Theme of the series: "We work with the geoboard."- An action-oriented approach to the geoboard by collecting a variety of experiences on plane figures, their properties and the congruence of surfaces to promote spatial orientation skills and the further development of visual perception skills.
Theme of the unit: "We discover different triangles on the geoboard" - An active-discovering examination of the flat form "triangle" through an exploratory approach to the 3x3 geoboard, in which the children stretch as many different triangles as possible and compare them with each other, with the aim of gathering further experiences on the congruence of surfaces, as well as promoting spatial orientation skills and the further development of visual perception skills.
Table of Contents
1. Theme of the series
2. Theme of unity:
3. Structure of the series
4. Core concerns of the unit
4.1 Central work order
4.2 Reflection mandate or guiding impulse for the reflection phase
5. Justification of the core concern from a didactic and methodological point of view
5.1 Didactic analysis
5.2 Curriculum
5.3 Learning requirements of the pupils
5.4 Didactic reduction
5.5 Methodical analysis
5.6 Sub-objectives of the core concern
6. Course planning of the unit
Objectives and Topics
The primary objective of this teaching unit is to foster the students' understanding of geometric congruence and spatial orientation through an action-oriented approach using the geoboard. By engaging in discovery-based learning, students investigate various triangles, compare their properties, and justify their findings, thereby deepening their geometric conceptualization and visual perception.
- Action-oriented geometry lessons using the 3x3 geoboard.
- Development of spatial imagination and visual perceptual ability.
- Exploration of congruence and geometric properties of triangles.
- Encouraging independent discovery and mathematical argumentation.
- Integration of partner work to promote communication and social competence.
Excerpt from the Book
5.1 Didactic analysis
According to Radatz & Rickmeyer, acting (learning) and discovering learning is one of the principles for the design of geometry lessons in primary school. In this lesson, the children should use the geoboard to Perceptual, imagining and Representational ability enlarge, so that they are given action experiences and practical activities, such as stretching here, by finding and discovering different triangles. For "thinking in the sense of Piaget is understood as internalized action (...), then the importance of concrete action with geometric elements becomes clear, especially in pre-school and primary school age". An internalization of geometric terms can only be done at primary school age via Action experiences and on the handling of concrete material.
The geoboard can meet these requirements. In dealing with the form-spanning game in the introduction, the tensioning of geometric figures (here: triangle), as well as the understanding of the congruence, the students develop and train their visual perceptual ability. In dealing with the geoboard, the children deepen and expand their form studies; the development of the term "congruence" is supported, since all triangles can be checked for congruence. By trying, testing and replicaning triangles are created and found, so in this unit is also the inductive approach to be found.
Summary of Chapters
1. Theme of the series: Introduces an action-oriented approach to the geoboard to promote spatial orientation and visual perception through the study of flat figures.
2. Theme of unity: Focuses on the active discovery of triangles on a 3x3 geoboard to collect experiences regarding surface congruence.
3. Structure of the series: Outlines the seven-unit lesson series, moving from basic experimentation to abstract symbolic thinking and coordinate usage.
4. Core concerns of the unit: Defines the specific goal of initiating basic knowledge about congruence through the systematic stretching and comparison of triangles.
5. Justification of the core concern from a didactic and methodological point of view: Provides the academic foundation for the lesson, referencing Piaget and constructivist learning theories, and addresses individual student requirements.
6. Course planning of the unit: Details the chronological progression of the lesson, including specific action steps and methodical commentary for the teacher.
Keywords
Geoboard, Geometry, Primary School, Congruence, Triangles, Spatial Orientation, Visual Perception, Didactic Analysis, Action-Oriented Learning, Mathematical Communication, Constructivism, Partner Work, Lesson Planning, Surface Congruence, Skill Development
Frequently Asked Questions
What is the core focus of this teaching unit?
The unit focuses on geometry in primary school, specifically teaching students to identify and understand the congruence of triangles using a 3x3 geoboard.
What are the central thematic fields covered?
The key themes include space and form, the development of spatial imagination, geometric properties of triangles, and the transition from enactive to iconic levels of representation.
What is the primary objective of this lesson?
The main goal is for students to discover that geometric figures can remain congruent even when stretched in different positions on the geoboard, fostering a deeper understanding of geometric equality.
Which teaching methodology is employed?
The unit utilizes an action-oriented and discovery-based learning approach, emphasizing "learning by doing" through the physical manipulation of concrete materials.
What does the main body of the work address?
The main body covers the didactic and methodological justification of the lesson, curriculum alignment, student-specific learning requirements, and a detailed phase-by-phase course plan.
Which keywords characterize this work?
Important keywords include Geoboard, Geometry, Congruence, Spatial Orientation, Primary School, and Action-Oriented Learning.
How is the geoboard adapted for this specific level?
The author uses a 3x3 geoboard, which is considered the most practicable tool for primary school geometry to keep the variety of possible solutions manageable for young learners.
Why is partner work used as the central social form?
Partner work is chosen to foster geometric communication, social competence, and to allow students with different abilities to support one another in fine motor and spatial tasks.
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- Stefanie Hiller (Autor:in), 2009, Working with the geoboard. An action-oriented approach to the geoboard in elemantary school (2nd grade), München, GRIN Verlag, https://www.grin.com/document/1190747
