The Effects of Emotional Support and Cognitive Motivational Messages on Math Anxiety, Self-Efficacy, and Math Problem Solving


Book Description

ABSTRACT: Math problem solving has been regarded as one of the major weaknesses in U.S. students' math performance for many years (Orabuchi, 1992). One of the main reasons that students do not perform well in math problem solving may be due to math anxiety. There has been increasing interest in math education areas on how to reduce math anxiety to enhance students' math performance. However, there were few empirical studies which examined the effects of various interventions towards decreasing math anxiety. Given the lack of empirical studies on how to reduce students' math anxiety and to increase math learning, this study examined the effects of emotional support and cognitive motivational messages on math anxiety, self-efficacy, and math problem solving. This study built upon the work done by Shen (2009) by modifying elements of his design and stimulus materials and by introducing a new independent variable: incremental ability beliefs. Thus, two independent variables - one for decreasing affective math anxiety (emotional support) and another for alleviating cognitive math anxiety (cognitive motivational messages) were used in this study. The pedagogical agents were used as a delivering method of a computer based module in this study, but not an independent variable of this study. Emotional support messages were designed to alleviate students' affective dimension of math anxiety. Emotional support messages were developed based on Shen's (2009) study, which was based on the multidimensional coping inventory (COPE) (Carver et al., 1989). In this study, emotional support messages included four scales related to emotion-focus coping, which are- positive reinterpretation and growth (RG), focus on and venting of emotions (VE), use of instrumental social support (IS), and use of emotional support (ES) from COPE (Carver et al., 1989). Emotional support messages were delivered by an instructor agent and peer agent to the emotional support group. Cognitive motivational messages were designed to reduce students' cognitive dimension of math anxiety which related to worry of performing well in mathematics. In this study, cognitive motivational messages specifically contained ability belief change messages to alleviate the cognitive dimension of math anxiety. Implicit theory separated students' ability beliefs into two categories: entity belief and incremental belief (Dweck, 1999). Incremental ability belief messages were provided to the cognitive motivational messages treatment group primarily by a scientist agent in a computer-based module with video clips and short messages which emphasize the students' abilities were not fixed and could be improved through effort. The initial idea for cognitive motivational messages came from an article "You can grow your intelligence: New research shows the brain can be developed like a muscle" which was used in previous experimental study (Blackwell et al., 2007). Thus, cognitive motivational messages were developed by the researcher based on Blackwell et al (2007)'s study and then were reviewed by an expert in motivational design. Eighty-eight GED students enrolled in GED math classes at a community college in Florida were distributed to four groups (emotional support only, cognitive motivational messages only, emotional support and cognitive motivational messages, and a control group) and asked to individually study a computer-based module about vocabulary, concepts, and formulas related to the Pythagorean Theorem for 45 to 60 minutes. Two different math anxiety questionnaires [Mathematics Anxiety Questionnaire (MAQ) (Wigfield & Meece, 1988) and Mathematics Anxiety Scale (MAS) (Fennema & Sherman, 1976)] were used in a pre-test and post-test. Self-efficacy questionnaires were modified to be aligned with the context of this study focusing on math problem solving using Kim's (2004) questionnaire. The math problem solving items were developed based on Shen (2009)'s items. MANOVA results indicate emotional support significantly affect the combined DV of math anxiety, self-efficacy, and math problem solving. A follow-up ANOVA revealed that emotional support had a significant effect on math anxiety and math problem solving. The emotional support group reported significantly lower math anxiety than the no emotional support group. Also, the emotional support group scored significantly higher in the post-test of math problem solving than the no emotional support group. MANOVA revealed a primary effect of cognitive motivational messages on the combined DV of math anxiety, self-efficacy, and math problem solving. A follow-up ANOVA revealed that cognitive motivational messages had a significant effect on self-efficacy. The cognitive motivational messages group reported significantly higher self-efficacy than the no cognitive motivational messages group. MANOVA revealed an interaction effect of emotional support and cognitive motivational messages on the combined DV of math anxiety, self-efficacy, and math problem solving. A follow-up ANOVA revealed that there was an interaction effect of emotional support and cognitive motivational messages on math anxiety. This study shows possibilities of adapting coping strategies as a form of emotional support and use incremental ability beliefs as the content of cognitive motivational messages. Also, the study found that pedagogical agents could be effective as a form of emotional and motivational support for students in a computer-based module. Further research studies which examine the effects of emotional support and cognitive motivational messages with different populations, subject areas, delivery medium, and long term treatment would be needed to expand the findings of this study. It is expected that further research based on this study would improve the nature of treatment and provide more solid evidence to researcher and teachers.




