Science and Mathematics Education Commons^™

Exploring Relationships Among Teaching Styles, Teachers' Perceptions Of Their Self-Efficacy And Students' Mathematics Achievement, Christi Davis-Langston

Doctoral Dissertations and Projects

The purpose of this study was to examine the relationships among elementary school teachers' teaching styles, their perceptions of self-efficacy in teaching mathematics, and student mathematics achievement. Analysis of data collected from 95 teachers found small to moderate correlations between teaching style and measures of mathematics achievement. No statistically significant relationships were found between elementary school teachers' self-efficacy and students' mathematics achievement levels. Mathematics achievement (numbers and operations, geometry, and percentage of students who exceeded standards on the CRCT) was predicted by teaching styles (delegator, facilitator, and expert). Although the relationships were statistically significant, little variance in achievement was explained …

A College-Level Foundational Mathematics Course: Evaluation, Challenges, And Future Directions, Wes Maciejewski

Faculty Research, Scholarly, and Creative Activity

Recently in Ontario, Canada, the College Math Project brought to light startling data on the achievement of students in Ontario's College of Applied Arts and Technology System related to their performance in first-year mathematics courses: one-third of the students had failed their first-year mathematics course or were at risk of not completing their program because of their performance in such a course. Here I present the results of an attempt to address the findings of the College Math Project. A foundational mathematics course, based on the JUMP Math program, was designed and implemented at a college in Toronto, Ontario. Although …

We Could All Be Having So Much More Fun! A Case For The History Of Mathematics In Education., Louise Anderton, David Wright

Journal of Humanistic Mathematics

Many students experience mathematics as ahistorical and acultural. We review the philosophical roots of this experience and pose alternatives. We argue that there is evidence that the inclusion of a historical dimension into the teaching of mathematics courses at all levels, combined with an ‘active’ approach to learning, will improve motivation and achievement.

Concept Inventory Design For Determining Students’ Conceptual Understanding Of Oceanography, Leilani Arthurs

Discipline-Based Education Research Group Speaker Series

Concept inventories are relatively new types of diagnostic instruments intended to measure student learning. Concept inventories exist for astronomy, biology, chemistry, engineering, fluid mechanics, geology, and physics. None is yet available for oceanography, and development of the Introductory Oceanography Concept Inventory Survey (IO‐CIS) serves to fill this gap. A context‐driven development strategy was designed to create this instrument. Qualitative methods utilizing grounded theory and classical test theory were used to construct it. Quantitative methods, including statistical methods associated with classical test theory and item response theory, were used to evaluate and further refine the IO‐CIS. The instrument is valid and …

Incorporating Quantitative Reasoning In Common Core Courses: Mathematics For The Ghost Map, John R. Jungck

Numeracy

How can mathematics be integrated into multi-section interdisciplinary courses to enhance thematic understandings and shared common readings? As an example, four forms of quantitative reasoning are used to understand and critique one such common reading: Steven Berlin Johnson’s "The Ghost Map: The Story of London's Most Terrifying Epidemic - and How it Changed Science, Cities and the Modern World" (Riverhead Books, 2006). Geometry, statistics, modeling, and networks are featured in this essay as the means of depicting, understanding, elaborating, and critiquing the public health issues raised in Johnson’s book. Specific pedagogical examples and resources are included to illustrate applications and …

Parts Of The Whole: Learn More, Learn Better, Dorothy Wallace

Numeracy

Building on previous columns in Numeracy, this column analyzes various teaching techniques in terms of their ability to build cognitive schema, extend existing schema, reinforce learning, move mean understanding of a group of students, and reduce variance in understanding of a group. We offer a pedagogical cycle as an example of how to address multiple learning goals using common teaching methods.

If Only Math Majors Could Write..., Bernard L. Madison

Numeracy

This text of the opening plenary address to the 2011 Summit of the Appalachian College Association and the meeting of the National Numeracy Network makes an argument that quantitative reasoning and writing should be taught together. The argument is set up by noting that humanists have historically banished quantitative issues from their study of the liberal arts and that science, engineering, and mathematics education suffers from lack of approaches to learning that promote complex, deeper understanding, most notably integrative and reflective learning. Therefore, everyone would profit from combining writing and quantitative reasoning. Five more specific reasons are discussed, drawing evidence …

Period Life Tables: A Resource For Quantitative Literacy, Thomas J. Pfaff, Stanley Seltzer

Numeracy

A period life table provides an estimate of the probability that a person will die at a particular age. Using data available online, we examine tables of expected years to live for males and females against age for three populations: the United States in 2007, the U.S. at the turn of the twentieth century, and the Roman Empire. Scatter plots of males and females for each population show how life expectancy increases with age (e.g., U.S. 2007: 50 year-old female > 40 year-old female > 45 year-old male). The three data sets allow historical comparisons (e.g., of gender disparity, larger now; of …

Motivation For Achievement And Attitudes Toward Mathematics Instruction In A Required Calculus Course At The Norwegian University Of Science And Technology, Donna Sundre, Carol Barry, Vidar Gynnild, Erin Tangen Ostgard

Numeracy

This study from the Norwegian University of Science and Technology (NTNU) examines students’ learning goals and attitudes toward mathematics in a first-year calculus course in undergraduate engineering education. Achievement motivation research using the Achievement Goal Questionnaire (AGQ) is advanced from current literature with two additions: (1) a course specific context using introductory college calculus students, and (2) participation of Norwegian students.

