A practical guide to academic writing

The Formula Book for writing every section of a research paper.

Don't memorize paragraphs. Memorize rhetorical moves — the specific communicative job each sentence performs. This guide gives you the move-by-move formula for every section, with fill-in templates and worked examples.

TL
Tran Duc Le
Assistant Professor · Department of Mathematics, Statistics & Computer Science
University of Wisconsin-Stout Polytechnic, Menomonie, WI, USA
Browse all 16 formulas ↓ Try the Abstract Builder →
The whole paper as six questions
Why?What matters?Introduction
What exactly?The objectiveObjective / RQ
How?The methodMethods
What happened?The observationsResults
What does it mean?The inferenceDiscussion
Why care?The contributionConclusion

Do not memorize paragraphs.
Memorize rhetorical moves.

A "formula" should tell you what intellectual job comes next — establish importance, identify a gap, report evidence, interpret a finding, acknowledge a limitation — not force every paper into identical sentences. IMRaD is the architecture of the whole paper; the moves below are how each section actually argues.

The one-line memory for the entire article: Why → What exactly → How → What happened → What does it mean → Why does it matter

01

The master map

Every paper component, its move formula, and whether the framework is an established name or a practical synthesis.

02

Every section, formula by formula

Sixteen moves. Each card gives the formula, a fill-in template, and a worked example. Hover to focus; the highlighted chips are the core moves.

03

Interactive builders

Two live tools: assemble an abstract from its seven moves, and inspect the anatomy of a single research paragraph.

The Abstract Builder

INTERACTIVE

Click any step to reveal its worked example. The seven moves below are the abstract's full formula: Importance → Gap → Objective → Method → Main finding → Secondary finding → Implication.

Anatomy of a research paragraph

INTERACTIVE

The smallest reusable unit — Topic/Claim → Evidence → Reasoning → Qualification → Take-away/Bridge. Click each row to isolate it.

04

The deeper rule underneath all formulas

The best papers keep a visible chain of one-to-one logical relationships. A paper becomes hard to follow when one of these arrows breaks — a gap with no question, a question with no method, or a conclusion stronger than the evidence.

Gap missing knowledge Research Q what we ask Method how we know Result what we observe Interpretation what it means Contribution why it matters Limitation Future Work defines the boundary
05

Results vs Discussion

The one distinction that separates a report from an argument: Results answer "what did we observe?", Discussion answers "what should we infer?"

Sentence typeUsually belongs in
"X increased by 18%."Results
"The increase suggests X is sensitive to Y."Discussion
"Figure 4 shows a nonlinear relationship."Results
"This nonlinear pattern may arise because…"Discussion
"No meaningful difference was observed."Results
"One explanation for the null result is…"Discussion
"The effect was smaller in Dataset B."Results
"The discrepancy with prior work may reflect…"Discussion
06

Reporting frameworks by study design

The move formulas tell you how to argue; formal guidelines tell you what to report. The hierarchy: journal instructions → design guideline → disciplinary convention → rhetorical formula.

Research designFrameworkWhat it adds
Randomized trialCONSORT 2025Whole-report requirements for randomized trials
Observational (cohort / case-control / cross-sectional)STROBESetting, participants, variables, bias, analysis, generalizability
Systematic review / meta-analysisPRISMA 2020Search/selection methods, checklist, flow diagram
Qualitative interviews / focus groupsCOREQ32-item qualitative checklist
Broader qualitative studySRQRTransparent reporting of design and interpretation
Psychology — quantitativeAPA JARS–QuantQuantitative reporting standards
Psychology — qualitativeAPA JARS–QualQualitative reporting standards
Mixed-methodsAPA JARS–MixedIntegration of quantitative and qualitative components
In-vivo animal researchARRIVE 2.0Design, bias reduction, sample size, analysis, procedures
07

The full blueprint

The entire rhetorical architecture of a conventional empirical paper, compressed into one pass.