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María C. Cañadas

En este curso de acceso gratuito*, conocerás algunos temas de las matemáticas escolares con la profundidad necesaria para que puedas ayudar a tus estudiantes a aprenderlas.

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En este curso de acceso gratuito*, conocerás algunos temas de las matemáticas escolares con la profundidad necesaria para que puedas ayudar a tus estudiantes a aprenderlas.

Este es el primer curso del programa especializado Educación Matemática para profesores de infantil. El segundo curso también está disponible en Coursera. Cada curso tiene una duración aproximada de cuatro semanas, con una dedicación promedio de 6 horas semanales. Todas las evaluaciones tienen retroalimentación y podrás descargar la mayoría de los recursos del curso.

En este curso, podrás conocer algunos temas de las matemáticas escolares desde dos enfoques: desde el contenido matemático y desde la enseñanza y aprendizaje de dicho contenido. Desde el enfoque del contenido, se persigue que los maestros de educación infantil tengan un mejor conocimiento del contenido de las matemáticas que enseñan, o que profundicen en el contenido que ya tienen.

Para el enfoque de la enseñanza y aprendizaje, nos basamos en un marco que se llama análisis cognitivo y que es una herramienta para que el docente aborde los problemas del aprendizaje de un tema concreto de las matemáticas escolares. El conocimiento de los aspectos cognitivos del tema de las matemáticas escolares permite organizar expectativas de aprendizaje, establecer las fases del aprendizaje de un tema, formular expectativas de aprendizaje concretas, identificar y organizar errores y dificultades, y prever la actuación de los escolares.

En el primer curso, trabajarás la lógica y la geometría en cuatro módulos: lógica elemental, pensamiento lógico matemático, geometría elemental y pensamiento espacial.

En el segundo curso, de forma análoga al primero, trabajarás los temas número y medida en cuatro módulos: conceptos numéricos y estructuras numéricas elementales, pensamiento numérico, magnitudes y medidas y pensamiento métrico.

Este curso incluye videos de presentación y explicación de los temas, actividades de aprendizaje y evaluación, 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.

Este es el primer curso del programa especializado Educación Matemática para profesores de infantil que la Universidad de los Andes desarrolló gracias al apoyo de INICIA Educación y el Instituto 512.

* 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 primer curso del programa Educación Matemática para profesores de infantil. En este curso, conocerás los distintos significados de algunos temas de las matemáticas y los fenómenos y situaciones que les dan sentido. Abordamos la lógica y la geometría en educación infantil desde dos enfoques: el contenido matemático y la enseñanza-aprendizaje de dicho contenido. Los temas de las cuatro semanas del curso son: lógica elemental, pensamiento lógico matemático, geometría elemental y pensamiento espacial
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Introducción a la lógica elemental
Pensamiento lógico matemático
En la segunda semana del curso, estudiaremos los aspectos relacionados con el pensamiento lógico matemático.
Geometría elemental
En la tercera semana del curso, estudiaremos los conceptos relacionados con la geometría elemental.
Pensamiento espacial
En la cuarta semana del curso, estudiaremos los aspectos relacionados con el pensamiento espacial.

Good to know

Know what's good
, what to watch for
, and possible dealbreakers
Curso de acceso gratuito que profundiza en temas de matemáticas escolares relevantes para docentes de infantil
Aborda tanto el contenido matemático como su enseñanza y aprendizaje
Utiliza un enfoque de análisis cognitivo para abordar los problemas de aprendizaje de las matemáticas
Recursos descargables para su uso sin conexión a Internet
Forma parte de un programa especializado en Educación Matemática para profesores de infantil

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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 Educación Matemática para profesores de infantil. Curso 1 with these activities:
Review prior knowledge of mathematical concepts
Refresh your memory of foundational mathematical concepts to strengthen your understanding of course material.
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  • Go over your notes or textbooks from previous math courses.
  • Review online resources or videos on fundamental concepts.
Review logical operations
Revisit the basics of logical operators to strengthen your foundation for understanding mathematical concepts.
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  • Read through lecture notes or textbooks on logical operations.
  • Practice solving logical puzzles or exercises.
Organize and review course materials
Keep your course materials well-organized and up-to-date to facilitate effective learning.
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  • Create a system for organizing your notes, assignments, and other course materials.
  • Review your materials regularly to reinforce concepts and identify areas for improvement.
Five other activities
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Show all eight activities
Compile a glossary of mathematical terms
Create a comprehensive glossary of key mathematical terms to enhance your understanding and retention of concepts.
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  • Identify essential mathematical terms from course materials and lectures.
  • Define each term clearly and concisely.
  • Include examples and illustrations to support your definitions.
Engage in peer discussions on mathematical concepts
Participate in discussions with peers to clarify concepts, share perspectives, and enhance comprehension.
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  • Identify a study partner or join a study group.
  • Choose specific mathematical concepts to discuss.
  • Engage in active listening, ask questions, and contribute insights.
Explore online tutorials on mathematical problem-solving
Seek out online resources to develop your problem-solving skills and reinforce mathematical concepts.
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  • Identify reputable online platforms or educators offering tutorials.
  • Select tutorials that align with specific course topics or areas where you need additional support.
  • Follow the tutorials, take notes, and practice the techniques presented.
Create visual representations of mathematical concepts
Use visual aids to enhance your understanding and memory of mathematical concepts.
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  • Choose a mathematical concept to represent visually.
  • Select an appropriate visual format (e.g., graphs, diagrams, charts).
  • Design and create the visual representation.
  • Reflect on the effectiveness of your visual aid.
Solve mathematical problems regularly
Regularly engage in problem-solving to improve your mathematical skills and confidence.
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  • Set aside dedicated time for practicing mathematical problems.
  • Find practice problems from textbooks, worksheets, or online resources.
  • Solve the problems independently.
  • Check your solutions and identify areas for improvement.

