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Model Perspective
Model Perspective
Mar 21, 2024 · Fundamentals

How the “Maximum Regret Principle” Guides Decision‑Making: A Mathematical Model Explained

The article introduces Zhang Ruimin’s “maximum regret principle,” explains its mathematical formulation using regret matrices and utility functions, and demonstrates its application through a concrete investment decision example that shows how minimizing the worst‑case regret leads to robust choices.

Business strategydecision theorymathematical modeling
0 likes · 5 min read
How the “Maximum Regret Principle” Guides Decision‑Making: A Mathematical Model Explained
Model Perspective
Model Perspective
Mar 18, 2024 · Fundamentals

How Long Does a Brick Take to Sink to the Ocean Bottom? A Physics Model

Confucius watches two children argue about a brick’s sinking time, then uses physics—gravity, buoyancy, drag—and a mathematical model with Python code to estimate how long the brick takes to reach the bottom of various oceans, highlighting differences due to depth and terminal velocity.

PhysicsPythonfluid dynamics
0 likes · 9 min read
How Long Does a Brick Take to Sink to the Ocean Bottom? A Physics Model
Model Perspective
Model Perspective
Dec 24, 2023 · Fundamentals

Unlocking Trigonometry: Sine, Cosine Laws and Half-Angle Tricks for Real-World Modeling

This article explores the core trigonometric theorems—the sine and cosine laws—and the universal half-angle substitution, illustrating their mathematical foundations and diverse applications ranging from geographic distance calculations to acoustic wave modeling, electrical circuits, and architectural design.

Applicationscosine lawhalf-angle substitution
0 likes · 5 min read
Unlocking Trigonometry: Sine, Cosine Laws and Half-Angle Tricks for Real-World Modeling
Model Perspective
Model Perspective
Dec 9, 2023 · Fundamentals

Optimal Harvest Timing: What a Simple Growth Model Reveals

By defining variables for growth rate, harvest interval, and total yield, the article builds a simplified mathematical model of chive (or plant) growth, shows that total harvest depends only on growth rate, and then refines the model with stage‑dependent rates to identify optimal cutting intervals.

growth rateharvest optimizationmathematical modeling
0 likes · 5 min read
Optimal Harvest Timing: What a Simple Growth Model Reveals
Model Perspective
Model Perspective
Nov 19, 2023 · Fundamentals

How Diffusion Models Explain Everyday Phenomena and Environmental Risks

This article introduces the fundamental concepts and mathematical description of diffusion, explores its wide-ranging applications from daily life to environmental engineering, and demonstrates its use through a detailed ink‑in‑water example and a lake‑spill case study.

Fick's lawPhysicsdiffusion
0 likes · 10 min read
How Diffusion Models Explain Everyday Phenomena and Environmental Risks
Model Perspective
Model Perspective
Nov 2, 2023 · Artificial Intelligence

Why Mathematical Modelers Must Embrace LLMs and Forget Outdated Skills

The article explains how rapid advances in data and large language models force mathematical modelers to continuously update their models and skills, discard obsolete knowledge, and adopt lifelong learning to stay effective in a fast‑changing AI‑driven environment.

Data Scienceartificial intelligencecontinuous learning
0 likes · 6 min read
Why Mathematical Modelers Must Embrace LLMs and Forget Outdated Skills
Model Perspective
Model Perspective
Nov 1, 2023 · Fundamentals

HiMCM Modeling Challenges: Dandelion Spread, E‑Bus Charging, Olympic Medal Planning

The 2023 HiMCM competition presents three interdisciplinary modeling problems—predicting dandelion dispersion across climates, designing ecological and financial models for electric bus fleet transitions, and estimating medal and flag requirements for Paris 2024 Olympic ceremonies—each requiring comprehensive mathematical analysis and strategic planning.

