по Emma Coverdale 8 лет назад
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-Create a strong base for using operations throughout P/J grades( i.e introduction of dollars and cents)
-Ensure prior essential knowledge of operations is in place before introducing fractions
-Help students understand the difference between parts and wholes and to consider both the numerator and denominator when comparing fractions
-Help students connect to other number systems besides division
- Introduce pictures and notational representations at the same time
- Provide familiar representations to new fraction concepts
- Provide similar representation throughout multiple grade levels (number lines, volume)
- Avoid introducing circles in P/J grades
-Counting from 0-1, in each individual unit which helps students understand the relationship between parts and wholes
-Introduce mixed and proper fractions at the same time
-use precise language
When students using models it will help them test and develop predictions about the relationships within the fractions.
When using models the students have to make sure the whole remains unchanged. Which means the selection of model is important that the whole will not be spilt. Number lines are a good example to make sure that the whole is preserved.
Using models to compare fractions like a rectangle or a number line.
Allow students to use models to determine equivalent fractions.
Area Model: a shape that represents the whole. With the fractional regions being equal in area they may not all be congruent.
Set Model: A bunch of items that represents the whole amount. Subsets of the whole make up fractional parts.
Volume Model: when a three-dimensional figure represents the whole. This whole would be divided into fractional regions that are occupied by space within the figure.
Understanding fractions allows students to build a foundation to develop an understanding for more complex mathematical concepts (e.g., proportionality and ratio, linear relationships, trigonometry, and radial measure)
Understanding fractions supports individuals in everyday activities (e.g., cooking, carpentry, sewing, etc.)
Not understanding fractions can cause difficulties in adulthood (e.g., failure to understand medication regiments)
a three-dimensional figure represents the whole. The whole is divided into fractionalregions that are occupied by space within the figure.
a collection of items represents the whole amount. Subsets of the whole make up thefractional parts.
one shape represents the whole. The whole is divided into fractional regions.
To aid in leaning and understanding fractions there are many wide ranging resources listed by the ministry. These resources vary from research articles, webcasts, educational documents and digital games.
Instructing fractions in a punctuated fashion (chucked), allows students to better comprehend fractions as a unit. While also allowing teachers to be responsive to students when planning additional activities. Students are then able to connect their understanding of fractions to other math units and concepts.