A Postgraduate certificate that will allow you to teach Arithmetic of a natural number and Mental Calculus techniques in an efficient way to your students”

Since its beginnings in Ancient Greece, through rigor, mathematical demonstrations and its wide extrapolation to the different branches of science, numerous strategies have been developed to implement an effective method of study of mathematics. However, although it has evolved over the years and due to the complexity presented by the integration of its concepts and procedures, the objectives for which they were designed were not achieved. And this is where the current pedagogical innovation comes in, where the student is made an active participant in a dynamic and enriched environment to promote more efficient learning using the most fun tool: the game.  

Therefore, it is essential to constantly update the specialized teacher in this subject and their communication skills in order to transmit knowledge efficiently, without losing an iota of rigor and gaining followers. For this reason, TECH has created this Postgraduate Certificate, to enable students to access a teaching that expands their competences when facing the difficulties and errors in the learning of mathematical operations in Pre-school Education.  

All this, thanks to a 100% online methodology, which will enable the student to obtain an efficient learning thanks to the management of their study schedules as they wish. Likewise, the didactic contents that you will have in this qualification are elaborated by the best experts in Arithmetic, Algebra, Geometry and Measurement, so the knowledge that you will acquire will be completely applicable in your work experiences. 

Learn in a dynamic environment, through collaborative activities and case studies offered by TECH in this exclusive Postgraduate certificate”

This Postgraduate certificate inArithmetic, Algebra, Geometry, and Measurement in Primary Education: Gamecontains the most complete and up-to-date educational program on the market. The most important features include: 

• The development of practical cases presented by experts in Arithmetic, Algebra, Geometry and Measurement
• The graphic, schematic, and practical contents with which they are created, provide practical information on the disciplines that are essential for professional practice 
• Practical exercises where the self-assessment process can be carried out to improve learning 
• Its special emphasis on innovative methodologies  
• Theoretical lessons, questions to the expert, debate forums on controversial topics, and individual reflection assignments 
• Content that is accessible from any fixed or portable device with an Internet connection

Mathematics can be fun and you can transmit it through the tools you will acquire with thisPostgraduate certificate”

The program includes in its teaching staff professionals from the sector who bring to this program the experience of their work, as well as recognized specialists from leading societies and prestigious universities.  

The multimedia content, developed with the latest educational technology, will provide the professional with situated and contextual learning, i.e., a simulated environment that will provide immersive education programmed to learn in real situations.  

This program is designed around Problem-Based Learning, whereby the professional must try to solve the different professional practice situations that arise during the academic year For this purpose, the students will be assisted by an innovative interactive video system created by renowned and experienced experts.   

Delve into the game as a strategy for logical-mathematical learning and become a specialized and dynamic teacher"

Invest in your education, acquire the necessary skills and abilities to update and improve your professional future"

The design of the content of thisPostgraduate certificate has been carried out by a team of teachers who are experts in Mathematics, specifically in the teaching of Arithmetic, Algebra, Geometry and Measurement for Elementary Education. Therefore, they have included 150 hours of the best theoretical, practical and additional content presented in different audiovisual formats. With the use of the revolutionary pedagogical methodology of TECH, the Relearning, the student will attend a natural and progressive teaching, without the need to invest hours need to spend hours memorizing. In this way, graduates are guaranteed an unparalleled educational experience, adapted to the demands and needs of all students who access this program.

You will educate in a practical and enjoyable way with this university qualification designed by experts in Arithmetic, Algebra, Geometry and Measurement”

Module 1. Arithmetic, Algebra and Measurement: Games

1.1. Natural Number and its didactics

1.1.1.     Natural Numbers and Decimal Numbering Systems in the School Curriculum
1.1.2.     Correspondence
1.1.3.     Natural Number
1.1.4    Use of the Number
1.1.5.     Numbering Systems
1.1.6.     Decimal Numbering System
1.1.7.     Difficulties and Errors
1.1.8.     Teaching Stages and Strategies
1.1.9.     Materials

