Education Commons^™

Bridging The Gap Between The Industrial Environment And The Classroom Via Project-Based Learning, Michael W. Martin

Michael W Martin

Recent engineering education research has concluded that most engineering curricula do not promote attainment of many characteristics desired in practicing engineers. Methods to attain these characteristics include both project-based learning (PBL) and simulation of workplace situations in the educational environment. The presenter will outline the use of both PBL and workplace simulation through the implementation of a semester-long project in a senior-level Data Acquisition course taught out of the Department of Engineering Technology at Northern Michigan University. A typical undergraduate experimental analysis or data acquisition course will review topics including; sensoring, hardware requirements, testing techniques, computer integration, software use, and …

A Novel Method For Solving Nonlinear Equations, Mohsen Mahmood Doroodchi, Habibolla Latifizadeh

H. L. Zadeh

The confluence of modern mathematics and symbolic computation has posed a challenge to develop methodologies capable of handling strongly nonlinear equations which cannot be successfully dealt with by classical methods. The current proposed method is uniquely quali#12;ed to address this challenge. The idea of Variational Iteration Method (VIM) is to construct a correction functional by a general Lagrange multiplier which can be identi#12;ed optimally via the variational theory. The novel technique proposed in this paper provides a sequence of functions which converges to the exact solution of the nonlinear problem without requiring small parameters as the perturbation techniques and the …

Inferring Impulsive-Analytic Disposition From Written Responses, Kien Lim, Miguel Mendoza

Kien H Lim

Impulsive disposition refers to one’s proclivity to spontaneously proceed with an action that comes to mind without checking its relevance. Analytic disposition refers to one’s proclivity to analyze a problem situation and establishes a goal to guide one’s actions. An instrument, called the likelihood-to-act survey, was developed to measure students’ impulsive-analytic disposition. In this study, we sought to test and refine this instrument by analyzing 92 participants’ written responses to open-ended questions that were adapted from items in the likelihood-to-act survey. We found relatively strong correlations between participants’ disposition scores for written responses and those from the likelihood-to-act survey.

Continuing Discussion Of Mathematical Habits Of Mind, Annie Selden, Kien H. Lim

Kien H Lim

The idea of “mathematical habits of mind” has been introduced to emphasize the need to help students think about mathematics “the way mathematicians do.” There seems to be considerable interest among mathematics educators and mathematicians in helping students develop mathematical habits of mind. The objectives of this working group are: (a) to continue the discussion of various views and aspects of mathematical habits of mind begun at PME-NA 31, (b) to explore avenues for research, (c) to encourage research collaborations, and (d) to interest doctoral students in this topic.

Continuing Discussion Of Mathematical Habits Of Mind, Annie Selden, Kien H. Lim

Kien H Lim

The idea of “mathematical habits of mind” has been introduced to emphasize the need to help students think about mathematics “the way mathematicians do.” There seems to be considerable interest among mathematics educators and mathematicians in helping students develop mathematical habits of mind. The objectives of this working group are: (a) to continue the discussion of various views and aspects of mathematical habits of mind begun at PME-NA 31, (b) to explore avenues for research, (c) to encourage research collaborations, and (d) to interest doctoral students in this topic. In the Proceedings of PME-NA 31, we provided an overview of …

The Role Of Prediction In The Teaching And Learning Of Mathematics, Kien Lim, Gabriela Buendía, Ok-Kyeong Kim, Francisco Cordero, Lisa Kasmer

Kien H Lim

The prevalence of prediction in grade-level expectations in mathematics curriculum standards signifies the importance of the role prediction plays in the teaching and learning of mathematics. In this article, we discuss benefits of using prediction in mathematics classrooms: (1) students’ prediction can reveal their conceptions, (2) prediction plays an important role in reasoning and (3) prediction fosters mathematical learning. To support research on prediction in the context of mathematics education, we present three perspectives on prediction: (1) prediction as a mental act highlights the cognitive aspect and the conceptual basis of one’s prediction, (2) prediction as a mathematical activity highlights …

Global Warming Responses At The Primary Secondary Interface: 2 Potential Effectiveness Of Education, Keith R. Skamp, Edward Boyes, Martin Stanisstreet

Adjunct Professor Keith R Skamp

In an earlier paper (Skamp, Boyes, & Stanisstreet, 2009b), students’ beliefs and willingness to act in relation to 16 specific actions related to global warming were compared across the primary secondary interface. More primary students believed in the effectiveness of most actions to reduce global warming and were willing to take those actions. In general there was a disparity between students’ beliefs and their actions and explanations were proffered for these differences. Using these data, a derived measure of the potential effectiveness of education in encouraging each of these proenvironmental actions to reduce global warming is reported. This measure, and …

Project Stimmulis: Science Teachers Integrating Mathematical Modeling For Undergraduate Learning And Instruction In Schools, William H. Robertson, David Carrego

William H. Robertson

Computer-based mathematical modeling in Physics is a process of constructing models of concepts and the relationships between them in the scientific characteristics of work. In this manner, computer-based modeling integrates the interactions of natural phenomenon through the use of models, which provide structure for theories and a base for experimentation. Utilizing this method, scientists construct knowledge, and in like manner, students in science construct their understandings in significant ways, addressing their preconceptions and their knowledge of concepts in physics. Project STIMMULIS provides a mathematical modeling context for pre-service mathematics and science teachers’ conceptual and applied understanding of motion. Project STIMMULIS …

Dr. Skateboard’S Action Science: Increasing Science Knowledge And Skills For Middle School Teachers, William H. Robertson

