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PRAXISCode: 5037📐 Advanced Preparation ExamTeacher + Instructional LeaderAMTE 2013 + NCTM/CAEP Advanced

Praxis® Elementary Education:
Math Specialist (5037)
Practice Test & Study Guide

Comprehensive preparation for elementary math specialists — both teachers and instructional leaders. 75 questions, 2 hours, covering Specialized Mathematics Knowledge for Teaching (65%) and Pedagogical Knowledge and Instructional Leadership (35%). At least 80% of questions require application of mathematics content. Aligned to AMTE 2013 and NCTM/CAEP Advanced Preparation standards.

60
Questions
2 hrs
Time limit
Varies
Passing score*
2
Categories
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This is an advanced-level exam for math specialists — teachers with a master's degree or equivalent in mathematics education who also serve as instructional leaders. Per ETS: “The math specialist is both a teacher and an instructional leader who uses a strong understanding of mathematics and mathematics instruction to support student learning, including through curriculum design and coaching to support the work and the learning of other teachers.” Test takers typically have experience teaching elementary mathematics and advanced preparation (master's degree or comparable coursework). This is substantially different from standard elementary certification exams — it requires deep mathematical understanding, expertise in mathematics pedagogy, and instructional leadership skills including mentoring, coaching, and professional development.

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An on-screen four-function calculator is provided — but at least 80% of questions require applied mathematics reasoning, not computation. The calculator is available throughout the 2-hour exam. However, since the vast majority of questions assess how a math specialist applies content knowledge to teaching tasks (evaluating student work, selecting representations, identifying misconceptions, sequencing learning trajectories), the calculator is only useful for the minority of questions requiring numerical precision. Deep conceptual understanding of elementary mathematics — far beyond what a calculator can assist — is what the exam primarily tests.

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Source: All exam details are drawn from the official ETS Praxis Elementary Education: Math Specialist (5037) Study Companion. The test is aligned with AMTE Standards for Elementary Mathematics Specialists (2013) and NCTM CAEP Standards (2012) for Elementary Mathematics Specialist Advanced Preparation. Passing scores vary by state — always confirm at ets.org/praxis/states.

Elementary Education: Math Specialist (5037) — Test at a Glance

Key facts directly from the official ETS Study Companion.

Test code
5037
Computer-delivered
Total questions
75
SR + numeric-entry
Time limit
2 hrs
120 minutes
Category I
Specialized Math KfT
65% · 49 questions
Category II
Pedagogical Leadership
35% · 26 questions
Largest math domain
Numbers & Operations
60% of math content
Calculator
Four-function (on-screen)
Provided throughout
Applied math content
≥80%
Of all questions

About the Praxis Elementary Education: Math Specialist (5037)

Who this exam is for, what it assesses, and how it differs from standard elementary math certification tests.

The Praxis Elementary Education: Math Specialist test is designed to measure knowledge and competencies that are important for safe and effective beginning practice as an elementary math specialist. The math specialist is both a teacher and an instructional leader — using a strong understanding of mathematics and mathematics instruction to support student learning through curriculum design and coaching other teachers.

Test takers typically have experience teaching elementary mathematics and have completed advanced preparation — a master's degree or comparable coursework — in mathematics education. This is not a general elementary certification exam; it is an advanced specialist credential requiring mathematical depth far beyond what standard certification tests assess.

At least 80% of all questions call for application of mathematics content knowledge — testing whether candidates can apply what they know to specific teaching tasks. The assessment covers two categories: Specialized Mathematics Knowledge for Teaching (49 questions, 65%) and Pedagogical Knowledge and Instructional Leadership (26 questions, 35%).

The test is aligned with the AMTE Standards for Elementary Mathematics Specialists (2013) and the NCTM CAEP Standards (2012) for Elementary Mathematics Specialist Advanced Preparation. Some questions may not count toward the score.

Two Content Categories at a Glance

Specialized Mathematics Knowledge for Teaching is 65% of the exam. Pedagogical Knowledge and Instructional Leadership is 35%. At least 80% of questions across both categories require mathematics content application.

