Science and Mathematics Education Commons^™

Class Notes For Math 871: General Topology, Instructor Jamie Radcliffe, Laura Lynch

Department of Mathematics: Class Notes and Learning Materials

Topics include: Topological space and continuous functions (bases, the product topology, the box topology, the subspace topology, the quotient topology, the metric topology), connectedness (path connected, locally connected), compactness, completeness, countability, filters, and the fundamental group.

How Our Health Depends On Biodiversity, Eric Chivian M.D., Aaron Bernstein M.D., M.P.H.

Ecosystem Disruption & Climate Change

The eminent Harvard biology Professor Edward O.Wilson once said about ants, “We need them to survive, but they don’t need us at all.” The same, in fact, could be said about countless other insects, bacteria, fungi, plankton, plants, and other organisms. This fundamental truth, however, is largely lost to many of us. Rather, we humans often act as if we are totally independent of Nature, as if our driving thousands of other species to extinction and disrupting the life-giving services they provide will have no effect on us whatsoever.

This summary, using concrete examples from our award-winning Oxford University Press …

Grade 7 Earth Day Statistics With Circle And Bar Graphs, Joanne Erenberg

Math

This lesson is designed for seventh grade math. The theme is "Earth Day" and the lesson focus is on circle graphs and bar graphs. Students will explore statistics on conservation and recycling while they learn how to interpret data and convert it into graphs. The differentiations method is cubing tiered on three levels of difficulty with each cube holding six levels of blooms taxonomy. The activities are also differentiated by learning style.

Introductory Texts, Georgia Association Of Mathematics Teacher Educators

Georgia Association of Mathematics Teacher Educators (GAMTE) Annual Conference (2007-2019)

Cover Page

GAMTE Information

Table of Contents

Paper 1: Investigating Mathematical Literacy Through Teacher Language, Alyson Lischka

Georgia Association of Mathematics Teacher Educators (GAMTE) Annual Conference (2007-2019)

Communication about mathematical concepts using appropriate terminology is a standard established by the National Council of Teachers of Mathematics. However, international test results show that United States’ students are lagging in mathematical literacy. This case study analyzes the ways in which instructors use language to help students move toward conceptual understanding of mathematical vocabulary. Three mathematics education professors at a mid-size four year institution were observed teaching math classes to students enrolled in elementary or secondary certification programs. Collected data included: audio-recorded observations and field notes, lesson artifacts such as quizzes and handouts, and audio-recorded interviews with each participant. Findings …

Paper 2: Collaborating To Meet The Standards: Implications For Professional Development, Erik D. Jacobson, Laura M. Singletary

Georgia Association of Mathematics Teacher Educators (GAMTE) Annual Conference (2007-2019)

Researchers from the University of Georgia interviewed 27 Mathematics 1 teachers about their experiences during the first year of the high school implementation of the Georgia Performance Standards (GPS). We report our findings about teachers’ experiences with Mathematics 1 professional development and describe features of professional development that teachers identified as most beneficial. Some teachers offered suggestions for professional development that differed from the professional development they had experienced. In addition, we found that many teachers used collaborative strategies to meet the demands of the new curriculum and the perceived inadequacies of resources and training. We discuss the various models …

Paper 3: Extending K-8 Mathematics Concepts In Alternate Bases, Dianna J. Spence

Georgia Association of Mathematics Teacher Educators (GAMTE) Annual Conference (2007-2019)

When learning to represent mathematics with manipulatives, many pre-service K-8 teachers rely on memorized rote procedures to perform the associated mathematical tasks; then they arrange the manipulatives to match their result, often with minimal understanding of underlying mathematical connections. In a Number and Operations course for K-8 pre-service teachers, a portion of the class was conducted in alternate bases: Base 6 and Base 8 Blocks were used to model operations with integers to facilitate deeper understanding of the number systems and arithmetic processes being represented. Fractions and decimals were later covered only in Base 10. On midterm and final exams, …

Paper 4: Basic Skills Testing In Math 2008, Susie M. Lanier, Sharon Taylor, Donna B. Saye

Georgia Association of Mathematics Teacher Educators (GAMTE) Annual Conference (2007-2019)

Math 2008 is an Area F course for early childhood majors in the University System of Georgia. The course covers basic skills that pre-service teachers will most likely be teaching in their career. At Georgia Southern University, many students in the course do not possess or have forgotten these basic skills. In Fall 2009, a basic skills test was implemented for Math 2008. Students must earn a score of 90 or higher on the test in order to pass the course. The test not only serves to let students know their areas of weakness, but also informs the instructor’s teaching. …

Paper 5: Embracing The Vision: Our Work With Teachers Implementing Gps, Sarah Ledford, Wendy B. Sanchez, Marian Fox

Georgia Association of Mathematics Teacher Educators (GAMTE) Annual Conference (2007-2019)

In 2005, three Kennesaw State University mathematics education faculty members began a series of workshops titled “Implementing the Georgia Performance Standards [GPS]: Embracing the Vision.” This workshop series has been underwritten by Georgia’s Teacher Quality Higher Education Program. The first series of workshops began with 6th grade teachers the first year the GPS was implemented and the project has been funded each subsequent year since its inception. Currently, we are working with Math III teachers as they implement the course for the first time. The initial focus for the project was on conceptual understanding versus procedural understanding, writing tasks that …

The Implementation Of Interactive Science Notebooks And The Effect It Has On Students Writing, Eva Braxton

