Mixing topics instead of blocking them
Mix questions from familiar topics so you practise choosing a method for each one. Apply the method, then check both your choice and your answer.
What a learner can do afterwards
- Build a mixed practice set from three familiar topics and identify each question's skill after attempting it
- Explain why repeated question types may feel easier and why that feeling alone does not establish later learning
- Explain how an unlabelled mixed set asks for method selection as well as method use
1 · Read
Blocked practice groups questions of one kind. Mixed practice places different question kinds among one another. Both involve using methods. Mixing question kinds is different from interrupting study to check messages. Stay with the study task while changing the kinds of questions you attempt.
A repeated question kind can suggest the next method, which may make blocked practice feel easier. In an unlabelled mixed set, read each question and choose a method before applying it. Some assessments mix methods; others group questions. Mixed practice gives you opportunities to select methods and use them.
To build a small set, choose three familiar topics and take two questions from each. Mix their order instead of keeping each topic in its own block. Keep topic tags and checked solutions separate during attempts. Afterwards, identify the skill each question tested. Two questions per topic is an example, not a required amount.
Before applying a method, record your choice and a clue from the question that supports it. After answering, check the choice and the working against a checked solution. A suitable method can contain a calculation error. A different method from the solution may also work; ask for help if you cannot tell.
You have planned practice with gaps between sessions. Fit short mixed sets into those usable times and adjust their length or topic balance after checking. A full paper every week is not a rule for every learner. If an unfamiliar method stops you from starting, use instruction, a worked example and guided practice before expecting independent use.
If a blocked set felt easy and a mixed set felt difficult, those feelings alone do not tell us which led to more lasting learning. Difficulty could come from choosing a method, unfamiliar content or another obstacle. Check the work now and attempt a later set without method labels to find out what you can do then.
After attempting a question, identify its skill from what it asks you to do, not its place in the set. Addition combines amounts. Subtraction finds what remains or the difference. Multiplication totals equal groups. For example, '6 + 3' checks addition, '11 - 4' checks subtraction, and '2 groups of 5' checks multiplication. Their answers are 9, 7 and 10.
Mix familiar question kinds, choose and apply a method, then check both. Ease or difficulty alone does not establish later learning.
Original lesson, questions, worked solutions and flashcards written for this dataset.
Original readings and flashcards written for this dataset.
More to read
What question order changes
On a blocked sheet, several questions of one kind appear together. On a mixed sheet, different kinds appear among one another. Either sheet still requires you to use methods.
A run of similar questions can suggest which method comes next. In an unlabelled mixed set, use the current question's clues to choose. The choice needs checking, as does the working that follows it.
This distinction describes the practice task. It does not establish that every mixed sheet produces better results, or that all exams use mixed questions.
Keep the checking information separate
Prepare questions from familiar topics and keep a separate list of their topics and checked solutions. Arrange the questions so that each topic does not stay in its own block.
A tag such as the name of a method can give away the choice you wanted to practise. Keep those tags separate while attempting the questions. Afterwards, reveal the checking information and identify what each question tested.
The number from each topic can change. For example, checked work may show that you need more practice on one topic. Keep the question set small enough to complete and review in your available session.
Separate a choice error from a working error
Record your chosen method and the clue that led to it before doing the working. After answering, compare your choice with a checked solution and inspect how you used the method.
A suitable choice can still be followed by a calculation error. A different method from the printed solution can also be valid. If you cannot judge the method, ask someone who can check the reasoning.
A total score does not show these distinctions. Reviewing the choice and the working gives you information about what to practise or ask about next. Writing a log by itself does not guarantee improvement.
Decide what a difficult set needs
Inspect a difficult set before changing the whole plan. Did you select an unsuitable method, make an error while using a suitable one, or meet a method you had not learned? These call for different follow-up work.
Use instruction and guided practice for unfamiliar methods. Fit later mixed sets into usable spaced sessions, adjusting their length and topic balance after checking.
An easy session does not prove lasting learning, and neither does a difficult one. Attempt a later set without method labels to examine what you can do then. There is no need to impose a weekly full-paper rule on every learner.
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Where it sits
Learn first
Optional connections
Where this leads
8 questions wait behind this lesson, each with its answer explained. Every answer feeds the sky: stars light as they are learned, and dim when it is time to come back.