LOSSTT-IN-MATH Project Home Page

Home/Language
English Czech Danish French Italian Slovak


Socrates-Comenius





Project Details

Name
LOSSTT-IN-MATH

Code
112318-CP-1-2003-1 -IT-COMENIUS-C21

Action/Type
COMENIUS-C21

Project span
01.10.2003
01.10.2006



Project Coordinator

Name
CAFRE Centro di Ateneo di Formazione e Ricerca Educativa
Università di Pisa

Contact person
Prof. Franco FAVILLI

Email
favilli@dm.unipi.it



Project Partners
(CZ) Univerzita Karlova v Praze

(DK) Skårup Seminarium

(FR) Institut Universitaire de Formation des Maîtres de Créteil

(IT) Università degli Studi di Firenze

(IT) Università degli Studi di Siena

(SK) Univerzita Mateja Bela



  
National Standards
 Printer Friendly Printer Friendly

Danish Lower Secondary School Mathematics Standards



Numbers and algebra

Knowledge     

Abilities

Rational numbers and the expansion to real numbers

Working investigating, especially with systematic counting and with the numbers mutual size as a part of forming a general understanding of numbers

Cultural-historical meaning of numbers as a means of description.

Using mental arithmetic and estimate

 

Using pocket calculator and computer in problem solving

 

Understand and using formulas for example in calculation of interest and volume

 

Understand and using expressions containing variables

Percent

Using percent

 

Calculating with fractions including solving of equalities and algebraic problems.

 

Investigate and describe "changes"  and structures for example in series of numbers, series of figures, and patterns

Conception of functions

Using graphical methods in solving equalities and systems of  equalities

 

Solving simple equalities and solving inequalities by inspection.

 

Geometry

Knowledge

Abilities

Properties of different geometric figures

Using the properties of different  geometric figures

 

Drawing pictures after given preconditions

 

Using basic geometric conceptions including ratio of size and the mutual position of  lines

 

Understand and produce:

  • Workshop drawings
  • Isometric drawings
  • Perspective drawings

In description of the surroundings

Investigate, describe and estimate connections between a drawing and the object drew

The conception of measurement

Using the conception of measurement, including measuring and calculation of circumference, surface and volume

Scale, similarity and congruence

Using scale, similarity and congruence

 

Execute simple geometric calculations for example using Pythagoras` theorem

 

Working with simple geometric proofs

 

Using computers in drawing, investigations and calculations concerning geometric figures

 

Applied mathematics

Knowledge

Abilities

 

Choose arithmetical operations

Use percent

Calculate with proportion in various connections

 

Handle examples of problems in societal development with respect to:

Economy, technology and environment

 

Make economic considerations regarding daily purchase, transport, housing conditions, salary and calculation of tax

 

Working with interest and making calculation of interest especially regarding saving up, borrowing, buying on credit

 

Work with and investigate formulas and functions entering mathematic models

Possibilities and limitations in using mathematics as a description and a basis for decisions

Working with statistical description of a collection of data, with the emphasis on method and interpretation

 

Execute simulations for example by the computer

Statistical probability

Using computers for calculations, simulations, investigations and descriptions included societal conditions

 

Using mathematics as a tool in solving practical and theoretical problems in a comprehensive way

 

Communication and problem solving

Knowledge

Abilities

 

Understand and take a position on information's, with mathematic expressions

 

Formulate problems, describe procedure and give solutions in a understandable manner, both in writing and oral

 

Using experimenting and investigating in working and formulating results of the professional knowledge, which is obtained

 

Choose  suitable professional methods, working and tool by solution of transverse problems

 

Cooperation with others in mathematic problem solving

 

Using systematizing and mathematic argumentation

 

Using variables and symbols, when rules and connections are going to be proofed

 

Using geometric drawings in formulating hypotheses and argumentation

 

Understand that choosing a specific mathematic model can mirror a specific norm of value

 

Alternate between practical and theoretical considerations in solutions of mathematic problems

 


Denmark's Input Situation
summary of mathematics taught at the primary level

Numbers and algebra

Knowledge

Abilities

Whole numbers

Decimal numbers

Fractions

 

 

Using experiences from everyday life in connection with working with numbers in school

System of numbers

Number line

Position systems

The four basic arithmetical operations

Use mental arithmetic and estimate

 

Using pocket calculator and computer in problem solving

 

Working with counting's and examples on connections and rules for the four basic arithmetical operations

Examples of how to use variables,  including formulas, simple equalities and functions

 

Percent and the use of percent in everyday life

Calculation with decimal numbers and using fractions linked to percent and concrete connections

Coordinate system including the connection between number and drawing

Working with "changes"   and structures for example in series of numbers, series of figures, and patterns

 

Geometry

Knowledge

Abilities

 

Using geometry in the description of object from everyday life including figures and patterns

 

Investigate and describe simple figures in plane

Basic geometric conceptions like angles and parallelism

 

 

Working with real models and simple drawing of these

The method of different cultures to give depth in a picture

Investigate the application of drawing methods

 

Measure and calculate perimeter, area and volume in concrete situations

 

Draw, investigate and  do experimentation in relation to geometric figures, including using computers

 

Applied mathematics

Knowledge

Abilities

 

Choose and use arithmetical operations

in various connections

 

Using professional tools included numbers, graphical representation and statistics in the solution of mathematical problems concerning everyday life, family life and the nearest societal

 

Working with simple percent calculations including discount price

 

Describe and interpret data in tables and diagrams

 

Collect and treat data and make simulations for example with a computer

 

Experimentation with chance

 

Communication and problem solving

Knowledge

Abilities

 Working with experiment and investigation

Make hypotheses and using " try and error" in constructing professional concepts

 

Formulate, solve and describe problems and in this connection choose different methods

 

Cooperate with others in applying mathematics in problem solving

 

In relation to mathematics investigate, systematize, and argue using concrete materials

 

Franco Favilli and Giuseppe Fiorentino, eds.

Copyright © by LOSSTT-IN-MATH Project - All Right Reserved.

This project has been carried out with the support of the European Commission within the framework of the Socrates Programme - Comenius 2.1 Action.
Information expressed in the website reflects the views only of the LOSSTT-IN-MATH project partnership.
The European Commission cannot be responsible for any use which may be made of the information.