Category I — 65%

Specialized Mathematics Knowledge for Teaching

49 questions · Teacher and Instructional Role · All 4 math domains
Questions49 selected-response + numeric-entry
Three focus areasInstruction · Student Reasoning · Mathematical Practices
Sub-area A: InstructionEvaluating explanations, problems, representations
Sub-area B: Student ReasoningMisconceptions, student work, replication of errors
Sub-area C: Math PracticesAll 8 Standards for Mathematical Practice (SMP)
Category II — 35%

Pedagogical Knowledge and Instructional Leadership

26 questions · Leadership Role
Questions26 selected-response
Sub-area APedagogical Knowledge for Teaching Math
Sub-area BInstructional Leadership (coaching, PD, RTI)
Special focusEquitable and inclusive math learning

Mathematics Content — Four Domains Across All Questions

The math content spans four domains. These percentages reflect the proportion of questions (across both Categories I and II) that assess each domain. Numbers and Operations dominates at 60%.

60%
of math content questions
Numbers and Operations
15%
of math content questions
Equations and Expressions
15%
of math content questions
Measurement and Geometry
10%
of math content questions
Statistics and Probability
Important distinction: These domain percentages represent the approximate proportion of mathematics content questions in each domain — not the total percentage of the exam. Since ≥80% of all 75 questions assess mathematics content, and since at least some math content appears in Category II as well, approximately 45+ questions across the entire exam will involve Numbers and Operations content alone.

Official Exam Blueprint: 2 Content Categories

All content categories and sub-areas confirmed from the official ETS 5037 Study Companion.

Category I — 65% · 49 Questions
Specialized Mathematics Knowledge for Teaching
A. Instruction (evaluating, selecting, creating teaching materials): evaluating explanations, justifications, and definitions — identifying valid mathematical explanations; evaluating for validity, generalizability, coherence, and precision; identifying flaws and improvements; evaluating mathematical language. Evaluating problems, tasks, questions, examples, and procedures — identifying problems that fit particular structures, address specific concepts, or elicit particular student thinking; identifying parallel problems that vary systematically in complexity; sequencing problems based on learning trajectories and standards progressions; identifying nonexamples and counterexamples; evaluating procedures for validity, appropriateness, and special cases. Evaluating representations and tools — evaluating all five representation types (verbal, visual, physical, contextual, symbolic) for validity, generalizability, and fit; evaluating how representations show ideas, relationships, and strategies; evaluating technologies (virtual manipulatives, interactives, software) for appropriateness in different settings.

B. Student Reasoning (analyzing and responding to student thinking): identifying likely misconceptions about mathematics content; identifying how new content builds on prior knowledge; evaluating or comparing student work (solutions, conjectures, explanations, justifications, generalizations, representations) for validity, generalizability, coherence, and precision; purposefully sequencing student work for class discussion; evaluating whether a counterargument accurately critiques a student conjecture; identifying how a student's reasoning would replicate across similar problems; identifying different student work samples demonstrating the same underlying reasoning.

C. Engagement in Mathematical Practices (all 8 CCSS-M Standards for Mathematical Practice): identifying ways to support learners in making sense of problems and persevering; reasoning abstractly and quantitatively; constructing viable arguments and critiquing the reasoning of others; modeling with mathematics; using appropriate tools strategically; attending to precision; looking for and making use of structure; looking for and expressing regularity in repeated reasoning.
65%
49 questions
Category II — 35% · 26 Questions
Pedagogical Knowledge and Instructional Leadership
A. Pedagogical Knowledge for Teaching Mathematics: drawing on each learner's mathematical strengths to create inclusive social learning contexts; demonstrating equitable and ethical treatment; using instructional formats (whole group, small group, partner, individual) flexibly; supporting equitable learning by incorporating diverse cultural, racial, ethnic, ability, linguistic, gender, and socioeconomic considerations; connecting mathematics to other content areas, everyday life, and the workplace; facilitating productive struggle. Using standards progressions and learning trajectories for developmentally appropriate instruction; determining suitability of curricula and materials; assessing mathematical knowledge using multiple strategies (probing questions, listening, observation); understanding formats, purposes, and limitations of assessment types; applying formative assessment processes (administer, analyze, determine actions); analyzing and communicating formative and summative results; providing timely, targeted, and effective feedback.

