DE2721156A1 - Lattice model of geometrical body as teaching aid - contains all lines for demonstration of related equations for surfaces and volumes - Google Patents

Lattice model of geometrical body as teaching aid - contains all lines for demonstration of related equations for surfaces and volumes

Info

Publication number
DE2721156A1
DE2721156A1 DE19772721156 DE2721156A DE2721156A1 DE 2721156 A1 DE2721156 A1 DE 2721156A1 DE 19772721156 DE19772721156 DE 19772721156 DE 2721156 A DE2721156 A DE 2721156A DE 2721156 A1 DE2721156 A1 DE 2721156A1
Authority
DE
Germany
Prior art keywords
lines
special
demonstration
volumes
teaching aid
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Pending
Application number
DE19772721156
Other languages
German (de)
Inventor
Karlheinz Gerhard Werne Keydel
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
KEYDEL KARLHEINZ GERHARD WERNER
Original Assignee
KEYDEL KARLHEINZ GERHARD WERNER
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by KEYDEL KARLHEINZ GERHARD WERNER filed Critical KEYDEL KARLHEINZ GERHARD WERNER
Priority to DE19772721156 priority Critical patent/DE2721156A1/en
Publication of DE2721156A1 publication Critical patent/DE2721156A1/en
Pending legal-status Critical Current

Links

Classifications

    • G—PHYSICS
    • G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
    • G09B—EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
    • G09B23/00—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes
    • G09B23/02—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for mathematics
    • G09B23/04—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for mathematics for geometry, trigonometry, projection or perspective

Landscapes

  • General Physics & Mathematics (AREA)
  • Physics & Mathematics (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Mathematical Physics (AREA)
  • Geometry (AREA)
  • Business, Economics & Management (AREA)
  • Algebra (AREA)
  • Educational Administration (AREA)
  • Educational Technology (AREA)
  • Theoretical Computer Science (AREA)
  • Instructional Devices (AREA)

Abstract

The model is formed of welded wires and partly of sheet metal strips and is 40 to 100 cm high. It contains all special lines, also in parallel shifted form, and auxiliary lines for recognition of the basic calculation equation and angular function required for the calculation of the surface and volume. In case of round bodies, such as cylinders, cones, truncated cones etc. the base, the top surface and half of the envelope are of tinned sheet metal. Certain lines of the model may be coloured.

Description

Beschreibung der ErfindungDescription of the invention

Titel: antenmodelle @eometrischer @örmer Anwendungsgebiet: Die Erfindung betrifft antenmodelle geometrischer @örper zum Zwec@ der besseren Veranschaulichung im Mathematikunterricht.Title: antenmodelle @eometric @ örmer Field of application: The invention concerns antenna models of geometric bodies for the purpose of better illustration in math class.

Stand der @echnik: @oweit bekannt gibt es Plastikmodelle geometrischer @örper in kleinerer Form, größere Modelle aus Schnüren und Metallstäben, die zerlegbar ind, unu zerlegbar Modelle dus Holzstäben.State of the technology: As far as is known, there are plastic models that are more geometric Body in smaller form, larger models made of cords and metal rods that can be dismantled ind, unu demountable models dus wooden sticks.

@riti@ des Standes der Technik: Die @örper sind größtenteils zu klein für eine Demonstration auf größere Entfernung. Die auf dem Markt befindlichen @Antenmodelle zeigen nicht oder nur ungenügend die besonderen Linien, die zur Berechnung notwendig sind.@ riti @ of the state of the art: The @ bodies are for the most part too small for a demonstration at a greater distance. The @Antenmodelle on the market do not show or only insufficiently show the special lines that are necessary for the calculation are.

Die Schnittmodelle zein immer nur eine Besonderheit und nicht den ganzen @öerper. The cutaway models are always just one special feature and not that one whole @ öerper.

Aufgabe: Der Erfindung liegt die Aufgabe zugrunde, den Schülern eine be-sere Vorstellung des geometrischen Sachverhalts in mathematischen Körpern zu vermitteln und dem Lehrer beim Einsatz solcher Modelle eine Erleichterung zu verschaffen.Task: The invention is based on the task of providing the students with a a better idea of the geometrical facts in mathematical solids and to make it easier for the teacher to use such models.

Lösung: Diese Aufgabe wird erfindungsmäßig dadurch gelöst, daß die Modelle eine Höhe zwischen 40 cm und 100 cm besitzen, daß sie alle besonderen Linien ( Höhen, Diagonalen usw. ) enthalten, die zur Berechnung von Oberfläche und Volumen der Körper erforderlich sind und daß sie aus Schweißdraht hergestellt und dadurch ( gemessen an ihrer Größe ) besonders leicht sind.Solution: This object is achieved according to the invention in that the Models have a height between 40 cm and 100 cm that they all have special lines (Heights, diagonals, etc.) that are used to calculate surface area and volume the body are required and that they are made from welding wire and thereby (measured by their size) are particularly light.

