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Mathematician, college
teacher and writer
Date and Place of Birth October 24, 1945, Río Piedras, Puerto Rico |
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Academic Studies | |
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September, 1980
1968 - 1969
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Ph.D, Massachusetts Institute
of Technology
Completed most of the requirements for the Ph.D. candidacy (Comprehensive Exams in Logic and Algebra, and language exam in French amd German) Group of Logic and Methodology of Science, University of California (Berkeley) |
December, 1968 | MA (Mathematics), University of California (Berkeley) |
May, 1967 | BA (Mathematics), University of Puerto Rico (Río Piedras) |
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Teaching Experience | |
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1987 | Professor, Department of Mathematics, University of Puerto Rico (Río Piedras) |
1981 - 1987 | Associate professor, Department of Mathematics University of Puerto Rico (Río Piedras) |
1969 -1981 | Assistant professor, Department of Mathematics University of Puerto Rico (Río Piedras) |
1965 - 1966 | Student teacher, Juan Ponce de León High School Río Piedras, Puerto Rico |
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Research Experience | |
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July 1986 to present
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Project director of a research project on the teaching of mathematics funded by the Puerto Rican Community Foundation |
January, 1983 to present | Project director of research project on mathematics word problems funded by University of Puerto Rico (FIPI) |
September, 1980 to 1981 | Research project, jointly done with Dr. Judath Schwartz of MIT funded by NIE (National Institute of Education) |
1976 - 1977 | Project director of NSF funded research project on mathematics learning in the public Schools of Puerto Rico. |
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Improvement of Teaching | |
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1973 - 1975
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Preparation of a T.V. Mathematics
Course
My main responsability was preparing the student textbook Department of Mathematics, University of Puerto Rico. |
1970 - 1972 | Preparation of a Mathematics Course for Liberal Art Students |
1970 - 1971
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Design and teaching of mathematics curriculum for an Experimental Program and Teacher Training of the Puerto Rico Junior College. |
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Administrative Experience | |
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July 1986 to present | Special assistant to the UPR President in charge of Educational Reform |
July 1980 to May 1986
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Coordinator of the Outreach Community Component Resource Center for Science and Engineering, University of Puerto Rico - Funded by N.S.F. |
Summer 1986 | Project director of a Summer Research Program for High School Student funded by the National Institute of Health |
Summer 1985 | Project director of a Summer Research Program for High School Student funded by the National Institute of Health |
Summer 1983 | Project director of a Summer Research Program for High School Student funded by the National Institute of Health |
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Consultant and Referee | |
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September 1986 | Reviewer of manuscript for the Journal for Research in Mathematics Education |
June 1985
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Member of the advisory group for the College Board's Articulation Agrrement project between the Puerto Rico Department of Education and the New York City Board of Education |
May 1985 | Reviewer of manuscript for the Journal for the Research in Mathematics Education |
November 1984 | Reviewer of manuscript for the Journal for the Research in Mathematics Education |
July 1984 | Proposal Evaluation, N.S.F. |
June 1984 | Reviewer of manuscript for the American Educational Research Journal |
October 1980 | Proposal Evaluation, N.S.F. |
October 1980 | Referee on the research work of a professor of mathematics of the University of Massachusetts, Boston. |
January 1977 | Proposal Evaluation, N.S.F. |
June, 1977
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Consultant - Project for
Assessing Adult Competencies among Puerto Ricans.
