Teacher Education and Professional Development 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.

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 …

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.

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) …

Undergraduate Engineers And Teachers: Can Students Be Both?, Malinda S. Zarske, Maia L. Vadeen, Janet Y. Tsai, Jacquelyn F. Sullivan, Denise W. Carlson

Journal of Pre-College Engineering Education Research (J-PEER)

Today’s college-aged students are graduating into a world that relies on multidisciplinary talents to succeed. Engineering college majors are more likely to find jobs after college that are outside of STEM (science, technology, engineering, and mathematics) fields, including jobs in healthcare, management, and social services. A survey of engineering undergraduate students at the University of Colorado Boulder in November 2012 indicated a desire by students to simultaneously pursue secondary teacher licensure alongside their engineering degrees: 25 percent ‘‘agreed’’ or ‘‘strongly agreed’’ that they ‘‘would be interested in earning grades 7–12 science or math teaching licenses while [they] earn [their] engineering …

Theoretical Stem Program Proposal, Nancy L. Ledbetter

Transformations

Many schools are turning towards STEM to help students prepare for the future and to mend deficits in science and mathematics programs that are proving less than successful. This article provides background, theoretical support, and a plan for how to transform a school from a traditional model to a model STEM school.

Proof, Proving And Mathematics Curriculum, Thomas Varghese

Transformations

The National Council of Teachers of Mathematics, a US based teachers association, strongly encourages teachers to make proof and reasoning an integral part of student mathematics. However, the literature shows that, far from being integral, proving remains compartmentalized within the North American school curriculum and is restricted to a specific mathematical domain. Consequently, students suffer in their understandings and are ill prepared for the rigorous mathematical proving that many of them will encounter later at the postsecondary level. The literature suggests that compartmentalization is mainly due to teacher’s lack of experience in proof and proving and their subsequent inability to …

The Importance Of Using Manipulatives In Teaching Math Today, Joseph M. Furner, Nancy L. Worrell

Transformations

This paper explores the research and use of mathematics manipulatives in the teaching of mathematics today during an age of technology and standardized testing. It looks at the drawbacks and cautions educators as they use math manipulatives in their instruction. It also explores some cognitive concerns as a teacher goes about teaching with math manipulatives. The paper shares many commonly used math manipulatives used in today’s classrooms and matches them up to some of the Common Core Math Standards that are taught today in classrooms in the USA and around the world.

The Plight Of The Gifted Student: A Call To Action, Krista M. Shilvock

Empowering Research for Educators

With so many needs in today’s public education classroom, we cannot forget the needs of those who excel in the classroom, too. Gifted students face severe neglect in class due to the appearance of their competence and maturity. However, we quickly face losing the contributions of a major group of students as this neglect causes them to lose interest in their own education. As teachers, we must challenge ourselves to help gifted students reach their potential just as we attempt to do for all subgroups of students. A poll of 22 gifted students confirms these frustrations and needs of students. …

Immigrant Parental Involvement In Student Academics, Charles Tebben

Empowering Research for Educators

Abstract

This study is meant to focus discussions about the importance of the involvement of immigrant parents in respect to student academics. In this study I intend to make evident a relationship between parental involvement and student academics, after which I will draw in a conclusion of the resources utilized by my community at the elementary and middle schools. I’m conducting my research study starting at elementary school and running through middle school. I’m eliminating the high school period because of their unique parental involvement complexities which share little constraints and outcomes with the lower levels. To build my study, …

Growth Mindset In The Classroom, Luther L. Kiger

Empowering Research for Educators

This article discusses how Mindset can effect a students educational and social life.

The Language Of Learning In Family And Consumer Sciences: English Language Learners In Career Technical Education, Kali S. Lenhoff

Empowering Research for Educators

Family and Consumer Sciences (FCS) content and English as a Second Language (ESL) strategies can be organically incorporated to create a successful education for an English Language Learner (ELL). The first objective of this research project is to discover how prepared Family and Consumer Sciences teachers feel to work with English Language Learners in the classroom. The second objective is to identify practical and effective methods and strategies that are useful for Family and Consumer Sciences teachers instructing English Language Learners. The rationale for this project is that by identifying the challenges faced by English Language Learners in education, teachers …

Emphasis On Test Scores In Education, Lindsay Olson

Empowering Research for Educators

This article discusses how too much emphasis on standardized testing can affect student learning as well as teaching in the classroom. It includes a personal interview with a high school teacher as well as an article from the Washington Post regarding a study that was completed involving testing students.