@i@@@@@@usge taltung der Erfin@ung: Die @estlich@eit der @erstellung des @eo@etrisenen Sachverhalts in diesen K@r@ern wird verstar@t durch die unterschiedliche Farbgebung ( vorwiegend mit Signalferben ) der besonderen Linien in diesen Figuren.@i @@@@@@ usge the invention: The @ estlich @ eit of the @ creation The @ eo @ etrisenen facts in these K @ r @ ern are reinforced by the different Coloring (mainly with signal colors) of the special lines in these figures.

@rzielbare Vorteile: Die mit der Erfindung orzielten Vorteile bestehen insbesondere darin, daß durch die besondere Größe und @arbgebung auch die Sch@ler, die vom unterrichte@den Lehrer weiter entfernt sitzen, den geometrischen Sachverhalt e@@ennen können, daß die Schüler die Lage der besonderen Linien besser im Zusammenhang mit dem gesamten Korper sehen und die Berechnungsmöglichkeiten durchschauen können und daß die Körper durch ihr geringes Gewicht für den Lehrer leicht zu transportieren und sofort einsetzbereit sind.Achievable advantages: The advantages aimed at with the invention exist especially in the fact that, due to the special size and color, the pupils, who sit further away from the lesson @ the teacher, the geometrical facts e @@ ennen that the students can better relate the location of the particular lines be able to see through the entire body and see through the calculation options and that the bodies are easy for the teacher to transport because of their low weight and are immediately ready for use.

L e e r s e i t eL e r s e i t e

Claims (1)

Patentansprüche Oberbegrif@: 1. antenmodelle geometrischer @örper aus verschweißten Schweißdrehtstücken ( und zum Teil @eißblechst@c@en ) in einer Höhe zwischen 40 cm und 100 cm.Claims preamble: 1. Antenna models of geometric bodies made of welded welded turned pieces (and partly @ eißblechst @ c @ en) in one Height between 40 cm and 100 cm. ennzeichnender @eil: dadurch gekennzeichnet, daß die antenmodelle auch die besonderen linien ( auch in parallelverschobener Form ) und Hilfslinien zum Erkennen der Berechnungsgrundlagen ( ehrsatz der Pythagoras, @trahlensätze, Win@elfun@tionen ) zur Berechnung von Oberfläche und Volumen enthalten. ennzeichnender @eil: characterized in that the antenna models also the special lines (also in parallel shifted form) and auxiliary lines to recognize the basis of calculation (sentence of Pythagoras, @ ray sentences, Win @ elfun @ tionen) for calculating surface and volume. Besonderheit bei den runden Körpern ( Zylinder, Kegel, Kegelstumpf ) ist, daß Grund-und - soweit vorhanden - Deckfläche und der halbe Mentel in Weißblech ausgebildet sind. Special feature of the round bodies (cylinder, cone, truncated cone ) is that the base and - if available - the top surface and half the mentel in tinplate are trained. Oberbegriff des Unteranspruchs: 2. @antenmodelle nach Anspruch 1 @ennzeichnender Teil @es Unteranspruchs: dadurch gekennzeichnet, daß die besonderen Linien durch unterschiedliche Farbgebung ( vorwiegend in Signalfarben ) besonders hervorgehoben sind.Preamble of the dependent claim: 2. @antenmodelle according to claim 1 @characterizing Part @es subclaim: characterized in that the special lines through different colors (mainly in signal colors) highlighted are.
DE19772721156 1977-05-11 1977-05-11 Lattice model of geometrical body as teaching aid - contains all lines for demonstration of related equations for surfaces and volumes Pending DE2721156A1 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
DE19772721156 DE2721156A1 (en) 1977-05-11 1977-05-11 Lattice model of geometrical body as teaching aid - contains all lines for demonstration of related equations for surfaces and volumes

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
DE19772721156 DE2721156A1 (en) 1977-05-11 1977-05-11 Lattice model of geometrical body as teaching aid - contains all lines for demonstration of related equations for surfaces and volumes

Publications (1)

Publication Number Publication Date
DE2721156A1 true DE2721156A1 (en) 1978-11-16

Family

ID=6008602

Family Applications (1)

Application Number Title Priority Date Filing Date
DE19772721156 Pending DE2721156A1 (en) 1977-05-11 1977-05-11 Lattice model of geometrical body as teaching aid - contains all lines for demonstration of related equations for surfaces and volumes

Country Status (1)

Country Link
DE (1) DE2721156A1 (en)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111179699A (en) * 2020-01-08 2020-05-19 赵小刚 Cutting and splicing method of cube

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111179699A (en) * 2020-01-08 2020-05-19 赵小刚 Cutting and splicing method of cube

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