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PubMedDate not supplied

Does 1 + 1 still equal 2? A study of the mathematic competencies of associate degree nursing students.

Many associate degree nursing students lack basic computational mathematic ability. When a computational mathematics test was administered to more than 850 associate degree nursing students nationwide, the results were amazingly consistent. The mean student score on the Computational Arithmetic Test was 75%. The findings showed that students were mathematically underprepared, particularly in skills involving fractions, decimals, and percents, the mathematic skills necessary for medication calculation. The author also surveyed associate degree nursing faculty (n = 118) from the same schools of nursing as to how successful they felt their students would be on a computational mathematics test. The average faculty expected student performance was 88%.

Adult↗

PubMed2003

The conceptual basis of mathematics in cardiology: (I) algebra, functions and graphs.

This is the first in a series of four articles developed for the readers of. Without language ideas cannot be articulated. What may not be so immediately obvious is that they cannot be formulated either. One of the essential languages of cardiology is mathematics. Unfortunately, medical education does not emphasize, and in fact, often neglects empowering physicians to think mathematically. Reference to statistics, conditional probability, multicompartmental modeling, algebra, calculus and transforms is common but often without provision of genuine conceptual understanding. At the University of Vermont College of Medicine, Professor Bates developed a course designed to address these deficiencies. The course covered mathematical principles pertinent to clinical cardiovascular and pulmonary medicine and research. It focused on fundamental concepts to facilitate formulation and grasp of ideas. This series of four articles was developed to make the material available for a wider audience. The articles will be published sequentially in Coronary Artery Disease. Beginning with fundamental axioms and basic algebraic manipulations they address algebra, function and graph theory, real and complex numbers, calculus and differential equations, mathematical modeling, linear system theory and integral transforms and statistical theory. The principles and concepts they address provide the foundation needed for in-depth study of any of these topics. Perhaps of even more importance, they should empower cardiologists and cardiovascular researchers to utilize the language of mathematics in assessing the phenomena of immediate pertinence to diagnosis, pathophysiology and therapeutics. The presentations are interposed with queries (by Coronary Artery Disease, abbreviated as CAD) simulating the nature of interactions that occurred during the course itself. Each article concludes with one or more examples illustrating application of the concepts covered to cardiovascular medicine and biology.

Cardiology↗

PubMed2003

The conceptual basis of mathematics in cardiology: (II). Calculus and differential equations.

This is the second in a series of four articles developed for the readers of Coronary Artery Disease. Without language ideas cannot be articulated. What may not be so immediately obvious is that they cannot be formulated either. One of the essential languages of cardiology is mathematics. Unfortunately, medical education does not emphasize, and in fact, often neglects empowering physicians to think mathematically. Reference to statistics, conditional probability, multicompartmental modeling, algebra, calculus and transforms is common but often without provision of genuine conceptual understanding. At the University of Vermont College of Medicine, Professor Bates developed a course designed to address these deficiencies. The course covered mathematical principles pertinent to clinical cardiovascular and pulmonary medicine and research. It focused on fundamental concepts to facilitate formulation and grasp of ideas. This series of four articles was developed to make the material available for a wider audience. The articles will be published sequentially in Coronary Artery Disease. Beginning with fundamental axioms and basic algebraic manipulations they address algebra, function and graph theory, real and complex numbers, calculus and differential equations, mathematical modeling, linear system theory and integral transforms and statistical theory. The principles and concepts they address provide the foundation needed for in-depth study of any of these topics. Perhaps of even more importance, they should empower cardiologists and cardiovascular researchers to utilize the language of mathematics in assessing the phenomena of immediate pertinence to diagnosis, pathophysiology and therapeutics. The presentations are interposed with queries (by Coronary Artery Disease abbreviated as CAD) simulating the nature of interactions that occurred during the course itself. Each article concludes with one or more examples illustrating application of the concepts covered to cardiovascular medicine and biology.

Cardiology↗

PubMed2003

The conceptual basis of mathematics in cardiology III: linear systems theory and integral transforms.