B. Instructional Leadership: promoting and supporting rigorous district math programs based on research-supported best practices; communicating professionally with educational stakeholders; demonstrating knowledge of structures and policies affecting equitable access to math instruction; advocating for learners' rights and resources; developing, implementing, evaluating, and improving mathematics programs. Identifying professional development needs; planning, developing, implementing, and evaluating PD programs at school or district level; using PD strategies (mentoring, coaching, peer-teaching, workshops) to facilitate standards-based mathematics instruction; supporting systematic reflection and learning from practice (coaching cycles, video analysis, lesson study, one-on-one observation); applying coaching skills and strategies; identifying differences among coaching moves (telling, direct guidance, invitational guidance); distinguishing roles on the coach-administrator continuum; translating research into teacher-usable practices; determining impact of math specialist contributions and using efficacy data to advocate for the role. Applying RTI/MTSS frameworks; identifying appropriate ways to collect, interpret, and act on data; effective stakeholder communication and consensus-building.
35%
26 questions

Key Topics by Content Domain and Category

Specific competencies at the depth required for an elementary mathematics specialist — pre-K through grade 6 mathematics with deep conceptual understanding and flexible procedural mastery.

Numbers & Ops

Numbers and Operations — 60% of Math Content (Pre-K through Grade 6 Depth)

Largest domain · Counting → Fractions → Ratios
Counting and cardinality (deep conceptual understanding): counting and skip counting 0–1,000; counting on from any whole number; connecting counting to cardinality (the last number counted represents the total quantity — a conceptual milestone, not just a rote skill); one-to-one correspondence between numbers and objects; subitizing (perceptual — recognizing 1–3 at a glance; conceptual — recognizing 4–5 by parts); understanding that sets with higher counts are larger
Whole number operations — deep representation knowledge: all five representation types for all four operations (verbal, visual, physical, contextual, symbolic); connections among representations; multiple approaches to solving real-world problems; properties of operations (commutative, associative, distributive) used in multiple problem-solving ways; basic number theory (prime/composite, factors, multiples, GCF, LCM) — deep enough to evaluate student work about these topics
Place value — conceptual foundation: conceptual understanding of digit value and ten-times relationships between adjacent places; comparing multidigit and decimal numbers; rounding; composing and decomposing multidigit numbers — knowing WHY grouping and ungrouping are helpful (not just that they work); using drawings and manipulatives to represent place value and connecting them to numerical equations and written descriptions
Fractions — the most assessed topic area: fractions as part-whole relationships, as multiples of unit fractions, as numbers, as division (a/b = a ÷ b), and as ratios — moving flexibly among all five conceptualizations; equipartitioning as the foundational precursor to fraction understanding; fraction equivalence; strategies for comparing fractions (benchmark fractions, common denominators, unit fraction reasoning, cross-multiplication reasoning); all four operations with fractions and mixed numbers, with conceptual understanding of why each works; recognizing that multiplying by a fraction less than 1 gives a smaller product
Ratios, proportions, and percents: ratios and unit rates to describe relationships between quantities; flexible conversion among equivalent decimals, fractions, and percents; identifying and representing proportional relationships (graphs passing through origin, equations y = kx, ratio tables with constant ratio); using proportional relationships to solve ratio, percent, and scaling problems; distinguishing proportional from non-proportional relationships
Specialist-level misconception knowledge for Numbers and Operations: incomplete descriptions of multiples; incorrect comparisons of decimals or fractions (students who apply whole-number comparison rules — “0.25 > 0.5 because 25 > 5”); incorrect ideas about fraction products (assuming multiplication always gives a larger result); incorrect ideas about the equal sign as a “do the operation” signal rather than relational equivalence; misconceptions about how to describe number patterns in tables; incorrect descriptions of categories of quadrilaterals; knowing how each misconception would replicate across similar problems
Equations & Expressions