Interamerican University of Puerto Rico |
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Publications | |
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1988 | Representaciones en la Enseñanza de la Matemática - Editorial de la Universidad de Puerto Rico |
1988
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"Investigación y Enseñanza" - Memorias de la Segunda Reunión Centroamericana y del Caribe sobre formación de Profesores e Investigación en Matemática Educativa, Guatemala |
1987
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"Formación de Conceptos Aritméticos en un Aula de 4to. Grado: Investigación en Acción "Memoria de la Primera Reunión Centroamericana y del Caribe sobre Formación de Profesores e Investigaicón Matemática Educativa, Mexico |
1987 | "Helping Children Understand Ratios" Arithmetic Teacher, Vol. 34, Núm. 9 P17-21 |
1986 | ¿Qué me pasa con las matemáticas? University of Puerto Rico Press |
1986
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'The Role of Semantic Understanding on the Validation of a Mathematical Hypothesis"Proceedings of the Eight Annual Meeting North American Chapter of the Psychology of Mathematics Education Association. |
1986
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"Children Conceptual Understanding of Situations Invlolving Multiplication" Aritmetic Teacher Vol. 33, No. 3, p. 34-37 |
1985
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"Conceptual Understanding of Multiplication: Problems Involving Combination", Arithmetic Teacher Vol. 33, No. 3, p. 36-39 |
1985
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"Psicología y Educación"
Homines Special Issue Vol. No. 3, Nov. 1985, p. 171-176
Interamerican University of Puerto Rico |
1985 co-author | Introducción a las matemáticas - Fondo Educativo Interamericano, México. |
1985
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"La computadora en la enseñanza:
una visión crítica"
Boletín BEMSC, Multiple Service Center for Bilingual Education, Metropolitan University, November pp.5-10 |
1985 | "La informática y la educación: una preocupación" El Reportero, June 11, 18, 25 |
1984
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"Childrens Difficulties with two-step Word Problems" ERIC, clearinghouse for Science, Mathematics and Enviromental Education |
1983 | "The Role of Conceptual Understanding in Solving Word Problem: Two Step Problems involving Multiplication" |
Journal for Research in Mahematics Education Vol. 14, Number 2, March 1983 - P102-112 | |
1983
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"Los Problemas Verbales"
Homines, Vol. 7, Number 1 and 2, Feb.-Dec. 1983, pages 92-99,
Interamerican University of Puerto Rico |
1983
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"The Role of Conceptual Understanding in SOlving Word Problems: Two-step Problems" ERIC,Clearinghouse for Science, Mathematics and Enviromental Education, 1983, ED 227-003 |
1982 - coauthor | "The Development of the Concept of Ratio in Children" |
DSRE Working Paper #15, Massachusetts Institute of Technology, March, 1982 | |
1981
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Nuevas corrientes en las teorías de desarrollo cognoscitivo: Sus efectos en la educación Revista de Ciencias Sociales, Vol. XXIII, No. 1-2 Mayo-Junio 1981, Págs. 125-142 |
1981 | "Word Problems" (in Spanish) Revista Asociación Puertorriqueña de Maestros de Matemáticas 1981, pág. 4-6 |
1981 - coauthor
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"The Role of Semantic Understanding in Solving Multiplication and Division Word Problems" Final Report to the National Institute for Education in ERIC, Clearinghouse for Science, Mathematics and Enviromental Education, Oct. 1981 - ED209-080 |
1981
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"Conceptual Understanding
in Solving Multiplication Word Problem"
ERIC, Clearinghouse for Science, Mathematics and Enviromental Education - April 1981 ED 201497 |
1978
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"Variances in the learning
of mathematics among different socio-economic groups" (in Spanish)
Revista de Ciencias Sociales, Sept. 1978 University of Puerto Rico |
1975 - coauthor
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Elements of Mathematics
(in Spanish)
Students text used in the introductory course of mathematics. University of Puerto Rico |
1970 - coauthor
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Evaluation of an Experimental Teacher Training Program (in Spanish) The Department of Education of Puerto Rico Press. |
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Conferences and Symposium | |
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March, 1988
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"Aplicación al Aula
de la Investigación en Matemática Educativa"
Segunda Reunión Centroamericana y del Caribe sobre Formación de Profesores e Investigación en Matemática Educativa, Guatemala |
February, 1988 | "La Escuela: Oportunidad
y Restricciones"
Conferencia Renovación Educativa, Cayey |
February, 1988
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"Dificultades de los Estudiantes
con las Matemáticas" y "Seminario Colaborativo entre la Universidad
de Puerto Rico y el Departamento de Instrucción Pública:
Investigación en Acción
Primer Congreso de Investigación en la Educación, Universidad de Puerto Rico |
January, 1988
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"La demostración
en matemática"
Primer Seminario Universitario de Educación Matemática, Universidad de Puerto Rico |
November, 1987
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"Development of Mathematical Concepts in a Fourth Grade: An Action Research" Paper accepted for presentation at the 6th National Conference on Intellectual Skills Development, Western Michigan University, Michigan |
September, 1987
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"Innovation in the Teaching
of Mathematicas"
Kindle the Spark Conference The Regional Laboratory for Educational Improvement of the Northesat and Islands |
March, 1987
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"Formación de Conceptos
Aritméticos en un Aula de 4to. Grado: Investigación
en Acción"
Primera reunión Centroamericana y del Caribe sobre Matemática, México |
November, 1986 | "The teaching of mathematics