Pre- and posttest measures of attitudes indicate that students do change learning goals over time, unfortunately opposite to the instructors’ aspirations. A significant increase in “Mastery Avoidance” and “Work Avoidance” was accompanied with a drop in “Mastery Approach” and …

Quantitative Literacy Interventions At University Of Cape Town: Effects Of Separation From Academic Disciplines, Vera Frith

Numeracy

The aim of the Numeracy Centre at the University of Cape Town is to develop students’ quantitative literacy (QL) in a manner consistent with their programmes of study and intended roles in the community. Our theoretical perspective on the nature of QL is in line with that of the New Literacies Studies and sees academic QL as practices in different academic disciplinary contexts. This means that for us the ideal curriculum structure for developing QL would fully integrate it into the teaching of the disciplines. This is in practice not achievable in most cases, especially since many students do not …

Numeracy, Financial Literacy, And Financial Decision-Making, Annamaria Lusardi

Numeracy

Financial decisions, be they related to asset building or debt management, require the capacity to do calculations, including some complex ones. But how numerate are individuals, in particular when it comes to calculations related to financial decisions? Studies and surveys implemented in both the United States and in other countries that are described in this paper show the level of numeracy among the population to be very low. Moreover, lack of numeracy is not only widespread but is particularly severe among some demographic groups, such as women, the elderly, and those with low educational attainment. This has potential consequences for …

The Joy Of Quantitative Reasoning, Caren Diefenderfer

Numeracy

One of the advantages of focusing on quantitative reasoning is that it spans a wide variety of topics. As incoming president of the National Numeracy Network, I would like to take the opportunity of this editorial to tell my story of intellectual reward from finding common purpose in quantitative reasoning with colleagues from disciplines outside of mathematics. The story starts with an NSF-funded faculty development project (DUE-9952807) to further a QR across-the-curriculum program and the finding from that program that merging authentic context with mathematics brings interaction and collaboration. That joy in learning from and working with colleagues in other …

Elements Of Proximal Formative Assessment In Learners’ Discourse About Energy, Benedikt W. Harrer, Rachel E. Scherr, Michael C. Wittmann, Hunter G. Close, Brian W. Frank

Faculty Publications

Proximal formative assessment, the just-in-time elicitation of students' ideas that informs ongoing instruction, is usually associated with the instructor in a formal classroom setting. However, the elicitation, assessment, and subsequent instruction that characterize proximal formative assessment are also seen in discourse among peers. We present a case in which secondary teachers in a professional development course at SPU are discussing energy flow in refrigerators. In this episode, a peer is invited to share her thinking (elicitation). Her idea that refrigerators move heat from a relatively cold compartment to a hotter environment is inappropriately judged as incorrect (assessment). The "instruction" (peer …

Evaluation Of The Relationship Of Learner-Centered Beliefs Of Seventh Grade Mathematics Teachers And Student Achievement On The Mathematics Section Of The North Carolina End-Of-Grade Assessment, Mary A. Steltz

Education Dissertations and Projects

This dissertation was designed to examine the personal domain in systemic reform. In an effort to improve student achievement, this study focused on accountability reform. The learner-centered model was based on what teachers believe about teaching and learning and how student motivation and achievement was influenced by those beliefs. Teacher practices, beliefs and behaviors had the greatest impact on student learning; therefore this study sought to establish identification of learner-centered teachers and their effectiveness on student achievement on the seventh grade mathematics section of the North Carolina End-of-Grade Assessment.

To that end, a non-experimental quantitative study design was used to …

The Relationship Of Learner-Centered Beliefs Of Eighth-Grade Math Teachers And Student Achievement On The North Carolina End-Of-Grade Mathematics Test, Takeda Lasha Legrand

Education Dissertations and Projects

Educators are charged with reform efforts to improve student achievement. Most efforts focus on accountability reform. The learner-centered model for school reform is organized around the personal domain for systemic reform. How teachers work with students is greatly influenced by policy and what they believe about student learning and behavior. Subsequently, teacher behaviors, beliefs, and practices impact learning. This dissertation attempted to establish teacher beliefs and their effectiveness on student achievement on the eighth-grade End-of-Grade Mathematics Test in the State of North Carolina.

This study was conducted within the Sandhills Regional Education Consortium located in the central part of North …

Title Page - Table Of Contents

Iowa Science Teachers Journal

No abstract provided.

What Should We Flip?, Jerrid Kruse

Iowa Science Teachers Journal

Educational fads are nothing new. Renaming or repackaging of old ideas are also not new. Indeed, anyone who has been in education for more than a few years will recognize how the pendulum of educational reform swings back and forth. Unfortunately, although things “change,” the change is not typically accompanied by “improvement” on a grand scale. One current trend is the notion of “flipping” or the “flipped classroom”.

Thinking Outside The Box: Using A Black Box Activity To Kick Off The School Year, Amanda Weeks, Stephanie Schemmel

Iowa Science Teachers Journal

This article discusses our approach to the first days of school. Students' first experiences in our classroom set the tone for the rest of the year. We start out the year with a black-box activity to engage students and begin helping our students understand the nature of science. This activity promotes National Science Education Standards G and Iowa Teaching Standards 1, 3, 4, 5, 6, and 8.

Searching The Web: Observing Spiders To Learn How Different Structures Serve Different Functions, Courtney King

Iowa Science Teachers Journal

Through exploration and small group discussion, first grade students made connections between physical structures of organisms and their function. Additionally, students explored various spider “homes”. This activity promotes National Science Education Content Standard C.

Does Participation In The Smith Summer Research Fellows (Surf) Program Increase Your Odds Of Attaining An Advanced Degree?, Tanya Hakim, Nicholas J. Horton, Cate Rowen, Minh Ly

The Office of Institutional Research

No abstract provided.