Equations and Expressions — 15% of Math Content

Algebraic thinking · Linear relationships · Functions · Patterns
Equivalence and the equal sign: what it means for algebraic terms, expressions, and equations to be equivalent; the equal sign as relational equivalence (not as “get the answer”) — one of the most important and frequently misunderstood concepts in elementary mathematics; how equations maintain equivalence under certain manipulations but not others; recognizing and correcting the “get the answer” misconception about the equal sign
Expressions and equations: order of operations including parentheses and distributive property; using properties of operations to evaluate and manipulate algebraic expressions; using two interpretations of “variable” — quantities that are unknown (solving equations) and quantities that vary (understanding functions and patterns); translating between verbal statements and algebraic expressions or equations; solving one-variable linear equations and inequalities; interpreting solutions in context
Patterns and functions: identifying, extending, describing, and generating number, shape, and contextual patterns; identifying relationships between corresponding terms of two numerical patterns (finding a rule for a function table); determining if a function is linear or nonlinear; identifying independent and dependent variables; developing functions (graph, equation, table) to model conditions; evaluating and interpreting mathematical models in context; understanding how pattern recognition supports algebraic thinking development
Linear relationships: using linear relationships represented by equations, tables, and graphs to solve problems; understanding slope as rate of change; slope-intercept form at the elementary specialist level; comparing linear and non-linear representations; connecting proportional relationships (y = kx, passes through origin) to linear functions (y = mx + b, may not pass through origin)
Measurement & Geometry

Measurement and Geometry — 15% of Math Content

2D/3D figures · Coordinate plane · Measurement · Transformations
Measurement concepts: recognizing which attributes of objects are measurable; selecting appropriate measurement tools and standard/nonstandard units; calculating and estimating perimeter, area, volume, and angle measurements in real-world problems including composed shapes; using nets to determine surface area of 3D figures; understanding how changes to dimensions affect area and volume (doubling a side quadruples area, octuples volume — a conceptually demanding topic); unit conversions within U.S. customary and metric systems
Geometry — figures and their attributes: identifying and classifying 2D and 3D figures by their attributes (not just shape name); composing and decomposing shapes; drawing shapes based on specific attributes; representing 3D figures with nets; interpreting 2D and 3D representations; understanding the hierarchy of quadrilateral classification (square → rectangle → parallelogram → quadrilateral); identifying incorrect definitions of categories of quadrilaterals — a common misconception source
Coordinate plane: graphing points in all four quadrants; finding perimeters and areas of polygons on the coordinate plane; reflecting and translating figures; understanding how coordinates relate to geometric properties; using coordinate geometry to solve real-world problems
Transformations: understanding reflections, rotations, translations, and dilations at the elementary specialist level; connecting transformations to congruence and similarity; understanding symmetry (line and rotational) in the context of elementary mathematics
Statistics & Probability

Statistics and Probability — 10% of Math Content

Data collection · Measures of center · Probability · Representations
Data collection and representation: understanding statistical questions (questions with variability in answers); collecting, organizing, and displaying data using dot plots, histograms, bar graphs, line plots, box plots; choosing appropriate graphical representations for different data types; reading and interpreting data displays; identifying the story the data tells; evaluating representations of data for accuracy and clarity
Measures of center and spread: calculating mean (sum ÷ count), median (middle value), and mode (most frequent); understanding when each measure is most appropriate — mean for symmetric distributions; median when data is skewed or contains outliers (knowing why and being able to explain this conceptually, not just procedurally); range as the simplest measure of spread; the effect of outliers on mean vs. median
Probability: linking probability to the likelihood that an event will occur (0 = impossible, 1 = certain); theoretical probability (equally likely outcomes) vs. experimental probability (results of actual trials); sample spaces; complementary events; independent vs. dependent events at the introductory level; using proportional reasoning in probability calculations
Specialized Math CKT