Mathematics Anxiety


Book Description

Feelings of apprehension and fear brought on by mathematical performance can affect correct mathematical application and can influence the achievement and future paths of individuals affected by it. In recent years, mathematics anxiety has become a subject of increasing interest both in educational and clinical settings. This ground-breaking collection presents theoretical, educational and psychophysiological perspectives on the widespread phenomenon of mathematics anxiety. Featuring contributions from leading international researchers, Mathematics Anxiety challenges preconceptions and clarifies several crucial areas of research, such as the distinction between mathematics anxiety from other forms of anxiety (i.e., general or test anxiety); the ways in which mathematics anxiety has been assessed (e.g. throughout self-report questionnaires or psychophysiological measures); the need to clarify the direction of the relationship between math anxiety and mathematics achievement (which causes which). Offering a revaluation of the negative connotations usually associated with mathematics anxiety and prompting avenues for future research, this book will be invaluable to academics and students in the field psychological and educational sciences, as well as teachers working with students who are struggling with mathematics anxiety




The Handbook of Mathematical Cognition


Book Description

How does the brain represent number and make mathematical calculations? What underlies the development of numerical and mathematical abilities? What factors affect the learning of numerical concepts and skills? What are the biological bases of number knowledge? Do humans and other animals share similar numerical representations and processes? What underlies numerical and mathematical disabilities and disorders, and what is the prognosis for rehabilitation? These questions are the domain of mathematical cognition, the field of research concerned with the cognitive and neurological processes that underlie numerical and mathematical abilities. TheHandbook of Mathematical Cognition is a collection of 27 essays by leading researchers that provides a comprehensive review of this important research field.




Attitudes, Beliefs, Motivation and Identity in Mathematics Education


Book Description

This book records the state of the art in research on mathematics-related affect. It discusses the concepts and theories of mathematics-related affect along the lines of three dimensions. The first dimension identifies three broad categories of affect: motivation, emotions, and beliefs. The book contains one chapter on motivation, including discussions on how emotions and beliefs relate to motivation. There are two chapters that focus on beliefs and a chapter on attitude which cross-cuts through all these categories. The second dimension covers a rapidly fluctuating state to a more stable trait. All chapters in the book focus on trait-type affect and the chapter on motivation discusses both these dimensions. The third dimension regards the three main levels of theorizing: physiological (embodied), psychological (individual) and social. All chapters reflect that mathematics-related affect has mainly been studied using psychological theories.




Understanding Emotions in Mathematical Thinking and Learning


Book Description

Emotions play a critical role in mathematical cognition and learning. Understanding Emotions in Mathematical Thinking and Learning offers a multidisciplinary approach to the role of emotions in numerical cognition, mathematics education, learning sciences, and affective sciences. It addresses ways in which emotions relate to cognitive processes involved in learning and doing mathematics, including processing of numerical and physical magnitudes (e.g. time and space), performance in arithmetic and algebra, problem solving and reasoning attitudes, learning technologies, and mathematics achievement. Additionally, it covers social and affective issues such as identity and attitudes toward mathematics. - Covers methodologies in studying emotion in mathematical knowledge - Reflects the diverse and innovative nature of the methodological approaches and theoretical frameworks proposed by current investigations of emotions and mathematical cognition - Includes perspectives from cognitive experimental psychology, neuroscience, and from sociocultural, semiotic, and discursive approaches - Explores the role of anxiety in mathematical learning - Synthesizes unifies the work of multiple sub-disciplines in one place







Winning at Math


Book Description

Every student must pass math courses to graduate. Doing well in math can both increase your career choices and allow you to graduate. "Winning at Math" will help you improve your math grades -- quickly and easily. The format of "Winning at Math" has bene revised to make it easier to read, and it contains much more proven math study skills techniques. The chapter on test anxiety has been expanded to assist students with math anxiety not just test anxiety. -- From publisher's description




Number Talks


Book Description

"A multimedia professional learning resource"--Cover.




Heterogeneity of Function in Numerical Cognition


Book Description

Heterogeneity of Function in Numerical Cognition presents the latest updates on ongoing research and discussions regarding numerical cognition. With great individual differences in the development or function of numerical cognition at neuroanatomical, neuropsychological, behavioral, and interactional levels, these issues are important for the achievement of a comprehensive understanding of numerical cognition, hence its brain basis, development, breakdown in brain-injured individuals, and failures to master mathematical skills. These functions are essential for the proper development of numerical cognition. - Provides an innovative reference on the emerging field of numerical cognition and the branches that converge on this diverse cognitive domain - Includes an overview of the multiple disciplines that comprise numerical cognition - Focuses on factors that influence numerical cognition, such as language, executive attention, memory and spatial processing - Features an innovative organization with each section providing a general overview, developmental research, and evidence from neurocognitive studies




The Number Sense


Book Description

"Our understanding of how the human brain performs mathematical calculations is far from complete. In The Number Sense, Stanislas Dehaene offers readers an enlightening exploration of the mathematical mind. Using research showing that human infants have a rudimentary number sense, Dehaene suggests that this sense is as basic as our perception of color, and that it is wired into the brain. But how then did we leap from this basic number ability to trigonometry, calculus, and beyond? Dehaene shows that it was the invention of symbolic systems of numerals that started us on the climb to higher mathematics. Tracing the history of numbers, we learn that in early times, people indicated numbers by pointing to part of their bodies, and how Roman numerals were replaced by modern numbers. On the way, we also discover many fascinating facts: for example, because Chinese names for numbers are short, Chinese people can remember up to nine or ten digits at a time, while English-speaking people can only remember seven. A fascinating look at the crossroads where numbers and neurons intersect, The Number Sense offers an intriguing tour of how the structure of the brain shapes our mathematical abilities, and how math can open up a window on the human mind"--Provided by publisher.