to future teachers"
Interamerican University |
October, 1986 | "The teaching of mathematics" Department of Mathematics, University of Puerto Rico. |
September, 1986
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"The Role of Semantic Understanding in the Formation and Evaluation of a Hypothesis", Paper accepted by the North American Chapter of the Psycology of Mathematics Education Association for presentation in thr Eight Annual Meeting. |
May, 1986 | "La Pedagogía como Ciencia", School of Education, University of Puerto Rico |
April, 1986
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"Innovación en la Enseñanza de Ciencias y Matemáticas", Talk at the conference on Academic Excellence in Science and Mathematic Metropolitan University, Puerto Rico |
April, 1986 | "Problem Solving" Teacher Training Workshop, Department of Education, Puerto Rico |
March, 1986
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"The teaching of mathematical proof" Talk at the Department of Mathematics, University of Puerto Rico, Río Piedras |
March, 1986 | "The teaching of mathematics" Talk at the Humacao University College |
October, 1985
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"The myth about the scientific method: it's implication for teaching" Seminar at the Department of Physical Science, University of Puerto Rico, Río Piedras, Puerto Rico |
August, 1985 | "Computers and Education" Conference at Colegio Universitario Metropolitano, San Juan |
April, 1985
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"Research on learning and
Mathematics Education"
Talk at the 18th Convention, Puerto Rican Association of Teachers of Mathematics |
March, 1985
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Workshop on Inductive and Deductive Reasoning 3rd Conference on Applied Mathematic, Interamerican University, Puerto Rico |
March, 1985
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"Uses of Microcomputers
in Education"
Presentation at the UNESCO Seminar on uses of Microcomputers in Science Education Puerto Plata, Dominican Republic |
January, 1985
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"Methodology of Mathematics
Teaching"
Talk at the Workshop on Methodology of Teaching Interamerican University, Puerto Rico |
April, 1984 | "Children Difficulties with Two-Step Word Problems" |
Paper accepted by the American Educational Research Association for the meeting on April, 1984 in New Orleans, Louisiana | |
March, 1984
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"Psychology and Education"
Paper accepted by the First Puerto Rican Congress on Psychology and Mental Health Interamerican University, Puerto Rico |
February, 1984
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"Choldren Difficulties with Intensive Quantities" Panel Discussion at the Founding Conference of the Educational Technology Center, Harvard Graduate School of Education, Cambridge, Massachusetts |
February, 1984
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"The Resource Center for Science and Engineering" Presentation at a 14th Conference of Education, Interamerican University, Puerto Rico |
April, 1983
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"Constructing meaning into
mathematics"
Talk at the 16th Convention, Puerto Rican Association of Teachers of Mathematics |
April, 1983
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"The Role of Conceptual
Understanding in Solving Word Problems: Two-Step Problems
Paper accepted by the American Educational Reseach Association for the meeting on April, 1983 in Montreal, Canada |
February, 1983
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"The Teaching of Word Problems" Mini-Convention Puerto Rican Association of Teachers of Mathematics, Arecibo, Puerto Rico |
October, 1982
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"Congnitive Factors en
Science Learning"
Seminar at the Department of Physical Science, Faculty of General Studies - October, 1982 |
December, 1981
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Reacting to a paper
Conference about the situation of Science Education in Puerto Rico Interamerican University San Germán, Puerto Rico |
April, 1981 | "Conceptual Understanding in Solving Multiplication Problems" |
Paper accepted by the American Education Research Association for the meeting on April 1981, in Los Angeles, Ca. | |
March, 1981
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"Uses of Computers in the
Classroom"
Mini-Convertion, Mathematical Association of America, University of Puerto Rico |
April, 1981
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Member of panel discussion "Problem Solving in Mathematics" 14th COnvention, Puerto Rican Association of Teachers of Mathematics |
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Academic honors | |
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1977 - 1979 | Fellow, Ford Foundation Graduate |
Fellowships Program | |
1975 - 1976 | National Science Foundation Faculty Fellow |
1967 - 1969 | National Science Foundation
Fellowship
university of California, Berkeley |
1967 - | B.A. Magna Cum Laude, University of Puerto Rico |
Medal of the Department of Mathematics for the most Outstanding Student in Mathematics | |
Medal of Exchange Clubs and of the Alumni Association both for student leadership. | |
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Professional and Civil Activities | |
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1987 | Junta de Consultores, Museo
del Niño Inc.
Puerto Rico |
1983 to present | Parent-Teacher Association's representative to the Evaluation Committee of the University Elementary School. |
1983 | Member of the Board of Director of the Dos Pinos Residents Cooperative |
1980 | Member of Parents Council of Julio Sellés Solá Public School. |
1970 to present | Member of the Center for the Study of Puerto Rican Reality (C.E.R.E.P.) |
1970 to present | Member of the Puerto Rican Association of University Professors. |
1973 - 1975 | President of the Board of Directors Parents' Pre-School Cooperative |
1966 - 1967 | Member of the Student Committee to draft Student Regulations of the University of Puerto Rico |
1965 - 1966 | Secretary of the Student Council of the College of Natural Sciences University of Puerto Rico |
Dr.
Cirilo Toro Vargas
Published on the Internet: March 18, 2001. |