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EquivSymbolic marking method for maths cloze
EquivSymbolic marking method for maths cloze

An explanation and examples of the EquivSymbolic marking method for math formula cloze tasks

Caitlin Foran avatar
Written by Caitlin Foran
Updated over a week ago

The equivSymbolic method checks that the value entered by a learner is mathematically equivalent to the Value the Author has set under Correct, even if they are in different forms.

Use equivSymbolic when using calculations or variables, where order or form is not important. equivSymbolic accepts decimals, fractions, variables, and percentages.

Examples

Example 1 - Basic equivSymbolic

In this example, we have set the value 100 and chosen to Allow decimal marks (for a decimal point and thousands separator) to allow for things like 2,000 to be marked as correct.

Screenshot showing example of setting equivSymbolic response

In the image below, you can see how different learner answers would be marked.

Screenshot showing the learner submitted 2 out 3 correct answers based upon the above example of equivSymbolic response

Example 2 - Variables

equivSymbolic can also be used with variables.

You can see in the example learner answers below that different forms of the correct answer are marked correct, as long as they equate to what you have set in Value. For each response in the example below the value was set to the same thing.

Screenshot showing the value and Aria label for it
Screenshot showing the learner submitted 2 out 3 correct answers

Example 3 - Decimal rounding

Authors can specify a number of significant decimal places. In this example, Significant decimal places is set to 2. This way, learners will not need to enter all the digits after the decimal point for the response to be marked as correct.

Screenshot showing the Decimal rounding check box to allow learners to avoid entering all digits after decimal

In the example learner answers below you can see that many forms of representing a third were marked as correct. However, the answer that only specified to 1 decimal place (0.3) was marked as incorrect.

Screenshot showing the learner submitted 3 out 4 correct answers based upon the 2 decimal rounding

Example 4 - Excluding possible correct responses

equivSymbolic is a very flexible method and is often used in conjunction with other methods. In some cases learners might need to give a response other than the one already specified in the question. Authors can set such exceptions by combining equivSymbolic and equivLiteral, then selecting Inverse result underneath equivLiteral. Now, any symbolically equivalent equation will be correct except for the value the author has set.

Screenshot showing example of setting equivSymbolic response along with equivLiteral

In the example below you can see that x² - 4 has been marked as incorrect.

Screenshot showing learner's response with 2 out of 3 correct answers

Additional options for the equivSymbolic marking method

Significant decimal places

This option specifies the number of significant decimal places. The maximum value is 10.

Allow interval

This option must be enabled when the students are expected to insert interval notation in the response area, ie ‘[1, 4)’. Otherwise, the response will not validate correctly.

Ignore text

This refers to LaTeX text only, and when enabled will ignore any LaTeX text the student enters in the response area.

Compare sides

Used when comparing two constant equations, when both sides of an equation have not been fully specified, such as {{response}} + {{response}} = {{response}}. By default, expressions such as this will validate as isTrue. This means that as long as the expression is mathematically correct it will be correct, even if the value(s) entered is different to that specified in the validation area. However, enabling Compare Sides ensures that the response given is symbolically equal to the equation set in the validation area.

Treat 'e' as Euler's number

This option treats the variable 'e' as Euler's number. This overrides the default interpretation of 'e' as scientific notation.

Allow decimal marks

Authors can specify what separators learners can use. From the Thousand Separator drop-down menu, you can select dot, comma, and/or space. The Decimal Separator menu contains the option for either a dot or a comma.

Note: Allow decimal marks has to be selected for these options to show and that the specified thousand separators and decimal separator cannot be the same, e.g. both dot.

Screenshot showing option to set Decimal and Thousand separator for learner's response

Treat all letters as variables

When this is enabled, the math engine will treat all letters as variables. This is useful in cases where you want to use letters as variables that the math engine may normally recognise as units of measurement.

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