Career center

Learners who complete Educación Matemática para profesores de infantil. Curso 1 will develop knowledge and skills that may be useful to these careers:
Elementary School Teacher
The course *Educación Matemática para profesores de infantil. Curso 1* gives a strong foundation for teaching mathematics in early childhood. As an Elementary School Teacher, you will effectively teach mathematics using hands-on applications and activities that will resonate with what students learn in this course. Moreover, the course will reinforce concepts of both geometry and logic, which are essential to becoming an effective teacher for young learners at this level.
Kindergarten Teacher
As a Kindergarten Teacher, a student of *Educación Matemática para profesores de infantil. Curso 1* will bring unique insights for teaching logic and geometry in a way that is tailored for students at this level. This course will be particularly helpful for new teachers who wish to develop their foundational knowledge of mathematical concepts in order to better teach them to their students.
Mathematics Teacher
By introducing concepts of logic and geometry, *Educación Matemática para profesores de infantil. Curso 1* builds a strong knowledge base that will assist students who wish to become Mathematics Teachers. These skills will prove especially helpful for establishing fundamentals of mathematics that help foster a life-long love for learning mathematics.
Curriculum Developer
For someone who wishes to be a Curriculum Developer, the course *Educación Matemática para profesores de infantil. Curso 1* provides a solid understanding of mathematics. This understanding will lay the groundwork to devise new ways of bringing mathematical teaching to early childhood education.
Teacher Assistant
Assisting teachers in a classroom setting requires a foundational knowledge of mathematics. By developing this foundational knowledge through *Educación Matemática para profesores de infantil. Curso 1*, you will be better equipped to help teach young students mathematical concepts.
Education Consultant
An Education Consultant will benefit from the focus on logic and geometry taught in *Educación Matemática para profesores de infantil. Curso 1*. This course provides a deep dive into methods of teaching mathematics to young learners who are new to these concepts for the first time.
Mathematics Tutor
*Educación Matemática para profesores de infantil. Curso 1* may help budding Mathematics Tutors develop a deeper understanding of the mathematical topics they will be tutoring. Therefore, this course will strengthen their ability to impart mathematical knowledge to their clients.
Daycare Teacher
Many Daycare Teachers may benefit from the content of *Educación Matemática para profesores de infantil. Curso 1*. Particularly, the focus on geometry at the early childhood level will equip daycare teachers with skills to teach these concepts to their young students.
Nanny
Nannies may find *Educación Matemática para profesores de infantil. Curso 1* helpful as it gives a strong foundation in the fundamentals of mathematics. This knowledge may be used to help children develop their math skills outside of the classroom.
Babysitter
Babysitters may use *Educación Matemática para profesores de infantil. Curso 1* to teach their charges basic mathematical concepts during playtime or other activities. This course will provide foundational knowledge for teaching these concepts to young children.
Early Childhood Education Director
For those who wish to become Early Childhood Education Directors, *Educación Matemática para profesores de infantil. Curso 1* may be helpful as it offers a foundational understanding of mathematical concepts. This knowledge can be applied to create programs that will help children learn and grow in their mathematical abilities.
Education Policy Analyst
*Educación Matemática para profesores de infantil. Curso 1* may be useful for people who want to be Education Policy Analysts. The course will provide insights into how mathematical concepts are taught to young children and the impact of different teaching methods on student learning.
Child Psychologist
*Educación Matemática para profesores de infantil. Curso 1* is designed for teachers, but it may also be useful for aspiring Child Psychologists. The course provides a comprehensive introduction to the cognitive development of young children, with a particular focus on the development of mathematical thinking.
Higher Education Administrator
*Educación Matemática para profesores de infantil. Curso 1* is unlikely to be especially helpful to someone who wants to be a Higher Education Administrator, as the course is focused on teaching mathematics to young children. However, the course may be useful for someone who wants to work in a higher education setting and have a better understanding of how children learn mathematics.
Chief Executive Officer
*Educación Matemática para profesores de infantil. Curso 1* is unlikely to be useful to someone who wants to be a Chief Executive Officer. The course is focused on teaching mathematics to young children and does not cover the skills and knowledge that are necessary for a CEO role.

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 Educación Matemática para profesores de infantil. Curso 1.
Este libro examina el desarrollo del pensamiento espacial en los niños pequeños y ofrece estrategias para promover sus habilidades de visualización, orientación y representación.
Provides a comprehensive overview of the mathematics that elementary school teachers need to know, including number theory, algebra, geometry, and measurement. It is written in a clear and concise style, and includes many examples and exercises.
Provides a detailed account of the development of mathematical thinking in children. It covers topics such as number sense, spatial reasoning, and problem solving.
Este libro presenta los conceptos fundamentales de la geometría, especialmente aquellos que son relevantes para la enseñanza en la escuela primaria. Incluye una variedad de actividades y ejercicios para ayudar a los maestros a desarrollar su comprensión del tema.
Provides a comprehensive overview of the geometry that elementary school teachers need to know. It is written in a clear and concise style, and includes many examples and exercises.
This journal valuable resource for teachers of mathematics in the early years. It includes articles on a wide range of topics, including teaching strategies, assessment, and curriculum development.
This journal is another valuable resource for teachers of mathematics in the early years. It includes articles on a wide range of topics, including teaching strategies, assessment, and curriculum development.
Examines the trajectory of mathematical development in young children and explores the factors that influence their learning.

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