Electronic Theses and Dissertations

The purpose of this study was to determine whether or not my practice of implementing Interactive Science Notebooks (ISN) impacts 4th grade students writing in science. Through this action research, students' writing was analyzed to determine whether the use of ISN affected students' use of details, support claims and justifications in their written responses. Also through the use of the Interactive Science Notebook, students' use of science vocabulary in their writing was also analyzed. Finally, students' reflective writing practices were examined in order to determine how students understood and explored physical science. A triangulation of data gathered consisted of the …

Investigating Further Preservice Teachers’ Conceptions Of Multidigit Whole Numbers: Refining A Framework, Eva Thanheiser

Mathematics and Statistics Faculty Publications and Presentations

This study was designed to investigate preservice elementary school teachers’ (PSTs’) responses to written standard place-value-operation tasks (addition and subtraction). Previous research established that PSTs can often perform but not explain algorithms and provided a four-category framework for PSTs’ conceptions, two correct and two incorrect. Previous findings are replicated for PSTs toward the end of their college careers, and two conceptions are further analyzed to yield three categories of incorrect views of regrouped digits: (a) consistently as 1 value (all as 1 or all as 10), (b) consistently within but not across contexts (i.e., all as 10 in addition but …

A Values Framework For Students To Develop Thoughtful Attitudes About Citizenship And Stewardship, Tim Lutz, Leeann Srogi

Earth & Space Sciences Faculty Publications

No abstract provided.

Developing Fourth Graders' Proficiency In Basic Multiplication Facts Through Strategy Instruction, Stacey Braddock

Electronic Theses and Dissertations

The purpose of this action research study was to evaluate my own practice of teaching basic multiplication facts to fourth graders. I wanted to see how focusing my instruction on strategies would help my students develop proficiency in basic multiplication facts. I chose this topic because Florida was in the process of shifting to new standards that encourage teaching for deeper meaning. I hoped this research would give my students the opportunity to make sense of multiplication on a deeper level, while giving me insight into how students learn multiplication. Through this study, I learned that students initially find multiplication …

Grades 6-8 Ecology, Jessica Williams

Science

This is a lesson for 6th-8th grade students on Ecology. This culminating activity has students creating a brochure or presentation on a National Park of their choice based on differentiated guidelines and rubrics. Through this lesson students will have an understanding of how their knowledge of ecology can be applied to the National Parks through collaborative group work.

Grades 9-10 Algebra: Graphic Quadratics On The Coordinate Plane, Michelle Darcy

Math

This lesson is part of a total unit of graphing quadratics. Each project is tiered and allows the students to see the many different places in which math is present in the world and outside the math classroom. This is part of the Algebra curriculum. Through this lessons students will be able to graph quadratics.

Grade 6-8 Living Things, Theresa Gomez

Science

Abstract: This unit explores the characteristics of living things. Students must evaluate and classify various specimens to determine if they meet agreed upon criteria for life. The unit emphasizes the ways in which different organisms perform the same life functions, and reveals that non-living things may appear to perform some functions but do not perform all functions. The unit culminates in the relation that all living things are made of cells.

Grades 9-12 Earth Science, Katie Whittaker

Science

New York state standards emphasizes the importance of connecting past and present events to possible future events. This lesson plan focuses on the geologic past as it is presented in the New York state referenced tables for Earth Science. The lesson plan features a clip from "you tube" as a hook, a RAFT assignment that embraces theories by Bloom and Gardner, a post card activity to test understanding, and a closure activity where students will predict future events based on patterns from the geological past.

The Effects Of Folding-In Of Basic Mathematics Facts For Students With Disabilities, Tamara D. Bertini, Dara Coffrey, Kristine D. Swain

Special Education and Communication Disorders Faculty Publications

Research in the area of elementary mathematics has been limited in recent years. Direct instruction methods, including drill tasks, have been recommended for elementary students who have mathematics difficulties. This project involves two studies that examined the effectiveness of a specific direct instruction intervention, Folding-In, on the math computation achievement of elementary students. Weekly Curriculum-based measurement (CBM) progress monitoring data, as well as achievement test data, were used to monitor the effectiveness of the intervention, with improvements noted in math fact fluency in both a university-based clinical tutoring and a classroom intervention setting.

If Mowat And Davis Are Correct, Then Teaching Is Hard: A Response To Elizabeth Mowat & Brent Davis, Kris H. Green, Bernard P. Ricca

Mathematical and Computing Sciences Faculty/Staff Publications

In lieu of an abstract, below is the article's first paragraph.

Mowat & Davis (this issue) present a model of learning mathematics that relies heavily on ideas from network (or graph) theory. The important questions (to us, at least) concern the dynamics of the nodes and links. Answers – even tentative ones such as we present here – to these questions lead to a second set of questions concerning the implications of these answers to teachers and researchers.

The Relationship Between Timed Drill Practice And The Increase Of Automaticity Of Basic Multiplication Facts For Regular Education Sixth Graders, Nelly P. Knowles

Walden Dissertations and Doctoral Studies

By the time students transition from elementary to middle school, many do not demonstrate mastery of recalling basic math facts. This 8-week quasi-experimental quantitative study, based in cognitive development and theories of the construction of memory, used a 3-level independent variable experimental design to determine if there was a relationship between teachers' implementation of timed drill practices and the students' level of automaticity with regard to basic multiplication facts in 9 sixth-grade, regular education math classes. The control group received no intervention, the first treatment group received weekly timed drill practice for 3 minutes, and a second treatment group received …