The NYSTCE Mathematics Content Specialty Test (Field 004) is the subject examination for New York’s mathematics teaching certificates: 90 selected-response items and 1 extended constructed-response item in 3 hours and 30 minutes of testing time, across six content competencies — number and quantity, algebra, functions, calculus, geometry and measurement, and statistics and probability — plus pedagogical content knowledge. Scores run from 400 to 600 with a 520 passing score, and candidates bring their own approved graphing calculator. PassProfessor’s Mathematics CST program is in the works.
This program is part of the expanding PassProfessor catalog — join the notify list and we’ll email you when enrollment opens.
The mathematics teacher’s examination is the broadest subject paper in this cluster, and its framework says so in its first paragraph: the New York mathematics educator commands number and quantity, algebra, functions, calculus, geometry and measurement, statistics and probability, and modeling — and demonstrates the mathematical practices, from persevering in problem solving to constructing viable arguments and critiquing the reasoning of others. Field 004 examines that whole span in one sitting, then closes with a written assignment that asks the candidate to teach. PassProfessor’s Mathematics CST program is in the works as part of the expanding PassProfessor catalog, organized on the seven competencies of NYSTCE’s published Field 004 framework, so preparation follows the test’s own architecture rather than the syllabus of any single course the candidate once took.
Which examination is this?
This page covers one test: the Content Specialty Test (CST) in Mathematics, Field 004, in the New York State Teacher Certification Examinations (NYSTCE) program — the subject-matter examination taken, alongside the Educating All Students test, by candidates for New York mathematics teaching certificates, principally at the grades 7–12 level with the related middle-level routes. Two neighbours travel with its code in certification guidance and must be kept distinct. The first is NYSTCE Flex Mathematics, Field 614: NYSTCE lists 614 not as this examination but as a Flex performance assessment — a single written submission, open only to candidates who took Field 004 on or after February 26, 2025 and earned a scaled score between 512 and 519, through which an eligible candidate who passes meets the CST requirement without retaking Field 004. Flex is administered by NYSTCE for near-miss candidates; it is not a timed test, not open to first-time candidates, and not what this program prepares candidates for — this program prepares them to pass Field 004 itself. The second neighbour is the Multi-Subject mathematics parts (Fields 246 and 222), which examine elementary teachers’ mathematics at their grade bands; the mathematics certificate’s own test is Field 004, at a different depth, and the two are never interchangeable.
What will the program cover?
Original practice material, written to the seven published competencies. The program is being built from scratch against the Field 004 framework: number and quantity through complex numbers, vectors, and matrices; the algebra of expressions, equations, and systems; functions in every family the framework names; calculus; geometry and measurement; and statistics and probability — with the mathematical practices (modeling, argument, structure, precision, strategic tool use) woven through items rather than appended to them. No practice item is an actual examination item or another provider’s material.
Depth calibrated to a teaching degree’s real shape. Mathematics candidates arrive uneven by construction: an undergraduate major leaves recent strength wherever the last courses sat — often algebra and analysis — and older, thinner coverage in geometry, statistics, or the number-and-quantity extensions. Practice here is organized so that unevenness is measured competency by competency and repaired in the open, with the heaviest blocks — algebra at 20% and functions at 17% of the total score — given weight in the program matching their weight on the test.
The constructed response as a coached discipline. The single extended assignment is scenario-based pedagogical work: describe an instructional strategy toward a stated learning goal, or an intervention for a stated learning difficulty, and provide the rationale. At 20% of the total score it equals the algebra block as the test’s largest single element. This program practises the form — goal or difficulty named from the scenario, strategy fitted to it, rationale argued from the mathematics — under the framework’s own time expectation.
Calculator fluency as part of preparation. Field 004 is the one test in this cluster where the candidate supplies the instrument: NYSTCE requires candidates to bring their own graphing calculator, from its approved list, to the test center, and provides a formulas reference as a test feature. Preparation here assumes the candidate’s own approved device, used the way the sitting will use it.
