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Enseñanza de las matemáticas de primaria

Pedro Gómez and Carlos Velasco

En este tercer curso de acceso gratuito* del programa especializado Educación Matemática para profesores de primaria, conocerás los conceptos y técnicas para planificar e implementar tus clases.

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En este tercer curso de acceso gratuito* del programa especializado Educación Matemática para profesores de primaria, conocerás los conceptos y técnicas para planificar e implementar tus clases.

El curso tiene una duración aproximada de seis semanas, con una dedicación promedio de 4 horas semanales. Todas las evaluaciones tienen retroalimentación y podrás descargar la mayoría de los recursos del curso.

Este curso se basa en la información y los conocimientos que desarrollamos en los dos cursos anteriores de nuestro programa: Contenido de las matemáticas de primaria y Aprendizaje de las matemáticas de primaria. Te recomendamos tomar esos dos cursos antes de tomar este. Estos cursos también están disponibles en Coursera.

Este curso incluye videos de presentación y explicación de los temas, actividades de aprendizaje y evaluación, revisión por pares, mapas conceptuales, y bibliografía adicional. La evaluación está diseñada para que recibas realimentación que queda registrada en la plataforma, de manera que puedas continuar con tu progreso al conectarte nuevamente. Puedes descargar la mayoría de los contenidos para que los uses sin conexión a Internet.

La Universidad de los Andes desarrolló el programa especializado Educación Matemática para profesores de primaria gracias al apoyo de United Way Colombia, el Fondo Puentes de Caña, la Fundación SM y la Fundación Compartir, con la colaboración de la Fundación de la Universidad de los Andes en Nueva York, Estados Unidos.

* Al inscribirte al curso, puedes elegir la opción que más te interese: sin certificación, en cuyo caso tendrás acceso a todo el contenido y evaluaciones del curso de forma gratuita; o con certificación, en cuyo caso deberás aprobar un cuestionario de evaluación por módulo y cumplir con los demás requisitos de la plataforma: hacer la verificación de identidad al presentar las evaluaciones obligatorias, lograr el porcentaje mínimo para pasar el curso y pagar directamente a Coursera el precio de la certificación anunciado en la plataforma.

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What's inside

Syllabus

Bienvenida
Gracias por acompañarnos en el curso Enseñanza de las matemáticas de primaria. En este curso, conocerás los conceptos y procedimientos que te permitirán planificar una sesión de clase en un tema concreto de las matemáticas escolares. Este curso se basó en la información y los conocimientos que desarrollamos en los dos cursos anteriores de nuestro programa.
Read more
Enseñanza de las matemáticas escolares
En este módulo, abordamos la idea de tarea matemática escolar. Te presentamos los elementos de análisis para guiar la planificación de aula en temas concretos de las matemáticas escolares.
Enseñanza del número natural y sistemas de numeración
En este módulo, presentamos cómo los conceptos y técnicas descritos en el primer módulo de este curso se pueden poner en juego para planificar una sesión de clase para el tema Número natural y sistemas de numeración.
Enseñanza de las operaciones aritméticas
En este módulo, conocerás los procedimientos que te puede ayudar con la planificación de una sesión de clase para el tema operaciones aritméticas.
Enseñanza de los números racionales
En este módulo, presentamos los procedimientos para planificar una sesión de clase para el tema Números racionales.
Enseñanza de la geometría
En este módulo, presentamos los procedimientos que te permitirán planificar una sesión de clase para el tema Geometría.
Módulo 6 Enseñanza de la medida
En este módulo, presentamos los procedimientos para planificar una sesión de clase para el tema Magnitudes y medida.

Good to know

Know what's good
, what to watch for
, and possible dealbreakers
Enseña a los estudiantes a planificar sesiones de clase para temas concretos de matemáticas, lo que resulta beneficioso para los profesores de primaria
Desarrolla habilidades de planificación de clases, esenciales para profesores de primaria
Basado en una serie de cursos estructurados, lo que proporciona una base sólida para los estudiantes
Incluye una variedad de materiales de aprendizaje, como videos, actividades y revisión por pares
Requiere conocimientos previos de otros cursos del programa, lo que podría no ser accesible para todos los estudiantes
Es impartido por instructores reconocidos en el campo de la educación matemática, lo que aporta credibilidad al curso

