Lenny.com

Math Quest Arcade • Sequence • Lenny.com

Observed Misconception	Underlying Reason	Teacher Coaching Move
Re-counting all dots from 1 on every roll	Has not anchored cardinal quantity or mental doubles	Cover the larger die with your hand: "Say that number, then count on."
Confusing 6 + 7 with 6 + 6 + 2	Near-doubles over-generalization	Ask: "How much bigger is 7 than 6? Just 1! So add 1 to your double."
Struggling with Subtraction Power Cards (10 - X)	Viewing subtraction only as 'take away' rather than distance/friend	Use the Ten-Friend Magnet: "What friend pairs with this roll to make 10?"

Misconception	Why It Happens	Strategic Coaching Move
Adds 14 and 8 in Quest 3 ("22 burgers")	Defaulting to addition whenever both numbers are seen	Ask: "Did Pip make more than 14? Can Pip make fewer by adding?"
Writes 7 + 16 = 23 in Quest 4	Treats 16 as a part instead of the total basket count	Draw a basket: "16 is the whole roof. 7 is in one room. What's in the other?"
Stops after Step 1 in Quest 5	Cognitive load from multi-step narratives	Reread the final sentence: "Did we answer how many fish are left in the tank?"

Criteria	Proficient (3)	Advanced Mastery (4)	Developing (2)
Mental Math Fluency	Solves facts within 12 within 5 seconds using strategies.	Instantly applies doubles/ten-friends to facts within 20; justifies logic.	Relies on counting all or one-by-one finger counting.
Story Representation	Accurately draws part-whole models or equations for 1-step problems.	Effortlessly diagrams 2-step stories, comparison bars, and missing addends.	Confuses the whole with a part when framing equations.
Cooperative Discourse	Listens to partner and confirms calculations before writing.	Articulates alternative mental strategies to help partner understand.	Rushes ahead without verifying with partner.