Preparation only. This program prepares candidates for NYSTCE’s examination. It is not a NYSED, NYSTCE, Pearson, or NES product, carries no credit from any of those bodies, and does not satisfy any certification requirement. Certificates are granted by the New York State Education Department, on its requirements, under its rules. PassProfessor is an independent preparation provider and is not affiliated with NYSED, NYSTCE, Pearson, or NES.
What are the verified facts of the real test?
| Fact of record | Detail |
|---|---|
| Test | Mathematics Content Specialty Test — Field 004, New York State Teacher Certification Examinations (NYSTCE) |
| Format | Computer-based test: 90 selected-response items and 1 constructed-response item; the constructed-response item is extended, scenario-based, and measures pedagogical content knowledge |
| Score weighting | Selected-response items carry 80% of the total score in aggregate; the constructed-response item carries 20% |
| Time | 3 hours and 45 minutes total appointment time, including 15 minutes for the tutorial and nondisclosure agreement; 3 hours and 30 minutes of testing time |
| Calculator | Candidates must bring their own graphing calculator to the test center, from NYSTCE’s approved graphing calculators list; a formulas reference is provided as a test feature |
| Test dates and sites | By appointment year-round, Monday through Saturday excluding some holidays, at test centers in New York State and nationwide |
| Passing score | 520, on the 400–600 scaled-score range |
| Test fee (third-party) | $122 — the NYSTCE test fee for Field 004, paid to NYSTCE at registration; it is not a PassProfessor charge |
| Retakes | A candidate who does not pass may retake the test until a passing score is achieved, reregistering each time; NYSTCE’s retake policy places Field 004 on its 60-day wait list before retaking the same test |
| Near-miss routes (program-administered) | NYSED’s waiver process is available to candidates who score within 0.5 standard error of measurement of the passing score on a Content Specialty Test and apply; NYSTCE Flex Mathematics (614) is a written-submission assessment for candidates who took Field 004 on or after February 26, 2025 and scored 512–519 |
| Score reporting | Scores are reported to the candidate, to NYSED, and to institutions the candidate designates; the score report shows pass status, the total scaled score, and performance by competency |
How does the practice map to the test?
| Competency | Items | Share of total score | What it covers |
|---|---|---|---|
| 0001 Number and Quantity | 9 | 8% | Real and rational numbers, exponents and radicals, quantitative reasoning and units, complex numbers, vectors, matrices, and foundations of abstract algebra |
| 0002 Algebra | 23 | 20% | Expressions and their structure, polynomials and rational expressions, equations and inequalities in one and several variables, systems, and modeling with constraints |
| 0003 Functions | 19 | 17% | The function concept and notation, interpreting and building functions, every major family — linear, quadratic, radical, rational, piecewise, exponential, logarithmic, trigonometric — and transformations and inverses |
| 0004 Calculus | 11 | 10% | Limits, derivatives, and integrals and their applications, as the framework defines the competency |
| 0005 Geometry and Measurement | 17 | 15% | Congruence, similarity, geometric properties and proof, coordinate geometry, measurement, and spatial reasoning |
| 0006 Statistics and Probability | 11 | 10% | Data, distributions, probability, and statistical reasoning and inference at the framework’s level |
| 0007 Pedagogical Content Knowledge | 1 (constructed response) | 20% | The extended assignment: an instructional strategy or intervention for a scenario, with its rationale |
Algebra and Functions — the Test’s Center of Mass
Together the algebra and functions blocks carry 42 of the 90 selected-response items. Algebra examines the manipulation and meaning of symbolic forms: interpreting structure, rewriting expressions in equivalent forms, operations on polynomials and rational expressions, creating and solving equations and inequalities — including the reasoning about extraneous solutions — and solving systems by several methods. Functions examines the concept that organizes secondary mathematics: notation and domain, key features read from any representation, building functions to model relationships, sequences in both recursive and explicit form, transformations, inverses, and the comparison of linear, quadratic, and exponential growth, through trigonometric functions built on the unit circle. Study the two as one subject: the items move between a function’s algebra and its graph without announcing the border.
