MTTC study materials
MTTC study resources

MTTC cheat sheet

MTTC · Keep the key ideas within reach.

Quick reference

Subject-Specific Content Knowledge

  • Phonological awareness is the broad umbrella skill (syllables, rhymes, onsets/rimes); phonemic awareness is the narrower ability to isolate and manipulate individual phonemes.

  • The five essential components of reading instruction identified by the National Reading Panel are phonemic awareness, phonics, fluency, vocabulary, and comprehension.

  • In base-ten place value, each position represents ten times the value of the position to its right, so the 4 in 400 is ten times the 4 in 40.

  • A fraction a/b denotes a parts of a whole partitioned into b equal parts; equivalent fractions name the same quantity and share a common value.

  • Common informational text structures are description, chronological sequence, compare-contrast, cause-effect, and problem-solution.

  • The writing process is recursive rather than linear: planning, drafting, revising, editing, and publishing, with returns to earlier stages as needed.

  • A controlled scientific investigation changes one independent variable, measures a dependent variable, and holds all other conditions constant.

  • Primary sources are original artifacts or raw data from the period studied; secondary sources interpret, summarize, or analyze primary sources.

  • Separation of powers assigns legislative, executive, and judicial functions to distinct branches, while checks and balances let each branch limit the others.

Quick reference

Pedagogical Content Knowledge

  • Pedagogical content knowledge (Shulman) combines subject mastery with knowledge of representations, examples, and the misconceptions typical of that content.

  • The concrete-representational-abstract sequence moves instruction from manipulatives to drawings to symbols, building meaning before procedural fluency.

  • A wait time of three to five seconds after a question, and after a student response, increases response length, participation, and reasoning quality.

  • Worked examples reduce cognitive load for novices; as expertise grows, examples are faded into independent problem solving.

  • Formative assessment occurs during instruction to shape teaching; summative assessment occurs after instruction to judge achievement.

  • Higher-order questions (analyze, evaluate, create) elicit reasoning and extended discourse; lower-order questions (recall, identify) check basic knowledge.

  • Representative misconception: students believe heavier objects fall faster; it is displaced by eliciting the prediction, testing it, and comparing results.

  • Academic language instruction targets content-specific vocabulary plus the discourse structures and syntax used to reason in the discipline.

  • Gradual release of responsibility sequences modeled instruction, guided practice, collaborative practice, and independent practice.

Quick reference

Professional Knowledge and Skills

  • IDEA entitles eligible students with disabilities to a free appropriate public education, an individualized education program, and the least restrictive environment.

  • Section 504 is a civil rights antidiscrimination law providing accommodations and equal access; it does not require specialized instruction.

  • English learners are typically identified first by a home language survey, then by a valid English proficiency screening or assessment.

  • FERPA gives parents and eligible students the right to inspect education records, request amendment, and limit disclosure without consent.

  • Teachers are mandated reporters: reasonable suspicion of child abuse or neglect must be reported to the designated agency.

  • Confidential student information may be shared only with school personnel who have a legitimate educational interest.

  • Teacher classroom speech is generally curriculum-related and school-regulated; academic freedom is narrower than free expression outside school.

  • Professional ethics require avoiding dual relationships with students and maintaining appropriate boundaries in and out of school.

  • Due process procedures govern dismissal and discipline of tenured teachers, including notice, a hearing, and the opportunity to respond.

Quick reference

Instructional Planning

  • Backward design (Wiggins and McTighe) proceeds in three stages: identify desired results, determine acceptable evidence, then plan learning experiences.

  • A complete objective names the audience, an observable behavior, the conditions of performance, and the criterion or degree of mastery.

  • Bloom's revised taxonomy orders cognition as remember, understand, apply, analyze, evaluate, create; objectives should be sequenced accordingly.

  • A lesson plan typically includes standards, objective, materials, anticipatory set, direct instruction, guided practice, independent practice, closure, and assessment.

  • Differentiation can modify content, process, product, and learning environment in response to readiness, interest, and learning profile.

  • Unit planning sequence skills from simpler to more complex and front-loads a check of prerequisite knowledge.

  • Instructional time should be allocated in proportion to the difficulty and importance of the objective, with planned transitions and checks for understanding.

  • Local objectives should be mapped explicitly to the adopted state or national standards before instruction is designed.

Quick reference

Assessment

  • Validity is the degree to which an assessment measures the intended construct and supports the intended score inferences; reliability is score consistency.

  • Norm-referenced scores compare a student to a norm group; criterion-referenced scores compare performance to a defined standard.

  • Formative assessment is assessment for learning (feedback, adjustment); summative assessment is assessment of learning (grading, accountability).

  • Item difficulty index p is the proportion of examinees answering correctly; values between roughly 0.30 and 0.80 usually maximize information.

  • The discrimination index is the proportion correct in the high-scoring group minus the proportion correct in the low-scoring group.

  • Analytic rubrics score traits separately; holistic rubrics assign one overall score to the whole performance.

  • Reliability evidence includes test-retest, parallel forms, internal consistency, and inter-rater agreement.

  • The standard error of measurement estimates the variability in observed scores from imperfect reliability and defines a confidence band around a score.

  • Accommodations change how a student accesses content; modifications change the content or the performance expectations themselves.

Quick reference

Reflection

  • Schön distinguishes reflection-in-action (adjusting while teaching) from reflection-on-action (reviewing after the lesson).

  • Gibbs's reflective cycle has six stages: description, feelings, evaluation, analysis, conclusion, and action plan.

  • Kolb's experiential learning cycle is concrete experience, reflective observation, abstract conceptualization, and active experimentation.

  • Action research is a repeating cycle of planning, acting, observing, and reflecting on one's own classroom practice.

  • Reflection data sources include student work, assessment results, lesson video, peer observation notes, and student feedback.

  • SMART goals are specific, measurable, achievable, relevant, and time-bound, and provide a criterion for judging progress.

  • Achievement data disaggregated by subgroup reveals equity gaps that whole-class averages can mask.

  • A teaching portfolio pairs artifacts with reflective commentary to document growth against professional standards.