An Examination Of The Relationship Between Professional Development Providers' Epistemological And Nature Of Science Beliefs And Their Professional Development Programs, Alfonso Garcia Arriola

Dissertations and Theses

In the last twenty years in US science education, professional development has emphasized the need to change science instruction from a direct instruction model to a more participatory and constructivist learning model. The result of these reform efforts has seen an increase in science education professional development that is focused on providing teaching strategies that promote inquiry learning to learn science content. Given these reform efforts and teacher responses to professional development, research seems to indicate that whether teachers actually change their practice may depend on the teachers' basic epistemological beliefs about the nature of science. The person who builds …

Developing Teacher Competencies For Problem-Based Learning Pedagogy And For Supporting Learning In Language-Minority Students, Peter Rillero, Mari Koerner, Margarita Jimenez-Silva, Joi Merritt, Wendy J. Farr

Interdisciplinary Journal of Problem-Based Learning

Teachers need to be able to design and implement problem-based learning (PBL) experiences to help students master the content and the processes in new mathematics and science education standards. Due to the changed population of learners within schools, it is also critically important that teachers in the elementary grades have the abilities to work effectively with English language learners (ELL). This article discusses the implementation of a major initiative by our teachers college to achieve both of these goals through Problem-Based Enhanced Language Learning (PBELL), which combines PBL, enhanced opportunities for language, and ELL methods. The implementation began with a …

Finding Meaning In Calculus (And Life), Doug Phillippy

ACMS Conference Proceedings 2017

A 2015 publication of the Mathematical Association of America (Insights and Recommendations from the MAA National Study of College Calculus) noted that "students taking college calculus exhibited a reduction in positive attitude toward mathematics, which can affect their career aspira

Cultivating Mathematical Affections Through Engagement In Service-Learning, Josh Wilkerson

ACMS Conference Proceedings 2017

Why should students value mathematics? While extensive research exists on developing the cognitive ability of students, very little research has examined how to cultivate the affections of students for mathematics. The phrase "mathematical affections" is a play on the affective domain of learning as well as on the general notion of care towards something. Mathematical affections are more than a respect for the utility of the subject; the term is much broader and includes aesthetic features as well as habits of mind and attitude. This paper will analyze the findings from a research project exploring the impact of service

Reading Journals: Preview Assignments That Promote Student Engagement, Productive Struggle, And Ultimate Success In Undergraduate Mathematics Courses, Sarah Nelson

ACMS Conference Proceedings 2017

We spend lots of time searching for the best textbook for students. We want our students to have a reliable and useful resource to reference, as needed. We even ask them to read over certain material before classes. Often, however, we fail to guide our students in how to read the text productively. Incorporating reading journals into your classes is an excellent way to simultaneously develop your students' ability to read mathematical text and capitalize on what the students already have to offer. In this presentation, we will look at how reading journals motivate students in a variety of mathematics …

Blended Courses Across The Curriculum: What Works And What Does Not, Ryan Botts, Lori Carter, Catherine Crockett

ACMS Conference Proceedings 2017

Recent hype around online and blended courses touts the benefits of immediate student feedback, flexible pace, adaptive learning, and better utility of classroom space. Here we aim to summarize the results of a 3-year pilot study using blended courses across the quantitative science curriculum (Mathematics, Statistics and Computer Science), in both upper and lower division, major and GE courses. We present findings on student attitudes towards this format, most helpful course components, time on task, progress on learning outcomes and faculty perspectives. This summary can be used to inform best practices in hybrid design, implementation and faculty expectations in the …

Variations On The Calculus Sequence, Christopher Micklewright

ACMS Conference Proceedings 2017

Many institutions have embraced a standard format for the Calculus sequence, comprising three four-credit courses covering a fairly consistent set of topics. While there is much to recommend this approach, it still leaves some fantastic concepts rushed or untouched, and it can be argued that it demands too much of students with weaker backgrounds. As such, some schools have experimented with variations on the standard format. In this talk, I will present the model that my institution currently uses, exploring the strengths and weaknesses of our particular approach. I will also suggest ideas, developed in conversation with other ACMS members …

Using Real-World Team Projects: A Pedagogical Framework, Mike Leih

ACMS Conference Proceedings 2017

The use of team projects in a program capstone course for computer science or information systems majors has been a popular method for reinforcing and assessing program learning objectives for students in their final semester. Using real-world group projects as a learning activity is an excellent pedagogical approach in helping students develop critical thinking, team work, real-world problem solving, and communication skills. However, real-world group projects also provide many challenges to both the instructor and students alike. Instructors or students must find real-world projects appropriate for the learning objectives in the course. Instructors must determine how to provide teams with …

The Set Of Zero Divisors Of A Factor Ring, Jesús Jiménez

ACMS Conference Proceedings 2017

Let A be a ring and a an ideal of A. In this paper we show how to construct factor rings A/ a and a finite set of ideals a1, a2, ... , ak, of A/a, such that: each ideal aj is contained in the set of zero divisors of A/a, the factor ring A/a is a direct sum of these ideals, and each ideal aj is a ring with unity when endowed with addition and multiplication modulo a. Explicit examples are given when A is the ring of integers, Gaussian integers or the ring of polynomials over a field.