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Reviews summary

Comprehensive primary math instruction

This course provides a comprehensive overview of how to effectively teach primary mathematics. Students will learn about the nature of mathematical tasks, how to plan and implement engaging math lessons, and how to assess student learning. The course is highly recommended for primary school teachers looking to improve their teaching practice.
Offers both free and paid enrollment options.
"Al inscribirte al curso, puedes elegir la opción que más te interese: sin certificación, en cuyo caso tendrás acceso a todo el contenido y evaluaciones del curso de forma gratuita; o con certificación, en cuyo caso deberás aprobar un cuestionario de evaluación por módulo y cumplir con los demás requisitos de la plataforma: hacer la verificación de identidad al presentar las evaluaciones obligatorias, lograr el porcentaje mínimo para pasar el curso y pagar directamente a Coursera el precio de la certificación anunciado en la plataforma."
Consists of six weeks of study with an average of four hours of work per week.
"El curso tiene una duración aproximada de seis semanas, con una dedicación promedio de 4 horas semanales."
Specifically tailored to the needs of primary school teachers.
"Excelente formación. Es un curso que deberían tomar todos los docentes de primaria a nivel nacional. Es pertinente y necesario para mejorar las practicas de aula en los establecimientos educativos y por ende las pruebas externas. Gracias por la oportunidad."
Provides techniques for assessing student learning and providing feedback.
"El curso fue muy enriquecedor para mi rol como formadora de maestros, pues al analizar y realizar las mejoras de las tareas escolares se puede fortalecer el dominio de la planificación en los maestros en formación."
Offers practical guidance on how to plan, implement, and assess math lessons.
"Excelente diplomado. Muy interesante, aprendí muchísimo. Muy organizado, muy didáctico y claro. Gracias a todos los profesores que nos acompañaron en los tres cursos. Dios les guarde!!"
Provides a framework for analyzing and improving the quality of math tasks.
"Excelente curso para mejorar la planificación matamática en primaria y por ende avanzar en el mejoramiento de mi practica docente en pro del aprendizaje de las niñas y niños."

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 Enseñanza de las matemáticas de primaria with these activities:
Revise probability and statistics concepts
Strengthen foundation in probability and statistics to support understanding of more advanced mathematical concepts.
Browse courses on Probability
Show steps
  • Review basic concepts of probability, such as probability distributions and conditional probability.
  • Refresh knowledge of statistical methods, including descriptive statistics, hypothesis testing, and regression analysis.
  • Practice applying probability and statistics concepts to real-world examples.
Organize and review course materials
Enhance understanding by organizing and reviewing course materials, ensuring essential concepts are well-grasped.
Show steps
  • Gather all course materials, including notes, assignments, and resources.
  • Organize materials by topic or concept.
  • Review materials regularly to reinforce learning and identify areas for improvement.
Review the basics of elementary mathematics
Reinforce the foundation in essential mathematics concepts to enhance understanding of more advanced topics.
Browse courses on Number Sense
Show steps
  • Review key concepts in number sense, such as place value and estimation.
  • Practice basic operations with whole numbers, decimals, and fractions.
  • Refresh measurement concepts, including units and conversion.
Five other activities
Expand to see all activities and additional details
Show all eight activities
Complete online practice exercises and quizzes
Strengthen mathematical skills and identify areas for improvement through regular practice.
Show steps
  • Identify areas where additional practice is needed.
  • Find online exercises and quizzes related to those areas.
  • Regularly practice solving problems and complete quizzes.
  • Review solutions and learn from mistakes.
Explore online tutorials on specific mathematical topics
Expand knowledge and understanding of specific mathematical concepts through guided online resources.
Show steps
  • Identify areas where additional support is needed.
  • Seek out reputable online tutorials from trusted sources.
  • Follow along with video or written tutorials.
  • Take notes and engage in practice exercises.
Participate in study groups or peer-led discussions
Enhance learning through collaboration and peer support, fostering a deeper understanding of mathematical concepts.
Show steps
  • Join or form a study group with peers.
  • Choose a topic to focus on.
  • Discuss the topic, share insights, and work through problems.
  • Provide feedback and support to group members.
Develop concept maps for selected mathematical topics
Reinforce understanding and connections between different mathematical ideas through visual representations.
Show steps
  • Choose a mathematical topic to focus on.
  • Brainstorm and organize related concepts.
  • Create a visual map that connects these concepts.
  • Add annotations and examples to explain relationships.
Develop a lesson plan for teaching a specific mathematical topic
Apply mathematical knowledge and pedagogical principles to create a tailored lesson plan, deepening understanding and enhancing teaching skills.
Show steps
  • Choose a specific mathematical topic to focus on.
  • Research and gather relevant information.
  • Develop learning objectives and align activities accordingly.
  • Plan for assessment and differentiation.
  • Write up the lesson plan, including clear instructions and materials.