This is the third in a series of four articles developed for the readers of Coronary Artery Disease. Without language ideas cannot be articulated. What may not be so immediately obvious is that they cannot be formulated either. One of the essential languages of cardiology is mathematics. Unfortunately, medical education does not emphasize, and in fact, often neglects empowering physicians to think mathematically. Reference to statistics, conditional probability, multicompartmental modeling, algebra, calculus and transforms is common but often without provision of genuine conceptual understanding. At the University of Vermont College of Medicine, Professor Bates developed a course designed to address these deficiencies. The course covered mathematical principles pertinent to clinical cardiovascular and pulmonary medicine and research. It focused on fundamental concepts to facilitate formulation and grasp of ideas.This series of four articles was developed to make the material available for a wider audience. The articles will be published sequentially in Coronary Artery Disease. Beginning with fundamental axioms and basic algebraic manipulations they address algebra, function and graph theory, real and complex numbers, calculus and differential equations, mathematical modeling, linear system theory and integral transforms and statistical theory. The principles and concepts they address provide the foundation needed for in-depth study of any of these topics. Perhaps of even more importance, they should empower cardiologists and cardiovascular researchers to utilize the language of mathematics in assessing the phenomena of immediate pertinence to diagnosis, pathophysiology and therapeutics. The presentations are interposed with queries (by Coronary Artery Disease abbreviated as CAD) simulating the nature of interactions that occurred during the course itself. Each article concludes with one or more examples illustrating application of the concepts covered to cardiovascular medicine and biology.

Cardiology↗

PubMed2003

The conceptual basis of mathematics in cardiology IV: statistics and model fitting.

This is the fourth in a series of four articles developed for the readers of Coronary Artery Disease. Without language ideas cannot be articulated. What may not be so immediately obvious is that they cannot be formulated either. One of the essential languages of cardiology is mathematics. Unfortunately, medical education does not emphasize, and in fact, often neglects empowering physicians to think mathematically. Reference to statistics, conditional probability, multicompartmental modeling, algebra, calculus and transforms is common but often without provision of genuine conceptual understanding. At the University of Vermont College of Medicine, Professor Bates developed a course designed to address these deficiencies. The course covered mathematical principles pertinent to clinical cardiovascular and pulmonary medicine and research. It focused on fundamental concepts to facilitate formulation and grasp of ideas. This series of four articles was developed to make the material available for a wider audience. The articles will be published sequentially in Coronary Artery Disease. Beginning with fundamental axioms and basic algebraic manipulations they address algebra, function and graph theory, real and complex numbers, calculus and differential equations, mathematical modeling, linear system theory and integral transforms and statistical theory. The principles and concepts they address provide the foundation needed for in-depth study of any of these topics. Perhaps of even more importance, they should empower cardiologists and cardiovascular researchers to utilize the language of mathematics in assessing the phenomena of immediate pertinence to diagnosis, pathophysiology and therapeutics. The presentations are interposed with queries (by Coronary Artery Disease abbreviated as CAD) simulating the nature of interactions that occurred during the course itself. Each article concludes with one or more examples illustrating application of the concepts covered to cardiovascular medicine and biology.

Cardiology↗

PubMed2005

The challenge of computer mathematics.

Progress in the foundations of mathematics has made it possible to formulate all thinkable mathematical concepts, algorithms and proofs in one language and in an impeccable way. This is not in spite of, but partially based on the famous results of Gödel and Turing. In this way statements are about mathematical objects and algorithms, proofs show the correctness of statements and computations, and computations are dealing with objects and proofs. Interactive computer systems for a full integration of defining, computing and proving are based on this. The human defines concepts, constructs algorithms and provides proofs, while the machine checks that the definitions are well formed and the proofs and computations are correct. Results formalized so far demonstrate the feasibility of this 'computer mathematics'. Also there are very good applications. The challenge is to make the systems more mathematician-friendly, by building libraries and tools. The eventual goal is to help humans to learn, develop, communicate, referee and apply mathematics.

Algorithms↗

PubMedDate not supplied

Are mathematics disabilities due to a domain-general or a domain-specific working memory deficit?

The relationship between verbal and visual-spatial working memory and mathematical computation skill was examined in children and adults with and without disabilities in mathematics. A hierarchical regression analysis showed that, when partialing for the influence of reading ability, age, and gender, mathematical computation was better predicted by verbal than by visual-spatial working memory. Furthermore, the results showed that the relationship between mathematics ability and working memory were not significantly moderated by age but were stable across a broad age span. We concluded that, regardless of age, deficits in mathematics are mediated by both a domain-general and a domain-specific working memory system.

Adolescent↗

PubMedDate not supplied

Mathematics and academic diversity in Japan.

