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Rafael Alberto Méndez-Romero and María Angélica Suavita Ramírez

La aritmética y el álgebra son dos de los pilares de las matemáticas que se usan frecuentemente tanto en situaciones de la cotidianidad como en los cursos de matemáticas universitarias. En este MOOC se abordan algunos temas de estos pilares en el marco de las matemáticas básicas cuyo estudio y comprensión brindarán herramientas para resolver problemas relacionados y estudiar temas posteriores. Se presentan además algunas situaciones relacionadas con matemáticas críticas, invitando a los participantes a la reflexión alrededor de problemáticas actuales.

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La aritmética y el álgebra son dos de los pilares de las matemáticas que se usan frecuentemente tanto en situaciones de la cotidianidad como en los cursos de matemáticas universitarias. En este MOOC se abordan algunos temas de estos pilares en el marco de las matemáticas básicas cuyo estudio y comprensión brindarán herramientas para resolver problemas relacionados y estudiar temas posteriores. Se presentan además algunas situaciones relacionadas con matemáticas críticas, invitando a los participantes a la reflexión alrededor de problemáticas actuales.

El curso Elementos matemáticos para el pensamiento crítico hace parte de una serie de cinco MOOC en los que se persigue desarrollar competencias básicas en los campos de (1) matemáticas, (2) lecto escritura, (3) inglés, (4) competencias vocacionales y (5) competencias informacionales, manteniendo como componente transversal la reflexión y el análisis crítico que suscitan las situaciones de Justicia Social.

What you'll learn

  • Analizar y usar diferentes formas de representación
  • Plantear y resolver problemas
  • Relacionar los conceptos estudiados con situaciones de la vida real
  • Leer expresiones del lenguaje matemático
  • Comunicar usando el lenguaje matemático
  • Construir el significado de una fórmula o concepto

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What's inside

Learning objectives

  • Analizar y usar diferentes formas de representación
  • Plantear y resolver problemas
  • Relacionar los conceptos estudiados con situaciones de la vida real
  • Leer expresiones del lenguaje matemático
  • Comunicar usando el lenguaje matemático
  • Construir el significado de una fórmula o concepto

Syllabus

Módulo I: Aritmética
1. Números reales
2. Prioridad de las operaciones
3. Fracciones
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4. Razones, proporción y porcentajes
Módulo II: Álgebra
1. Exponentes, propiedades y simplificación
2. Expresiones algebraicas
3. Productos notables
4. Factorizaciones algebraicas

Good to know

Know what's good
, what to watch for
, and possible dealbreakers
Desarrolla habilidades de razonamiento lógico y analítico esenciales para el éxito académico y laboral
Permite aplicar conocimientos matemáticos a situaciones de la vida real, fomentando la transferencia de habilidades
Los instructores, Rafael Alberto Méndez-Romero y María Angélica Suavita Ramírez, son expertos reconocidos en educación matemática
Forma parte de una serie integral de MOOC que abordan competencias básicas y el pensamiento crítico, proporcionando una base sólida para el aprendizaje continuo
Se centra en principios matemáticos fundamentales, proporcionando una base sólida para estudios posteriores en matemáticas
Puede requerir conocimientos previos en matemáticas básicas, lo que puede ser una barrera para algunos estudiantes

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Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Elementos matemáticos para el pensamiento crítico with these activities:
Leer "Aritmética para universitarios" de David C. Lay
Proporciona una base sólida en conceptos aritméticos esenciales.
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  • Leer detenidamente cada capítulo e identificar los conceptos clave.
  • Resolver los ejercicios de práctica al final de cada sección.
  • Revisar los conceptos en el texto cuando sea necesario.
Crear un mapa conceptual de los conceptos aritméticos y algebraicos
Mejora la comprensión y la retención al visualizar las conexiones entre conceptos.
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  • Identificar los conceptos principales y las relaciones entre ellos.
  • Usar un software o dibujar a mano un diagrama que represente las conexiones.
  • Revisar y refinar el mapa conceptual a medida que se avanza en el curso.
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Career center