Career center

Learners who complete Enseñanza de las matemáticas de primaria will develop knowledge and skills that may be useful to these careers:
Elementary School Teacher
As an Elementary School Teacher, the ideas and concepts taught in this course on teaching primary mathematics will be immediately applicable to your career. While this course is not designed to replace state-mandated professional development programs, the information you learn here may help you to understand and implement the state standards in your classroom.
Curriculum Developer
As a Curriculum Developer, the ability to design and implement effective lesson plans is essential, and this course will introduce you to the concepts and techniques you need to do this effectively in primary mathematics. The course will help you to understand the different elements of a lesson plan, how to sequence instruction, and how to assess student learning.
Instructional Designer
Instructional Designers create and develop instructional materials for use in a variety of settings, including schools, businesses, and other organizations. This course can help Instructional Designers to develop effective and engaging instructional materials for primary mathematics education. This course will introduce you to the principles of instructional design, as well as specific techniques for developing and evaluating instructional materials.
Early Childhood Educator
Early Childhood Educators play a vital role in the development of young children, and this course can help you to provide them with a strong foundation in mathematics. The course will help you to understand the different stages of mathematical development and how to create a supportive learning environment for young children.
Education Consultant
Education Consultants work with schools and other organizations to improve educational outcomes. This course can help Education Consultants to better understand the challenges and opportunities in primary mathematics education. The course will provide you with the knowledge and skills you need to develop and implement effective educational programs.
Teacher Educator
Teacher Educators prepare future teachers to enter the classroom, and this course can help you to provide them with the knowledge and skills they need to teach primary mathematics effectively. The course will help you to understand the different theories and practices of mathematics education, and how to develop and implement effective lesson plans.
Superintendent
Superintendents oversee the entire school district, and this course can help you to develop the skills you need to be an effective leader in primary mathematics education. The course will provide you with the knowledge and skills you need to develop and implement a comprehensive mathematics program, and to support teachers and principals in their efforts to improve student learning.
Principal
Principals oversee the academic and operational aspects of a school, and this course can help you to develop the skills you need to be an effective leader in primary mathematics education. The course will provide you with the knowledge and skills you need to develop and implement a comprehensive mathematics program, and to support teachers in their efforts to improve student learning.
Mathematics Teacher
Mathematics Teachers are responsible for teaching mathematics to students in grades K-12, and this course can help you to develop the skills you need to be an effective teacher. The course will provide you with the knowledge and skills you need to plan and deliver effective mathematics lessons, and to assess student learning.
Researcher
Researchers conduct research on a variety of topics, including mathematics education. This course can help Researchers to develop the skills they need to design and conduct effective research studies, and to analyze and interpret data. The course will provide you with the knowledge and skills you need to write research papers and present your findings at conferences.
Professor
Mathematics Professors are responsible for teaching mathematics to students at the college or university level, and this course can help you to develop the skills you need to be an effective professor. The course will provide you with the knowledge and skills you need to plan and deliver effective mathematics lectures, and to assess student learning.
Data Analyst
Data Analysts collect, analyze, and interpret data to help organizations make better decisions. This course can help Data Analysts to develop the skills they need to collect and analyze data, and to present their findings in a clear and concise way. The course will provide you with the knowledge and skills you need to use statistical software and to write data analysis reports.
Actuary
Actuaries use mathematical and statistical techniques to assess risk and uncertainty. This course can help Actuaries to develop the skills they need to analyze data and to make sound financial decisions. The course will provide you with the knowledge and skills you need to pass the Actuarial Exam.
Financial Analyst
Financial Analysts use mathematical and financial techniques to analyze and make investment recommendations. This course can help Financial Analysts to develop the skills they need to analyze financial data and to make sound investment decisions. The course will provide you with the knowledge and skills you need to pass the Chartered Financial Analyst (CFA) Exam.
Operations Research Analyst
Operations Research Analysts use mathematical and statistical techniques to solve business problems. This course can help Operations Research Analysts to develop the skills they need to analyze data and to make sound business decisions. The course will provide you with the knowledge and skills you need to pass the Certified Analytics Professional (CAP) Exam.

Reading list

We've selected eight 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 Enseñanza de las matemáticas de primaria.
This publication from the NCTM outlines essential principles and standards for teaching mathematics in grades K-12. It provides guidance on curriculum, instruction, assessment, and professional development.
Este libro es un **clásico de la didáctica de las matemáticas** que ofrece una visión general de los principios y métodos de enseñanza de las matemáticas. Proporciona una base teórica sólida y ofrece numerosos ejemplos prácticos.
This practical guide focuses on student-centered mathematics instruction in the primary grades. It offers lesson ideas, activities, and assessment strategies to engage students and foster their mathematical understanding.
Este libro presenta un análisis exhaustivo del currículo de matemáticas para la educación primaria en España. Proporciona una guía detallada sobre los contenidos, objetivos y competencias a desarrollar en cada curso.
Este libro explora los procesos cognitivos implicados en el aprendizaje de las matemáticas en la escuela primaria. Proporciona herramientas para diseñar y evaluar actividades que promuevan el razonamiento matemático.
Provides a comprehensive overview of the cognitive processes involved in mathematical learning. It covers topics such as number sense, spatial reasoning, and problem-solving, and discusses their implications for teaching.
Explores the cognitive mechanisms underlying our understanding of numbers and mathematics. It provides insights into how the brain processes numerical information and how these processes develop in children.
While not directly related to mathematics education, this book provides valuable insights into the cognitive processes involved in learning and problem-solving. It discusses how video games can engage players and promote critical thinking skills.

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