Number and Quantity, Geometry and Measurement
Number and Quantity is the framework’s foundation block, and its reach is wider than its 8% suggests: it runs from rational-number arithmetic through rational exponents and radicals to complex arithmetic in rectangular and polar form, the fundamental theorem of algebra, vector operations, matrix operations and applications, and the vocabulary of abstract algebra — groups, rings, fields, vector spaces. Geometry and Measurement, at 15%, is the block most correlated with how long ago a candidate last studied geometry formally; it rewards a systematic re-pass through congruence, similarity, proof habits, and coordinate methods rather than problem-of-the-day exposure.
Calculus, and Statistics and Probability
Calculus carries 10% of the score. The framework document itself carries a note worth knowing: there is no calculus component in the New York State Learning Standards for Mathematics, and the framework retains calculus at approximately a tenth of the test — a candidate is examined on it as a teacher’s background knowledge, beyond the school curriculum’s edge. Statistics and Probability, also 10%, examines data and chance at the level a teacher needs to teach the standards’ statistics strand and to reason about variation honestly. Neither block is large enough to carry a candidacy; either is large enough, neglected, to end one at the margin.
Pedagogical Content Knowledge — the Constructed Response
The extended assignment mirrors the English Language Arts test’s form: scenario-based, asking for an instructional strategy toward a specific learning goal or an intervention for a specific learning difficulty, with a rationale. In mathematics the scenario typically carries student work or a described misconception, and the rationale is expected to argue from the mathematics in it — why this difficulty arises, why this intervention addresses its cause. The framework’s design estimate allows up to 60 minutes for the assignment inside the sitting.
Who takes this test — and where does it sit in certification?
The candidates are prospective mathematics teachers, principally for the grades 7–12 certificate and the middle-level routes that share the subject, taking Field 004 alongside the Educating All Students test in the standard first-Initial-certificate pattern. The population splits into recent mathematics graduates — for whom the test’s breadth is a revision problem — and career changers with quantitative degrees, for whom the content may be deep in places but the pedagogical assignment and the school-mathematics strands (statistics, geometry as taught) are the unfamiliar ground. The exact requirement for a specific certificate is confirmed through NYSTCE’s testing-requirements guidance; this page covers Field 004 itself.
How is the sitting approached — and what happens after it?
The appointment runs 3 hours and 45 minutes — the longest in this cluster — with 15 minutes of tutorial and nondisclosure agreement and 3 hours and 30 minutes of testing time paced by the candidate. Two sitting facts are specific to this test. The candidate brings their own graphing calculator from NYSTCE’s approved list; an unapproved or forgotten calculator is a test-day failure no content knowledge repairs. And the retake clock is longer than its neighbours’: NYSTCE’s retake policy places Field 004 on the list of tests requiring a 60-day wait before retaking the same test. Results arrive as a scaled score from 400 to 600 against the 520 passing score, with performance by competency. A candidate below the line weighs the retake against two program-administered near-miss routes — NYSED’s waiver for candidates within half a standard error of measurement of the passing score on a Content Specialty Test, and NYSTCE Flex Mathematics (614) for scores of 512–519 on a Field 004 taken on or after February 26, 2025 — each set out in the companion exam guide.
What makes this test demanding?
First, the span. Six content competencies running from abstract algebra’s vocabulary to school statistics, examined in one 210-minute sitting, against a preparation history that almost never covers the span evenly. Second, the calculator paradox: the test permits a powerful instrument and then examines the setup of problems — modeling choices, representations, structure — that the instrument cannot make, so candidates fluent in keystrokes but rusty in formulation find the permission worth little. Third, the 60-day retake wait working on the calendar: a failed spring sitting costs a summer, which quietly raises the value of the unglamorous competencies — geometry, statistics, the written assignment — that candidates most often defer.