Specialized Mathematics Knowledge for Teaching — Applied Tasks

Category I · 49q · The Unique Dimension of This Exam
Evaluating mathematical explanations: given a student or teacher explanation of why a mathematical idea is true (e.g., why the commutative property works for multiplication but not subtraction), evaluate whether the explanation is valid and generalizable; identify what makes it precise or imprecise; determine what changes would improve it; evaluate whether it assumes what it claims to prove
Sequencing based on learning trajectories: given a set of problems or tasks at different difficulty levels, order them from simpler to more complex based on standards progressions and learning trajectories (e.g., join word problems with result unknown are easier than separate problems with initial unknown); identify which problem would be the next appropriate challenge for a student who has demonstrated a specific level of understanding
Evaluating representations and manipulatives: given a teaching context and a set of representations (area models, number lines, base-10 blocks, fraction bars, algebra tiles), evaluate which representation best supports a specific learning goal and why; identify the affordances AND limitations of each representation (e.g., base-10 blocks help with grouping but don't naturally show place value relationships beyond hundreds)
Identifying and responding to student misconceptions: given a student's work on a problem, identify the specific misconception demonstrated; identify how the same reasoning would appear across similar problems; identify different student work samples showing the same underlying incorrect reasoning; select a task, question, or action that most effectively addresses the specific identified misconception (not a general math intervention)
Evaluating student conjectures: given a student's conjecture (e.g., “when you multiply two numbers the product is always larger”), evaluate whether it is valid, partially valid, or invalid; determine the domain over which it is true; identify an appropriate counterexample; evaluate whether a classmate's critique accurately addresses the conjecture
Mathematical Practices application: given a classroom scenario, identify which of the 8 Standards for Mathematical Practice (SMP) is most prominently engaged; identify what the teacher or student would need to do differently to better support a specific practice; distinguish between activities that genuinely develop mathematical practices vs. activities that are merely mathematically related
Pedagogical Leadership

Pedagogical Knowledge and Instructional Leadership — Teacher and Leader Role

Category II · 26q · 35%
Equitable and inclusive mathematics learning: drawing on each learner's mathematical strengths (not just deficits); creating inclusive social learning contexts that engage every learner in discussions and mathematical explorations; demonstrating equitable treatment by holding high expectations for every student; incorporating cultural, racial, ethnic, ability, linguistic, gender, and socioeconomic diversity purposefully; connecting mathematics to learners' experiences and the broader community
Standards progressions and learning trajectories: using learning trajectories to sequence instruction developmentally; connecting mathematical concepts and identifying developmental progressions within them; selecting and adapting curricular materials based on standards progressions; determining the suitability of mathematics curricula and teaching materials for specific learning goals; identifying primary considerations when selecting mathematics curricula
Equitable assessment practices: understanding test validity, reliability, and fairness (definitions and application); identifying purposes, examples, and appropriate interpretations of different assessment types (norm-referenced, criterion-referenced, formative, authentic, progress monitoring, alternate, diagnostic); applying the formative assessment process (administer → analyze → act); providing effective, timely, targeted feedback to students and teachers; communicating assessment results to different audiences (students, parents, administrators, colleagues)
Productive struggle and differentiation: identifying actions that facilitate productive struggle (vs. actions that rescue students too quickly or leave them frustrated); identifying strategies for differentiated instruction; grouping strategies and their affordances and limitations (heterogeneous groups, flexible groups, cooperative learning, whole-class instruction); identifying appropriate actions based on student profiles including ELL students
Coaching moves and professional development: identifying differences among coaching moves — telling (directive), direct guidance (specific without directing), invitational guidance (questioning and invitation to reflect); distinguishing between a coach's role and an administrator's role; planning, developing, implementing, and evaluating PD programs; supporting teachers in lesson study, coaching cycles, video analysis, and one-on-one observation; translating research into teacher-usable practices; applying RTI/MTSS frameworks; effective stakeholder communication and consensus-building
Instructional leadership — program and advocacy: promoting rigorous district math programs based on research-supported best practices; advocating for each student's right to quality mathematics instruction; identifying educational structures and policies affecting equitable access; using efficacy data to advocate for the math specialist role; strategies for conferring and collaborating with stakeholders to develop and improve mathematics programs; communicating professionally with parents, teachers, administrators, and community members about curriculum, instruction, and assessment

Registration, Test Day & Scoring

Everything you need to know before and on exam day.

