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Kempen, Leander; Biehler, Rolf – ZDM: The International Journal on Mathematics Education, 2019
In the study presented, as we report in this paper, we describe our theoretical and practical consideration to engage first-year pre-service teachers in proving activities in the context of a transition-to-proof course. We investigated how students argued to verify a claim of elementary number theory on entering university and compared the results…
Descriptors: College Freshmen, Preservice Teachers, Mathematics Skills, Mathematical Logic
Alfaro, Helen; Joutsenlahti, Jorma – LUMAT: International Journal on Math, Science and Technology Education, 2020
The study of mathematics at the university level requires logical thinking and strong mathematical skills. Contemporary first-year students are not prepared for these demands and end up failing their courses. This study aims to present an instrument for enhancing mathematics teaching and promoting learning with understanding in higher education by…
Descriptors: College Mathematics, Mathematics Instruction, Engineering Education, Calculus
Riddell, Patricia – Changing English: Studies in Culture and Education, 2016
Fox argues that the poetic function of language fulfils the human need to symbolise. Metaphor, simile and analogy provide examples of the ways in which symbolic language can be used creatively. The neural representations of these processes therefore provide a means to determine the neurological basis of creative language. Neuro-imaging has…
Descriptors: Figurative Language, Brain, Logical Thinking, Neurological Organization
Golson, Emily Becker; Kirscht, Judith – 1983
According to S. K. Langer, people create meaning through presentational and discursive symbolism. Presentational symbolism, Langer suggests, is an abstracted sense of experienced life, while discursive symbolism is a series of subordinating or coordinating positions that set in motion the relation of ideas and permits the discussion of causation.…
Descriptors: Cognitive Processes, Comprehension, Language Usage, Learning Theories
Esty, Warren W.; Teppo, Anne R. – Focus on Learning Problems in Mathematics, 1994
Describes a general education course addressing the linguistic and logical aspects of the language of mathematics which is intended to develop students' abilities to read mathematics, express mathematical thoughts clearly, reason logically, and grasp the nature of proof. Students improved their algebraic procedural skills and attitudes toward…
Descriptors: Course Descriptions, Course Evaluation, Higher Education, Logical Thinking
Klein, Marvin L.; Grover, Burton L. – 1970
This research project was carried out to test the hypothesis that symbolic logic instruction, if taught in a secondary school field situation in a way which included specific applications to argumentative composition, would effect greater improvement in composition and logical sentence analysis than if the students received little or no…
Descriptors: Educational Research, English Instruction, Essays, Logical Thinking
UPTON, ALBERT – 1961
THIS BOOK ABOUT THE FUNCTIONS OF LANGUAGE IN HUMAN LIFE EMPHASIZES LEARNING HOW TO CLASSIFY, DEFINE, AND ANALYZE. FOLLOWING AN EXPLANATION OF THE PHYSIOLOGICAL AND PSYCHOLOGICAL ROOTS OF LANGUAGE, CHAPTERS ON ANALYSIS, MEANING, SIGNS, AMBIGUITY, SEMANTIC GROWTH, AND METAPHOR LEAD TO A DESCRIPTION OF THE COMMUNICATIVE FUNCTION OF LANGUAGE,…
Descriptors: Classification, Communication Skills, Communication (Thought Transfer), Creative Thinking