William H. Robertson

Dr. Skateboard’s Action Science maps to the physical science Texas Essential Knowledge & Skills (TEKS) standards that all middle school students need to learn. Dr. Skateboard’s Action Science explores scientific concepts in a curriculum supplement that is designed to address both physical science content and process skills. The video instruction focuses on fundamental concepts found in the areas of motion, forces, Newton’s Laws of Motion, and simple machines. The use of familiar activities, situations and objects, such as skateboarding and bicycle motocross (BMX), around which students can explore and explain scientific concepts can be defined as action science. The main …

Addressing Impulsive Disposition: Using Non-Proportional Problems To Overcome Overgeneralization Of Proportionality, Kien Lim, Osvaldo Morera

Kien H Lim

Impulsive disposition is an undesirable way of thinking where one spontaneously applies the first idea that comes to mind without checking its relevance. In this research, we explore (a) the possibility of helping pre-service teachers improve their disposition, from being impulsive to being analytic, in one semester, and (b) the effect of using non-proportional situations. This study involves two sections of a mathematics course for pre-service teachers for Grades 4-8. The lessons were designed whenever possible to elicit students’ impulsive disposition so that they could become cognizant of it and make conscious attempts to overcome it. Some test items were …

Participation In Science, Mathematics And Technology In Australian Education, John Ainley, Julie Kos, Marina Nicholas

Dr Julie Kos

This report was commissioned to update and extend the Background Data and Analysis component of the report, Australia’s Teachers: Australia’s Future – Advancing Innovation, Science, Technology and Mathematics (Committee for the Review of Teaching and Teacher Education, 2003a) that informed the Main Report (Committee for the Review of Teaching and Teacher Education, 2003b). In the five years since the 2003 review, there have been developments in science, technology and mathematics education that have been impacted on by initiatives in policy and practice as well by changes in the context. So that changes in science, technology and mathematics education can be …

Best Practices For Inclusive Science Instruction, Lucinda S. Spaulding, Jenny Sue Flannagan

Lucinda S. Spaulding

The purpose of this session is to provide an overview of evidence based best practices for inclusive science instruction and to equip teachers with applicable strategies for scaffolding instruction and responding to learner needs based on research in special education and science instruction. As a result of this session, participants will learn strategies and methods for helping students learn to independently design experiments, use the scientific process, and develop critical thinking skills. There will also be an emphasis on effective co-teaching practices and employing instructional strategies for reinforcing skills and content knowledge across the curriculum, providing more time for instruction …

Mathematical Communication And Its Relation To The Frequency Of Manipulative Use., Karl Kosko, Jesse Wilkins

Karl W Kosko

Many studies on manipulatives describe communication in mathematics as a component for properly implementing manipulatives in the classroom. However, no empirical research is available to support this relationship. Secondary analysis of data collected by the National Center for Educational Statistics from the Early Childhood Longitudinal Study was used to examine whether a relationship between students’ manipulative use and communication in mathematics learning exists. Correlational analyses found a significant relationship between students’ verbal and written communication and manipulative use.

Codes Declassified: The Stories, Kalvin Whittles

Kalvin Whittles Dr.

One of the recommendations of the doctoral study, Cryptology: A didactical transposition into a grade 10 school mathematics classroom is to place the topic of cryptology in the public domain. The book Codes declassified: The stories aims to do so through stories to introduce readers to some of the codes in cryptology.

Letter Writing: Providing Preservice Teachers With Experience In Posing Appropriate Mathematical Tasks To High School Students, Karl Kosko, Anderson Norton, Angie Conn, Jan Michael San Pedro

Karl W Kosko

No abstract provided.

"The Data Suggest": Writing In The Sciences, Christopher Gillen

Christopher M. Gillen

A Glance On The Past And Recent History Of Mathematics In Iran, Habibolla Latifizadeh

H. L. Zadeh

No abstract provided.

Decomposition Method For Analytical Solution Of The Second Paineleve' Equation, Habibolla Latifizadeh

H. L. Zadeh

No abstract provided.

The Variational Iteration Method For Cauchy Problems, Habibolla Latifizadeh

H. L. Zadeh

No abstract provided.

Decomposition-Transform Method For Fractional Differential Equations, Habibolla Latifizadeh

H. L. Zadeh

No abstract provided.

Analytical Modelling Of Fractional Advection-Dispersion Equation Defined In A Bounded Space Domain, Habibolla Latifizadeh

H. L. Zadeh

No abstract provided.

Determination Of Buckling Loads And Mode Shapes Of A Heavy Vertical Column Under Its Own Weight Using The Variational Iteration Method, Habibolla Latifizadeh

H. L. Zadeh

No abstract provided.

Analytical Solution Of Linear And Non-Linear Space-Time Fractional Reaction-Diffusion Equations, Habibolla Latifizadeh

H. L. Zadeh

No abstract provided.

Homotopy Perturbation Transform Method For Nonlinear Equations Using He’S Polynomials, Habibolla Latifizadeh

H. L. Zadeh

No abstract provided.

Application Of Modified Laplace Decomposition Method For Solving Boundary Layer Equation, Habibolla Latifizadeh

H. L. Zadeh

No abstract provided.

A New Method For Solving Boundary Value Problems For Partial Differential Equations, Habibolla Latifizadeh

H. L. Zadeh

No abstract provided.

Analytical Solution Of Second-Order Hyperbolic Telegraph Equation By Variational Iteration And Homotopy Perturbation Methods, Habibolla Latifizadeh

H. L. Zadeh

No abstract provided.