Registration

Where to registerpraxis.ets.org
Testing formatsIn-person or remote
Preparation levelAdvanced/master's level
Arrive (in-person)30 min early

Scoring

Score typeScaled score
Wrong answer penaltyNone
Passing scoreVaries by state
Results available~5 weeks post-test
State requirementsets.org/praxis/states

Test Structure

Questions75 SR + numeric-entry
Time2 hours (120 minutes)
CalculatorOn-screen four-function ✓
Applied math content≥80% of all questions

Remote Testing

Browser requiredETS Secure Test Browser
DeviceLaptop or desktop only
Equipment neededWebcam, mic, speakers
Proctor typeLive remote proctor

Passing Score Requirements by State

Passing scores are set individually by each state or licensing agency.

Important: Passing score requirements for the Elementary Education: Math Specialist (5037) are set individually by each state or licensing agency. Always verify the exact passing score for your state at ets.org/praxis/states before registering.

Your raw score (number of correct answers) is converted to a scaled score. There is no penalty for incorrect answers — always answer every question. Some questions are unscored pretest items.

How to Prepare for the Praxis Elementary Education: Math Specialist (5037)

Strategies for an advanced exam requiring deep mathematical understanding, specialized teaching knowledge, and instructional leadership expertise.

  • This is an advanced-level exam — deep conceptual mathematical understanding is the foundation for everything else. The Study Companion specifies that math specialists must have not just knowledge of pre-K through grade 6 mathematics content, but “deep conceptual understanding and flexible procedural understanding,” “understanding of key connections among these topics including ways they build upon and support one another within and between grade levels,” and “understanding of how to help students and other stakeholders develop the knowledge and skills described in these topics.” If your own understanding of any topic is primarily procedural — you can do it but can't explain why it works — that topic needs deeper preparation. Use fraction division as a self-test: can you explain why “invert and multiply” works using two different models?
  • Numbers and Operations (60% of math content) demands the deepest preparation — especially fractions. Fractions appear across more question types on the 5037 than any other topic: evaluating explanations of fraction division; identifying student misconceptions about fraction comparison; sequencing fraction tasks by difficulty based on learning trajectories; selecting representations that support fraction understanding; evaluating student conjectures about fraction operations. Know: all five conceptualizations of fractions (part-whole, unit fraction multiple, number, division, ratio); equipartitioning as the foundational concept; multiple strategies for comparing fractions; the conceptual meaning of each fraction operation; and the most common student misconceptions for each fraction subtopic.
  • Specialized Mathematics Knowledge for Teaching (65% of the exam) tests skills that are fundamentally different from content knowledge — practice them separately. Category I questions ask you to evaluate explanations, sequence tasks, identify misconceptions, evaluate counterexamples, and support mathematical practices — not just solve problems. Practice these CKT tasks by working through the Study Companion's discussion questions: “Identify a problem with the same mathematical structure as [example problem].” “Identify student work samples demonstrating the same underlying reasoning.” “Evaluate whether this counterargument accurately critiques the given student conjecture.” These are skills that require practice, not just content review.
  • Instructional Leadership (Category II, 35%) requires knowing coaching and PD frameworks — prepare the leadership content as systematically as the mathematics. Many math specialist candidates over-prepare the mathematics and under-prepare the leadership content. Know the three types of coaching moves (telling, direct guidance, invitational guidance) and when each is appropriate. Know the components of a coaching cycle (pre-conference, classroom observation, post-conference). Know RTI/MTSS tier definitions and what actions each tier involves. Know how lesson study works and what makes it an effective PD structure. Know the differences between formative assessment types (diagnostic, progress monitoring) and their appropriate uses. These questions are worth the same points as the mathematics questions.
  • Know all 8 Standards for Mathematical Practice (SMP) by name and by what they look like in elementary classrooms. SMP questions appear throughout Category I. Know not just the names but what each practice looks like in a 2nd grade classroom vs. a 5th grade classroom; how to create conditions for each practice to emerge; how to distinguish activities that genuinely develop mathematical practices from activities that are merely mathematically engaged. The most commonly tested SMPs are SMP 1 (make sense of problems and persevere), SMP 3 (construct viable arguments and critique reasoning of others), SMP 6 (attend to precision), and SMP 7 (look for and make use of structure).
  • Download the official ETS Study Companion and complete all discussion questions — they directly mirror the exam's question types at the depth required. The 5037 Study Companion's discussion questions are the most specific available preparation for this exam: they ask you to identify word problem structures, evaluate representations' affordances and limitations, identify misconceptions from student work, evaluate the validity and generalizability of student strategies, and identify appropriate coaching actions. Work through every discussion question in writing or with a colleague — the act of generating answers at the depth required is the most direct preparation for what the exam will ask you to do under time pressure.

