Meaning of Operations
Q2: Is the learner missing grade-level understanding of operations?
Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.
Represent and solve problems involving addition and subtraction.
Understand and apply properties of operations and the relationship between addition and subtraction.
Represent and solve problems involving addition and subtraction.
Work with equal groups of objects to gain foundations for multiplication.
Represent and solve problems involving multiplication and division.
Understand properties of multiplication and the relationship between multiplication and division.
Use the four operations with whole numbers to solve problems.
K.OA.A.1, K.OA.A.2, K.OA.A.3, K.OA.A.4, K.OA.A.5
1.OA.A.1, 1.OA.A.2
1.OA.B.3, 1.OA.B.4
2.OA.A.1
2.OA.C.3, 2.OA.C.4
3.OA.A.1, 3.OA.A.2, 3.OA.A.3
3.OA.B.5, 3.OA.B.6
4.OA.A.1, 4.OA.A.2
Diagnose
Contextual problems are word problems.
Evidence indicating needed support in this area might be classroom assessments, observations and other local data sources. When choosing items for assessment, teams should consider differences in word problems, in terms of problem type, language complexity and number choice.
More information here: Diagnose: Meaning of Operations
Intervene
Students grow in important mathematics by considering quantities in familiar contexts: word problems.
Mathematics interventions should be carefully chosen and should include the following (NCII):
explicit instruction
connections between multiple representations
use of concise, accurate language
fluency building component
problem-solving instruction
motivational component
More information here: Intervene: Meaning of Operations
Progress Monitor
Progress monitoring might include both a a general outcome measure (curriculum-based measure) and a mastery measure (curriculum-embedded measure).
Use a valid and reliable progress monitoring measure. This training is recommended: Best Practices in Math Progress Monitoring.
More information here: Progress Monitor: Meaning of Operations
Problem Types Charts