1.2. Arithmetic of a Natural Number

1.2.1.     Additive Structure
1.2.2.     Difficulties and Errors in the Process and Learning of Additive Operations
1.2.3.     Structure of Multiplication and Division
1.2.4.     Difficulties and Errors in the Learning of Multiplicative Operations
1.2.5.     Properties
1.2.6.     Additive Problems
1.2.7.     Classification of Multiplicative Problems
1.2.8.     School Curriculum
1.2.9.     Mental Calculation Techniques

1.3. Teaching and Learning Rational Numbers

1.3.1.     Rational Number and the Curriculum
1.3.2.     Fractions
1.3.3.     Operations with Fractions 
1.3.4.     Equivalence
1.3.5    Fraction Comparisons
1.3.6.     Teaching
1.3.7.     Materials

1.4. Teaching and Learning Decimal Numbers

1.4.1.     Decimal Numbers in the Official Curriculum
1.4.2.     History of Decimal Notation
1.4.3.     Decimal Numbers
1.4.4.     Expanding the Numbering System 
1.4.5.     Operations with Decimal , Numbers 
1.4.6.     Decimal Approximation
1.4.7.     How Many Decimal Places Does a Fraction Have?
1.4.8.     The Introduction of Decimal Places from the Measurement

1.5. Measurement of Magnitudes and its Didactics

1.5.1.     Context and History
1.5.2    Magnitudes and Measurement Direct Measures 
1.5.3.     Objectives of the Teaching of Magnitudes and their Measurement in Elementary School Education
1.5.4.     Learning to Measure Quantities 
1.5.5.     Difficulties and Errors in the Learning of Magnitudes and their Measurement
1.5.6.     Unit of Measure
1.5.7.     Direct Measurement Measurement Procedures
1.5.8.     Indirect Measurement and Proportionality
1.5.9.     Arithmetic Proportionality

1.6. Geometry in the Plane

1.6.1.     Geometry in the Curriculum
1.6.2.     Beginning of Geometry
1.6.3.     Elements of Geometry
1.6.4.     Polygonal
1.6.5.     Polygons
1.6.6.     Triangles 
1.6.7.     Quadrilaterals
1.6.8.     Curvilinear Figures

1.7. Geometry in Space and Geometric Movements in the Plane

1.7.1.     Curricular Considerations
1.7.2.     Object Recognition Geometric Objects
1.7.3.     Angles in Space
1.7.4.     Polyhedra
1.7.5.     Round Bodies
1.7.6.     Isometries in the Curriculum
1.7.7.     What is Symmetry?
1.7.8.     Geometric Transformations

1.8. The contributions of Piaget and the Van Hiele couple to the field of geometry

1.8.1.     Piaget's Research on the Development of Geometrical Concepts
1.8.2.     The Van Hiele Couple
1.8.3.     Level 0 Recognition Display
1.8.4.     Level 1 Analysis
1.8.5.     Level 2 Informal Deduction
1.8.6.     Level 3 Formal Deduction
1.8.7.     Level 4 Rigor
1.8.8.     Duval's Cognitive Theory

1.9. Statistics and Probability

1.9.1.     Statistics and Probability in the School Curriculum
1.9.2.     Statistics and its Applications 
1.9.3.     Basic Concepts
1.9.4.     Tables and Graphs
1.9.5.     The Language of Probability Calculation
1.9.6.     Teaching Statistics and Probability
1.9.7.     Stages in Learning Statistics and Probability
1.9.8.     Errors and Difficulties in the Learning of Statistics and Probability

1.10 Learning Mathematics Through Games

1.10.1.     Introduction
1.10.2.     Game as a Resource for Learning
1.10.3.     Games as a Strategy for Logical-Mathematical Learning
1.10.4.     Importance of the Corners in Pre-school Education
1.10.5.     LEGO as a Resource
1.10.6.     Geometry and Fractions with LEGO Pieces
1.10.7.     EntusiasMat
1.10.8.     ABN

This academic itinerary is exclusive to TECH and you will be able to develop it at your own pace thanks to its 100% online Relearning methodology"