See the connection
“Not yet. Let’s use a fact you know.”
For 6 + 7, build 6 + 6 = 12, add one, then ask the child to explain why the answer is 13. Return to it after other questions.
1. Lower the pressure to reveal the thinking
Begin with an untimed conversation or model. Ask the child how they worked it out. If they understand the idea but need longer to retrieve it, distinguish that from a conceptual misunderstanding.
Try it together
Offer “Would counters, a drawing, or a known fact help?” Allow thinking time before supplying a prompt.
2. Use feedback that gives a next step
Replace “try harder” with a specific strategy. After an error, show the relationship, practice it together, and give a fresh chance to retrieve it later. Avoid repeating the incorrect answer many times.
Try it together
Say “You made two groups of 4. We need three groups. Let’s add one more group and count the total.”
3. Make practice small and predictable
Use a manageable set of facts and an agreed stopping point. Revisit the set on later days rather than concentrating all practice into one long sitting. Adjust the amount to attention and accuracy.
Try it together
Let the learner choose counters or a number line for the first example. End by naming one relationship they understand better.
4. Use timing with care
Some fluency instruction includes brief timed activities after skills have been taught. A timer is not a measure of mathematical worth. If timing triggers distress or guessing, return to untimed instruction and discuss appropriate supports with the teacher.
Try it together
Track accurate answers and strategy use privately across sessions instead of comparing a child with classmates. Celebrate “You used a double to work that out.”
Try it: think, then check
Work it out before opening the answer. Use counters or a drawing if helpful. The explanation matters as much as the result.
A learner freezes when the timer starts. What is a useful next step?
Show answer & explanation
Remove the timer and invite a model or known-fact strategy.
An untimed attempt helps reveal understanding. Adjusting the format is more informative than repeatedly demanding a faster answer.
A simple routine to try
Adapt the amount and pace to the learner. This is a suggested routine, not a fixed prescription.
- Start with a comfortable fact and a clear stopping point.
- Teach or review one relationship together.
- Offer a few independent attempts with specific feedback.
- Finish with progress the learner can describe.
What to watch for
Do not equate slow recall with low ability or use practice as punishment. Persistent difficulties may need targeted assessment and support; a guide cannot diagnose a learning difficulty.
When to take the next step
Increase challenge when the learner remains accurate and engaged across sessions. If frustration persists despite adjusted instruction, collaborate with the teacher about patterns, access needs, and next steps.
Common questions
Should we avoid all timed practice?
Not necessarily. The IES intervention guide includes timed activities as one way to develop fluency after instruction. They are not a substitute for understanding, and the format should be adjusted when it creates distress or obscures what a child knows.
Research behind the guidance
These sources support the teaching principles. The examples and routines are FluentFacts’ practical applications, not individually tested interventions or a promise of outcomes.
Assisting Students Struggling with Mathematics: Intervention in the Elementary Grades (2021)
What Works Clearinghouse · Institute of Education SciencesSupports systematic instruction, mathematical language, representations, number lines, and carefully used fluency activities in elementary intervention.
Put it into practice: Teach one relationship explicitly, connect a model to its equation, and give specific feedback before asking for independent recall.
Organizing Instruction and Study to Improve Student Learning (2007)
Institute of Education SciencesRecommends spacing learning over time, connecting concrete and abstract representations, and using retrieval to strengthen learning.
Put it into practice: Revisit a small fact set across days. Ask the learner to produce an answer before checking, then correct mistakes with a useful strategy.
Strengthening the Student Toolbox (2013)
John Dunlosky · American EducatorReviews practice testing and distributed practice across learning contexts. It does not establish one ideal schedule for every child.
Put it into practice: Use short recall attempts with feedback rather than only rereading a fact list. Spread those attempts across sessions instead of one long sitting.
Adding It Up: Helping Children Learn Mathematics (2001)
National Research CouncilDescribes mathematical proficiency as interwoven strands, including conceptual understanding, procedural fluency, strategic competence, reasoning, and productive disposition.
Put it into practice: Look for accurate answers, flexible strategies, and an explanation of why the fact works. Record progress beyond speed alone.
Put the idea into practice.
Choose an operation and a suitable fact range in FluentFacts. Begin with facts the learner understands.
Choose your practice Or create a worksheet →