Developing The Underutilized Mathematical Strengths Of Students, Patrick Eggleton

ACMS Conference Proceedings 2017

This session is intended for presenting the findings from a Spring 2017 research study conducted at Taylor University regarding influences that contribute to a student's disposition toward mathematics. In the foundation level mathematics course taught for non-majors at Taylor, students are asked to share a reflection on their past mathematical experiences. Analysis of these reflections shows general themes regarding the influences, both good and bad, that have contributed to how these students approach mathematics. We would like to use this information as well as related studies to help instructors of mathematics develop positive dispositions toward mathematics in their students.

Axioms: Mathematical And Spiritual: What Says The Parable?, Melvin Royer

ACMS Conference Proceedings 2017

Relational structure A is compact provided for any structure Jffi of the same signature, if every finite substructure of Jffi has a homomorphism to A then so does Jffi. The Constraint Satisfaction Problem (CSP) for A is the computational problem of determining whether finite structures have homomorphisms into A. We explore a connection between the hierarchy of logical axioms and the complexity hierarchy of CSPs: It appears that the complexity of CSP for A corresponds to the strength of the axiom "A is compact". At the top, the statement "K3 is compacts" is logically equivalent to the compactness theorem. Thus …

A Pre-Calculus Controversy: Infinitesimals And Why They Matter, Karl-Dieter Crisman

ACMS Conference Proceedings 2017

In teaching calculus, it is not uncommon to mention the controversy over the role of infinitesimals with Newton's and Leibniz' calculus, including Berkeley's objections. In a history of mathematics course, it is a required topic! But rancor over infinitesimals and their role in mathematics predates calculus- so much so that a popular new book is dedicated to this topic. In this talk, I will discuss not just the relevant controversies between Cavalieri and the Je

The Resolved And Unresolved Conjectures Of R.D. Carmichael, Brian D. Beasley

ACMS Conference Proceedings 2017

Even before heading to Princeton University to work on his doctoral degree, Robert Daniel Carmichael started influencing the path of number theory in the 20th century. From his study of Euler's totient function to his discovery of the first absolute pseudoprime, he set the stage for years of productive research. This talk will present a brief overview of Carmichael's life, including his breadth of mathematical interests and his service on behalf of the Mathematical Association of America. It will focus mainly on his two most famous conjectures- which one has been settled, and which one remains open to this day?

"Big Idea" Reflection Assignments For Learning And Valuing Mathematics, Jeremy Case, Mark Colgan

ACMS Conference Proceedings 2017

While participating in a Faculty Learning Community, we explored the "big questions" we wanted our students to take away from our mathematics courses. We called these questions the Big Ideas of the course and developed a Big Ideas Reflection Assignment, which we continue to assign at the end of each of our courses. Students are able to demonstrate understanding and application of their learning as well as their values and appreciation of mathematics. The assignment encourages students to move beyond a focus on technique and symbolic manipulations towards a broader and more holistic approach, including making connections between their learning …

Mentoring As A Statistical Educator In A Christian College, L. Marlin Eby

ACMS Conference Proceedings 2017

In this paper, I present principles based on more than thirty years of intentional mentoring as a statistical educator in a Christian college. I believe this mentoring has been enhanced due to the setting- a Christian college, and the discipline - statistics. I discuss distinctives of the Christian college setting that positively impact mentoring in any discipline with respect to the mentor, the mentee, and the pervading campus atmosphere. I focus on mentoring as a statistical educator by specifically considering the following: attracting students to the discipline of statistics, preparing students for careers using statistics, and preparing students for graduate …

The Daily Question: Building Student Trust And Interest In Undergraduate Introductory Probability And Statistics Courses, Matthew A. Hawks

ACMS Conference Proceedings 2017

Introducing probability or statistics to disinterested undergraduate students is challenging. Adding faith in such a classroom at a secular institution only increases the complexity. We share an unobtrusive way to build trust with students, creating a medium to both naturally share your faith and have your students look forward to attending each class. The context is the United States Naval Academy, a four-year undergraduate institution with an emphasis on leader development. In addition to a calculus sequence, Humanities majors enroll in Probability with Naval Applications or Introductory Statistics. These sophomores or juniors are split between those who have no intention …

The Topology Of Harry Potter: Exploring Higher Dimensions In Young Adult Fantasy Literature, Sarah Klanderman, Alexa Schut, Dave Klanderman, William Boerman-Cornell

ACMS Conference Proceedings 2017

As one of the most beloved series in children’s literature today, the Harry Potter books excite students of all ages with the adventures of living in a magical world. Magical objects (e.g., bottom-less handbags, the Knight Bus, time turners, and moving portraits) can inspire generalizations to mathematical concepts that would be relevant in an undergraduate geometry or topology course. Intuitive explanations for some of the magical objects connect to abstract mathematical ideas. We
offer a typology with a total of five categories, including Three Dimensions in Two Dimensions, Higher Dimensions in Three Dimensions, Two and Three Dimensional Movement, Higher Dimensional …