Japanese education has been the subject of considerable research and educational commentary in the United States over the last 20 years. Since the early 1990s, there has been increased interest in Japanese methods for teaching mathematics, and the Third International Mathematics and Science Study has accelerated American interest in Japanese methods. Observational studies, teacher and student surveys, and analyses of classroom videotapes have provided a rich picture of how the Japanese teach the whole class. However, little has been written about how academically low-achieving math students fare in Japanese schools. This article briefly summarizes Japanese methods for teaching mathematics and describes how the educational system addresses academic diversity. It concludes with a description of a method for teaching mathematics that some Japanese mathematics educators feel has promise for students with learning disabilities.

Adolescent↗

PubMedDate not supplied

Mathematics instruction for elementary students with learning disabilities.

Recent research in mathematics instruction requires educators to rethink long-established beliefs about teaching, learning, and assessment. In particular, this research underscores the need for problem solving and higher level thinking in mathematics. Consistent with these recommendations, this article presents and illustrates four promising themes for mathematics instruction that have emerged from research involving students with learning disabilities. These themes-(a) providing a broad and balanced mathematics curriculum; (b) engaging students in rich, meaningful problem tasks; (c) accommodating the diverse way in which children learn; and (d) encouraging students to discuss and justify their problem-solving strategies and solutions-suggest ways for rethinking the teaching and learning of mathematics in relation to students with learning disabilities.

Achievement↗

PubMed2006

Developmental dynamics between mathematical performance, task motivation, and teachers' goals during the transition to primary school.

BACKGROUND: It has been suggested that children's learning motivation and interest in a particular subject play an important role in their school performance, particularly in mathematics. However, few cross-lagged longitudinal studies have been carried out to investigate the prospective relationships between academic achievement and task motivation. Moreover, the role that the classroom context plays in this development is largely unknown. AIMS: The aim of the study was to investigate the developmental dynamics of maths-related motivation and mathematical performance during children's transition to primary school. The role of teachers' pedagogical goals and classroom characteristics on this development was also investigated. SAMPLE: A total of 196 Finnish children were examined four times: (0) in October during their preschool year; (1) in October and (2) April during their first grade of primary school; and (3) in October during their second grade. METHOD: Children's mathematical performance was tested at each measurement point. Task motivation was examined at measurement points 2, 3, and 4 using the Task-value scale for children. First-grade teachers were interviewed in November about their pedagogical goals and classroom characteristics. RESULTS AND CONCLUSIONS: The results showed that children's mathematical performance and related task motivation formed a cumulative developmental cycle: a high level of maths performance at the beginning of the first grade increased subsequent task motivation towards mathematics, which further predicted a high level of maths performance at the beginning of the second grade. The level of maths-related task motivation increased in those classrooms where the teachers emphasized motivation or self-concept development as their most important pedagogical goal.

Child↗

PubMed1998

Mathematics reform in the education of deaf and hard of hearing students.

In response to increased demand for competent workers who possess skills in problem solving, cooperative work, and technology, education professionals have set out to reform mathematics education. The purpose of the present study was to determine the state of mathematics reform in the education of deaf and hard of hearing students. A national survey was sent to administrators and faculty at schools for the Deaf seeking information on mathematics programs and instruction. Data were analyzed by profession (i.e., administrator, teacher) and grade level (K-4, 5-8, 9-12). Results show that some aspects of reform (e.g., problem solving, use of concrete materials) have been incorporated into the deaf education mathematics curriculum but that many 'traditional' techniques (e.g., drill and practice, rote memorization) remain in use. Data support the need for increased attention to mathematics education reform within deaf education. Recommendations are provided to professionals in the field to better prepare students for the 21st century.

Adolescent↗

PubMed1992

Association of attitude toward mathematics with self-efficacy, causal attribution, and personality traits.

983 children from Grades 1, 2, and 3 of the middle schools participated as subjects. Of these, 339 children were judged as having higher "self-efficacy" than the others. The associations of attitude toward mathematics with self-efficacy, attributions, and personality traits measured on the Shimoda Personality Inventory were investigated. Analysis showed that attitude toward mathematics had significant effects on mathematics performance. In attribution of effects to mathematics performance there were differences among the children across the grades. Among personality traits the immodithymic trait was significantly correlated with attitude toward mathematics.

Achievement↗

PubMed2000

Effects of listening to Mozart and Bach on the performance of a mathematical test.

