. Ten students, Grades 4 and 5, from an after-school program in the Midwest participated in the study. I focused on the cognitive, affective, and conative aspects of their mathematical dispositions as they participated in 7 problem-solving sessions and two interviews.

With regard to cognitive aspects of the students’ dispositions, I focused on the students attempts to identify and justify patterns for labeling graphs. Overall, the unsolved problems were …

News - Fayette County Public Library, Gina L. Martin

Georgia Library Quarterly

No abstract provided.

A Study Of The Effects Of Thinking Maps On The Achievement Of Students In Middle Grades Science, Lynn B. Hughes Akin

Theses and Dissertations

The purpose of this study was to determine if the usage of Thinking Maps® influenced the achievement scores of middle grades students in science on the Georgia Criterion-Referenced Competency Tests (CRCT) over a period of two years. Science test scores for the 2012-2013 and 2013-2014 school years were analyzed by grade level and usage in SPSS and SAS, and after transformations were completed, non-parametric ANOVAs were conducted based on non-normal distributions. Science teachers were surveyed regarding their perceptions and usage of Thinking Maps®. The scores and surveys were then analyzed for simultaneous effects.

The results of the study for the …

How Question Types Reveal Student Thinking: An Experimental Comparison Of Multiple-True-False And Free-Response Formats, Joanna K. Hubbard, Macy A. Potts, Brian A. Couch

School of Biological Sciences: Faculty Publications

Assessments represent an important component of undergraduate courses because they affect how students interact with course content and gauge student achievement of course objectives. To make decisions on assessment design, instructors must understand the affordances and limitations of available question formats. Here, we use a crossover experimental design to identify differences in how multiple-true-false (MTF) and free-response (FR) exam questions reveal student thinking regarding specific conceptions. We report that correct response rates correlate across the two formats but that a higher percentage of students provide correct responses for MTF questions. We find that MTF questions reveal a high prevalence of …

Equity Of Success In Clasp Courses At Uc Davis, Cassandra Paul, David Webb, Mary Chessey, Wendell Potter

Faculty Publications

We have recently described the reformed introductory physics course, Collaborative Learning through Active Sense-Making in Physics (CLASP), for bioscience students at UC Davis and argued that the course was more successful than its predecessor (Physics 5) by several measures. Now we examine the effects of these courses for different student ethnic groups. We find that, compared to Physics 5, students of most ethnic backgrounds were more successful in CLASP. We also find that students from ethnic groups underrepresented in STEM who took the CLASP course were more likely to graduate as STEM majors. We discuss possible features of CLASP that …

Contextualizing Developmental Math Content Into Introduction To Sociology In Community Colleges, Stuart Parker, Amy E. Traver, Jonathan Cornick

Publications and Research

Across community colleges in the United States, most students place into a developmental math course that they never pass. This can leave them without the math skills necessary to make informed decisions in major areas of social life and the college credential required for participation in growing sectors of our economy. One strategy for improving community college students’ pass rate in developmental math courses is the contextualization of developmental math content into the fabric of other courses. This article reviews an effort to contextualize developmental math content (i.e., elementary algebra) into Introduction to Sociology at Kingsborough Community College and Queensborough …

Finland: An Exemplary Stem Educational System, Hui Fang Huang "Angie" Su, Nancy Ledbetter, Jocelyn Ferguson, La'trina Timmons

Transformations

There is a need for an increase in the number of students entering fields of science, technology, engineering, and mathematics (STEM) and the only way for that to happen is for educational reforms to be put into place (PCAST, 2012). Improvement and focus on STEM education are a concern of all nations whether they have an emerging economy or one that is long established. The world of the 21st century is such that in order to compete globally countries must invest in STEM education (Kennedy & Odell, 2014). The United States scores on the Program for International Student Assessment (PISA) …

Relative Rates Of Success Of Students In Calculus I, Joshua Ayerdi

Honors Theses

Students that enroll in Math 1220, Calculus 1, can be categorized into two groups after completion of the course; those that are successful and able to proceed to the next course by earning a grade of “C” or better (pass) and those that are not successful and unable to proceed to the next course by earning below a “C” (fail). The Mathematics Association of America (MAA) has reported the national average of unsuccessful Calculus 1 students to be 25%. At the conclusion of the spring 2015 semester at Western Michigan University (WMU), the rate was approximately 40%. Institutional data was …