Frequently Asked Questions

Answers sourced directly from the official ETS Praxis Elementary Education: Math Specialist (5037) Study Companion.

How many questions are on the Praxis Elementary Education: Math Specialist (5037)?+
The exam contains 75 selected-response and numeric-entry questions with a 2-hour time limit. Questions span two categories: Specialized Mathematics Knowledge for Teaching (49 questions, 65%) and Pedagogical Knowledge and Instructional Leadership (26 questions, 35%). At least 80% of all questions require application of mathematics content. An on-screen four-function calculator is provided.
Who takes the Praxis Math Specialist (5037)?+
Per ETS, test takers are typically experienced elementary math teachers who have completed advanced preparation — a master's degree or comparable coursework — in mathematics education. The math specialist serves as both a teacher and an instructional leader, supporting student learning through curriculum design and coaching other teachers. This is not a standard elementary certification exam; it is an advanced specialist credential.
What mathematics domains are covered on the Praxis 5037?+
Four domains (as a percentage of math content questions): Numbers and Operations (60%) — counting, whole number operations, place value/decimals, fractions/operations, ratios/proportions/percents; Equations and Expressions (15%) — equations, expressions, patterns, functions, linear relationships; Measurement and Geometry (15%) — measurement, 2D/3D figures, coordinate plane, transformations; Statistics and Probability (10%) — data collection/representation, measures of center, probability.
What is Specialized Mathematics Knowledge for Teaching (CKT) on the 5037?+
Category I covers three sub-areas: A. Instruction — evaluating mathematical explanations, justifications, and definitions; evaluating problems, tasks, and representations; evaluating use of tools and technologies. B. Student Reasoning — identifying misconceptions; evaluating student work for validity and generalizability; identifying how reasoning replicates across problems. C. Mathematical Practices — identifying ways to support all 8 Standards for Mathematical Practice in elementary classroom contexts.
What is Pedagogical Knowledge and Instructional Leadership on the 5037?+
Category II covers two sub-areas: A. Pedagogical Knowledge — equitable and inclusive learning environments, standards progressions and learning trajectories, assessment practices, formative assessment processes, feedback strategies, differentiating instruction, productive struggle. B. Instructional Leadership — promoting rigorous math programs, professional development planning and delivery, coaching moves and mentoring cycles, RTI/MTSS application, supporting teacher reflection, advocating for equitable access, stakeholder communication.
What standards is the Praxis 5037 aligned to?+
The test is aligned with AMTE Standards for Elementary Mathematics Specialists: A Reference for Teacher Credentialing Programs (2013) and the NCTM CAEP Standards (2012) — Elementary Mathematics Specialist (Advanced Preparation) by the National Council of Teachers of Mathematics and Council for the Accreditation of Educator Preparation.
Is there a penalty for wrong answers on the Praxis 5037?+
No. Your score is based solely on correct answers — there is no penalty for wrong answers. Always answer every question. Never leave a question blank.

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Sources: ETS Praxis Elementary Education: Math Specialist (5037) Study Companion (official PDF, ets.org/s/praxis/pdf/5037.pdf); ETS official test page for 5037; Association of Mathematics Teacher Educators (AMTE) Standards for Elementary Mathematics Specialists (2013); NCTM CAEP Standards (2012) — Elementary Mathematics Specialist Advanced Preparation. Praxis® is a registered trademark of ETS. This site is not affiliated with or endorsed by ETS or AMTE. Passing score requirements vary by state — always verify at ets.org/praxis/states.
Last Updated: May 22, 2026