Learners who complete Elementos matemáticos para el pensamiento crítico will develop knowledge and skills that may be useful to these careers:
Mathematician
This course provides a strong foundation in arithmetic and algebra, which are essential for a career as a Mathematician.
Statistician
This course offers an introduction to the use of mathematics in statistical analysis, which is essential for developing and applying statistical models in a career as a Statistician.
Operations Research Analyst
This course will help you develop the critical thinking and problem-solving skills essential for success as an Operations Research Analyst.
Data Scientist
This course may be useful for building a foundation in the mathematical concepts used in data science, such as algebra and arithmetic.
Business Analyst
This course teaches analytical skills and problem-solving techniques which are essential for success in a career as a Business Analyst.
Auditor
This course can assist you in developing the analytical skills necessary to succeed as an Auditor.
Accountant
The arithmetic and algebra skills taught in this course may be useful for an Accountant to review and strengthen their understanding of these concepts, which are essential for preparing and analyzing financial statements.
Teacher
The topics of this course, such as algebra and arithmetic, may be useful to review before teaching high school students, and the skills it teaches will be valuable to use to explain abstract concepts to students.
Financial Analyst
This course may be useful for building a foundation in the fundamentals of mathematics used in finance, such as algebra and arithmetic.
Consultant
This course can assist you in developing the critical thinking and problem-solving skills necessary to succeed as a Consultant.
Quantitative Analyst
This course provides a solid foundation in arithmetic and algebra, which are essential for understanding financial modeling and data analysis in a career as a Quantitative Analyst.
Actuary
The mathematical skills taught in this course may be useful for an Actuary to review and strengthen their understanding of these concepts, which are essential for analyzing and pricing financial risks.
Data Analyst
This course teaches critical thinking skills and problem-solving techniques which are essential for success in a career as a Data Analyst.
Software Engineer
This course may be useful for developing the critical thinking and problem-solving skills that are essential for success as a Software Engineer.
Researcher
This course may assist you in advancing your career as a Researcher by teaching you how to solve problems and analyze data, which are essential skills for data collection and analysis.

Reading list

We've selected 13 books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Elementos matemáticos para el pensamiento crítico.
Classic textbook on calculus. It covers a wide range of topics, from basic concepts to more advanced topics such as differential equations and multivariable calculus. It valuable resource for students who want to learn more about calculus or who need a reference book for their studies.
Classic textbook on algebra. It covers a wide range of topics, from basic concepts to more advanced topics such as group theory and ring theory. It valuable resource for students who want to learn more about algebra or who need a reference book for their studies.
Concise and well-written introduction to basic mathematics. It covers a wide range of topics, from basic concepts to more advanced topics such as calculus and linear algebra. It valuable resource for students who want to learn more about mathematics or who need a reference book for their studies.
Classic introduction to mathematics for non-mathematicians. It covers a wide range of topics, from basic concepts to more advanced topics such as calculus and statistics. It valuable resource for students who want to learn more about mathematics or who need a reference book for their studies.
Fascinating journey through the lives and work of some of the greatest mathematicians in history. It valuable resource for students who want to learn more about the history of mathematics or who are interested in the lives of great mathematicians.
Lively and engaging introduction to mathematics. It covers a wide range of topics, from basic concepts to more advanced topics such as calculus and statistics. It valuable resource for students who want to learn more about mathematics or who need a reference book for their studies.
Comprehensive and authoritative introduction to mathematics. It covers a wide range of topics, from basic concepts to more advanced topics such as calculus and statistics. It valuable resource for students who want to learn more about mathematics or who need a reference book for their studies.
This textbook provides a comprehensive introduction to intermediate algebra. It valuable resource for students who are looking for a deeper understanding of the concepts covered in the course.
Este libro cubre los conceptos matemáticos básicos, desde los números hasta las operaciones. Es un recurso útil para los estudiantes que buscan repasar los conceptos matemáticos fundamentales o para aquellos que necesitan un apoyo adicional en sus estudios de matemáticas.
Este libro de texto integral cubre todos los temas de aritmética y álgebra que se tratan en el curso. Es un recurso valioso para los estudiantes que buscan un repaso o una introducción al material del curso.
This textbook covers the fundamental concepts of arithmetic and algebra that are essential for elementary school teachers. It provides a solid foundation for understanding the mathematics that students will learn in elementary school.
Este libro es una guía sencilla y accesible del álgebra. Cubre temas como ecuaciones, inecuaciones, funciones y gráficos. Es un recurso útil para los estudiantes que necesitan ayuda con el álgebra o para aquellos que buscan una revisión rápida de los conceptos fundamentales.

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