An honest note on format
PassProfessor practice works in the test’s own formats — selected-response items across the six content competencies, worked with the candidate’s own approved graphing calculator, and the extended scenario-based written assignment — because that is what NYSTCE administers. NYSTCE does not release its examination questions, and no provider can offer them. Practice results are a study gauge: a way to see which competency is thin while there is time to strengthen it, not a prediction of an examination outcome.
How should you use this page while the program is in the works?
- Join the notify list today. Enrollment is not open yet, and the notify list is how you hear the moment it is. While you wait, read the exam guide — it walks the format, each competency, and a study plan in full.
- Confirm your calculator against the approved list now. Field 004 requires candidates to bring their own graphing calculator from NYSTCE’s approved models; verify the exact device early and practise on the device you will carry in.
- Diagnose by competency, with algebra and functions timed separately. Those two blocks are 37% of the total score between them; a combined “math is fine” judgment hides the split that decides this test.
- Respect the 60-day retake wait in your scheduling. Sit when the diagnostics say ready, not when the calendar is merely convenient — on this test, a premature sitting is the expensive kind.
Frequently asked questions
What is the Mathematics CST? Field 004 of the NYSTCE program: the Content Specialty Test for New York mathematics teaching certificates, comprising 90 selected-response items across six content competencies and one extended constructed-response item measuring pedagogical content knowledge.
What score passes Field 004? A scaled score of 520, on the 400–600 range. Scores are reported with pass status and performance by competency.
What does the test cost? The NYSTCE test fee for Field 004 is $122, paid to NYSTCE at registration — a third-party examination fee, separate from any PassProfessor program.
What calculator do I need? Your own graphing calculator, from NYSTCE’s approved graphing calculators list — NYSTCE states that candidates must bring their own graphing calculator to the test center for Field 004. A formulas reference is provided as a test feature. No on-screen substitute is listed for this test.
What is NYSTCE Flex Mathematics (614)? A separate NYSTCE performance assessment, listed by NYSTCE under its Flex assessments rather than as this Content Specialty Test. It requires one written submission and is open only to candidates who took Field 004 on or after February 26, 2025 and scored between 512 and 519. A candidate who passes Flex 614 meets the relevant CST requirement. This program prepares candidates for Field 004 itself, not for the Flex submission.
Which competencies carry the most weight? Algebra, at 23 items and 20% of the total score, and the constructed response, also at 20%. Functions follows at 19 items and 17%, then Geometry and Measurement at 15%, Calculus and Statistics and Probability at 10% each, and Number and Quantity at 8%.
Is calculus really on a school teaching test? Yes — the framework includes a Calculus competency at 11 items and 10% of the score, while noting in the framework document itself that the New York State Learning Standards for Mathematics contain no calculus component. It is examined as teacher background knowledge.
How long is the test? 3 hours and 30 minutes of testing time inside a 3-hour-and-45-minute appointment that includes 15 minutes for the tutorial and nondisclosure agreement — the longest appointment among the tests in this cluster.
How soon can I retake Field 004 if I do not pass? After a 60-day wait: NYSTCE’s retake policy places Mathematics (004) on its list of tests requiring 60 days before retaking the same test. Candidates scoring within the published near-miss windows should also check the waiver and Flex 614 routes described in the exam guide.
When will the PassProfessor Mathematics CST program open? The program is in the works and enrollment is not open yet. Join the notify list on this page and you will be emailed when enrollment opens; the companion exam guide is available to read now for planning your preparation.
Is PassProfessor affiliated with NYSED or NYSTCE? No. PassProfessor is an independent preparation provider, not affiliated with NYSED, NYSTCE, Pearson, or NES, and this program is preparation only. The certificate is granted by the New York State Education Department on its own requirements.