Science and Mathematics Education Commons^™

An Optimal Choice Of Initial Solutions In The Homotopy Perturbation Method, Habibolla Latifizadeh

H. L. Zadeh

This paper proposes a reliable modification of the homotopy perturbation method which can serve as a promising tool for solving a large class of differential equations. In this approach only the highest order derivative is considered in the solution procedure, and the initial solution which can be obtained by the standard procedure is decomposed to optimally match the solution procedure. Some examples are given, showing that only one or few iterations lead to exact solutions using the new technology, while the standard HPM algorithm yields infinite series converging to the exact solutions.

Developmental Students' Perceptions Of Unsuccessful And Successful Mathematics Learning, Laurel Howard

Laurel Howard

The purpose of this phenomenological study was to describe what experiences, attitudes, and learning strategies developmental mathematics students believed contributed to their failure to gain basic math skill proficiency in the past and what experiences, attitudes, and learning strategies these students now believed were most likely to enhance the successful learning of basic math skills. To gain an understanding of the lived experiences of successful developmental mathematics students who were previously unsuccessful, structured, open-ended interviews were conducted, classroom observations were made, and formative and summative assessments for the students were collected. Fourteen students from a western 4-year college were selected …

Reconstruction Of Variational Iteration Algorithms Using The Laplace Transform, Habibolla Latifizadeh

H. L. Zadeh

The variational iteration method is a very efficient tool for solving various kinds of nonlinear equations. The variational iteration algorithms are derived based on general Lagrange multipliers and variational theory, this paper suggests an alternative approach to derivation of the variational iteration formulations using the Laplace transform. Some illustrative examples are given to show the validity of this method.

Mathematical Habits Of Mind: A Working Group At The 2009 Pme-Na Conference, Kien Lim, Annie Selden

Kien H Lim

The objectives of this working group are: (a) to discuss various views and aspects of mathematical habits of mind, (b) to explore avenues for research, (c) to encourage research collaborations, and (d) to interest doctoral students in this topic. To facilitate the discussion during the working group meetings, we provide an overview of mathematical habits of mind, including concepts that are closely related to habits of mind—ways of thinking, mathematical practices, knowing-to act in the moment, cognitive disposition, and behavioral schemas. We invite mathematics educators who are interested in habits of mind, and especially those who have conducted research related …

Supply, Demand And Approaches To Employment By People With Postgraduate Research Qualifications In Science And Mathematics: Final Report, Daniel Edwards, T Smith

Dr Daniel Edwards

This is the final report bringing together knowledge and understanding of issues relating to the supply, demand and employment outcomes for people with higher degree research (HDR) qualifications in science and mathematics. The report highlights a number of key findings from the overall project. They are: * Australia has a growing supply of people with HDR science and mathematics qualifications. However, university completions in the science and mathematics fields is below that in non-scientific disciplines. * Consultations and case studies suggest that the demand for HDR qualifications in science and mathematics fields is low within private industry. * There is …

Supply, Demand And Approaches To Employment By People With Postgraduate Research Qualifications In Science And Mathematics: Case Studies, Daniel Edwards, T Smith

Dr Daniel Edwards

This is the third report of a research project which examines the supply and demand of people with postgraduate research qualifications in science and mathematics. In the report, four organisations showcase examples of good employment practices which cover issues associated with recruitment, retention, staff development and career paths. The report was completed in November 2008. To gain an overall perspective of the factors influencing supply and demand for this group it is important to consider all the reports in this project.

Supply, Demand And Approaches To Employment By People With Postgraduate Research Qualifications In Science And Mathematics: Stakeholder Consultations, Daniel Edwards, T Smith

Dr Daniel Edwards

This is the second report of a research project which examines the supply and demand of people with postgraduate research qualifications in science and mathematics. Consultations were conducted with key employers of the target group to identify levels and patterns of demand and their views about issues associated with employing these postgraduates. Key factors relating to salary levels, facilitators and barriers to employment were also considered.

Pisa Mathematics - An Insider's View, Ross Turner

Ross Turner

New Approach To Mixture Of The Adomian Decomposition And Homotopy Perturbation Method For Approximate And Analytical Solution Of Integral Equations And Fractional Differential Equations, Habibolla Latifizadeh

H. L. Zadeh

No abstract provided.

Burning The Candle At Just One End: Using Nonproportional Examples Helps Students Determine When Proportional Strategies Apply, Kien H. Lim

Kien H Lim

Solutions Of The Zakharov-Kuznetsov, Helmholtz And One-Dimensional Nonhomogeneous Parabolic Partial Differential Equations Using Differential Transformation Method (Dtm), Habibolla Latifizadeh

H. L. Zadeh

No abstract provided.

Helping Students Develop Mathematical Habits Of Mind: A Joint Panel Session At The 2009 Jmm Conference, Kien Lim, Kristin Camenga

Kien H Lim

Cuoco, Goldenberg, and Mark advocate habits of mind as an organizing principle for a mathematics curriculum where students learn to be “pattern sniffers, experimenters, describers, tinkerers, inventors, visualizers, conjecturers, and guessers.” Harel regards habits of mind as interiorized ways of thinking—conceptual tools that are necessary for constructing mathematical objects. Presenters for this session offer various perspectives and strategies for helping students develop mathematical habits of mind, including examples from different content areas and at different levels.

通过数学任务提高美国职前教师的数学成熟性 (Advancing Pre-Service Teachers’ Mathematical Sophistication Via Mathematical Tasks), Kien Lim, 庞雅丽, 赵锐

Kien H Lim

2008年5月22日，香港数学教育学会在香港浸会大学举行了研讨会。本文以该研讨会上的发言为蓝本，区分了以下四种差异：（1）约定俗成的数学与学校数学之间的差异；（2）理解方式与思维方式之间的差异；（3）成熟的学习者与被动的学习者之间的差异；（4）知识传授与知识参与这两种教学模式之间的差异。文章还讨论了Harel提出的教学原则以及数学任务的设计与它们在课堂中的使用，并呈现了具体的案例来说明如何设计数学任务以实现特定的学习与教学目标，如激发学生学习某一特定概念的需要，促进理想的思维方式，阻止不合适的思维方式以及评估学生的概念性理解。

General Educators’ Inservice Training And Their Self- Perceived Ability To Adapt Instruction For Special Needs Students., Karl Kosko, Jesse Wilkins

Karl W Kosko

Recent research has suggested that the professional development general educators receive is not adequately preparing them to properly implement inclusion-based practices. In this study, data from the Study of Personnel Needs in Special Education was used to investigate the relationship among teachers’ years of experience teaching students with Individualized Education Programs (IEPs), the amount of professional development received over the past 3 years, and teachers’ self-perceived ability to adapt instruction for students with IEPs. Results indicate that any amount of professional development in a 3-year period significantly predicts teachers’ perceived ability to adapt instruction; however, at least 8 hours of …