The purpose of the current study was to assess the effect of listening to Mozart and Bach on the immediate performance of a 10-min. mathematical test. The study consisted of 61 undergraduate participants. Participants were randomly assigned to a control group, a Mozart group, or a Bach group. Participants were then administered a mathematics pretest, listened to a selection of music for 10 min., and were then administered a mathematics posttest. The test was constructed to be similar to items taken from the University Mathematics Placement Examination. Analysis indicated no significant effect on the immediate mathematics test when participants listened to 10 min. of either Mozart or Bach. These findings suggest caution in measuring differences in various cognitive tasks as indicating increases in intelligence scores.

Achievement↗

PubMed1990

Athletic self-concept and mathematics achievement in girls.

Several researchers have suggested that girls' mathematics performance may be mediated by an assertive sex role or "masculine interest." The present study made the assumption that girls' athletic self-confidence reflects "masculine interest" so girls' test scores for perceived athletic competence would be related to their mathematics achievement scores. A total of 207 boys and girls in Grades 4, 5, and 6 were tested for their perceived athletic ability using the Athletic Competence subscale of Harter's 1985 Self-perception Profile, and these scores were correlated with their mathematics achievement as measured on the Metropolitan Achievement Test and term grades. A low but significant correlation with Athletic Competence scores was found for girls on both measures of mathematics achievement. Although boys scored higher on the Athletic Competence subscale, there were no sex differences on either measure of mathematics achievement. Results are discussed in terms of both sex-role theory and cognitive development.

Achievement↗

PubMed1997

K-TEA Mathematics scores of learning disabled students in resource and inclusive settings.

The relative effectiveness of mathematics instruction in resource rooms versus inclusive settings was examined with 30 boys in Grades 5 and 6 identified as learning disabled in mathematics. The boys were presented at the beginning of the school year and posttested at the end. Treatment was 45 min. of daily instruction in mathematics provided by six teachers for one school year. K-TEA Mathematics Computation and Application scores, separately compared in 2 x 2 repeated measures analyses of variance, were not significantly different; however, a significant gain was noted across settings for K-TEA Mathematics Application scores.

Achievement↗

PubMed2005

Achievement in mathematics in grades 9 and 11 in Limpopo Province of South Africa: introduction of a problem-based approach.

800 students in Grades 9 and 11 of schools in the Central Region of the Limpopo Province of South Africa completed the Study Orientation Questionnaire in Mathematics. Mean age in Grade 11 was 17.5 yr. (SD = 1.4) and in Grade 9 15.1 yr. (SD = 1.2). Intervention was aimed at teachers and students in this group. Teachers in the trained group received training in a problem-based approach to teaching and learning in mathematics and introduced these principles into their classes. Analysis of variance on the differences between post- and pretest scores of the six subscales and the marks in mathematics and English yielded no effects for grade, sex, or grade after 6 mo. Pearson correlations for students in Grade 11 were positive between study orientation and achievement in mathematics. Improving teachers' training and expertise, transforming disadvantaged learning environments, and developing necessary formal and informal mathematical knowledge seem both essential and difficult.

Achievement↗

PubMed2003

Mathematics at matriculation level as an indicator of success or failure in the 1st year of the Veterinary Nursing Diploma at the Faculty of Veterinary Science, University of Pretoria.

Mathematics at matriculation level (Grade 12) is one of the subjects required for admission to the Veterinary Nursing Diploma in the Faculty at Veterinary Science of the University of Pretoria. The present study shows that there is no statistically significant relationship between the grade of mathematics at matriculation level and the success or failure in the 1st year of study. There is, however, a statistical difference in the adjusted mark obtained for mathematics at matriculation level between the groups that passed and failed the 1st year of the veterinary nursing course. The results of this research are not consistent with other research which showed that secondary school mathematics results are not a significant factor in tertiary education. It is recommended that selection criteria for veterinary nurses should in future still include mathematics, but that cognisance should be taken of the mark obtained and students with higher marks (above 57%) given preference.

Achievement↗

PubMed1978

[Use of mathematics in pathological anatomy].

The author discusses the possibilities of using mathematics in pathological anatomy studies on the basis of data from literature and his own studies. The information on the organization and planning of a mathematical investigation and on the features of the system approach to investigation of pathomorphology problems is presented. The main stages of the mathematical analysis of pathological changes are described with special reference to the use of likelihood and information approaches to the evaluation of the pathology of morphological systems at all levels of the structural organization. The principles of mathematical modelling and axiomatization of pathomorphological processes are outlined. The paper is illustrated with mathematical models of age dynamics of atherosclerosis and informational characteristics of the process of malignization of the stratified squamous epithelium. The general principles of further development of quantitative pathomorphology are briefly discussed.

Adenocarcinoma↗