HiMCMOlympicsdandelion
0 likes · 13 min read
HiMCM Modeling Challenges: Dandelion Spread, E‑Bus Charging, Olympic Medal Planning
Model Perspective
Model Perspective
Oct 31, 2023 · Fundamentals

Can Dancing While Eating Keep You Thin? A Mathematical Model of Weight Change

Using a simple differential equation model, this article estimates how a food‑reviewing blogger’s weight evolves when each meal is paired with brief dance sessions, assuming constant basal metabolism, fixed calorie intake per dish, and calculated dance‑burn, revealing an approximate 0.73 kg weekly gain over three months.

calorie balancedifferential equationmathematical modeling
0 likes · 7 min read
Can Dancing While Eating Keep You Thin? A Mathematical Model of Weight Change
Model Perspective
Model Perspective
Oct 30, 2023 · Fundamentals

How Can Math Teachers Turn Modeling Lessons into Real-World Solutions?

This article encourages math educators to move beyond relying on pre‑made modeling materials, urging them to engage directly in real‑world problem solving, continuously learn, reflect, adopt student‑centered approaches, and collaborate, thereby enhancing both their teaching practice and students’ ability to tackle complex challenges.

continuous learningmathematical modelingproblem solving
0 likes · 5 min read
How Can Math Teachers Turn Modeling Lessons into Real-World Solutions?
Model Perspective
Model Perspective
Oct 26, 2023 · Fundamentals

Modeling Classic Afanti Tales: Donkey, Oil, and Meal Fee Puzzles

This article explores how mathematical modeling and graph‑theoretic methods can rigorously solve three classic Afanti folk stories—dividing donkeys, splitting oil, and a meal‑fee dispute—illustrating the power of formal models for everyday problem solving.

folk talesgraph theorymathematical modeling
0 likes · 15 min read
Modeling Classic Afanti Tales: Donkey, Oil, and Meal Fee Puzzles
Model Perspective
Model Perspective
Oct 16, 2023 · Fundamentals

Modeling the Learning Gap: How Math Reveals Why Struggling Students Fall Behind

Using simple differential equations, the article explores how effort, external support, and obstacles affect a student's learning progress, compares basic and competitive models, and shows through simulations how thresholds and peer pressure can either boost or hinder underperforming students' advancement.

Student Performanceeducational modelinglearning dynamics
0 likes · 7 min read
Modeling the Learning Gap: How Math Reveals Why Struggling Students Fall Behind
Model Perspective
Model Perspective
Oct 13, 2023 · Fundamentals

Why Simple Models Outperform Complex Ones: Lessons from Mathematical Modeling

The article shares key insights from Dr Wu Jun’s book on mathematical modeling, emphasizing the power of simplicity, iterative refinement, abundant accurate data, and noise analysis while also offering broader philosophical reflections on problem‑solving, algorithms, education, and information.

@Dataiterationmathematical modeling
0 likes · 8 min read
Why Simple Models Outperform Complex Ones: Lessons from Mathematical Modeling
Model Perspective
Model Perspective
Oct 12, 2023 · Fundamentals

Why Qualitative Research Is Essential for Accurate Mathematical Modeling

Qualitative research methods, such as interviews and observations, complement quantitative analysis in mathematical modeling by uncovering hard‑to‑measure factors, improving model accuracy, relevance, interpretability, and innovation, ultimately leading to more robust and actionable solutions for complex real‑world problems.

mathematical modelingmodel accuracy
0 likes · 10 min read
Why Qualitative Research Is Essential for Accurate Mathematical Modeling
Model Perspective
Model Perspective
Oct 5, 2023 · Fundamentals

Unlocking Ancient Secrets: The Science and Math Behind Carbon‑14 Dating

This article explains the fundamental principles of carbon‑14 radiocarbon dating, presents the underlying first‑order decay differential equation, demonstrates how to calculate an organism’s age, illustrates the method with the Ötzi the Iceman case, and discusses its limitations and challenges.

ancient samplesarchaeologydecay equation
0 likes · 4 min read
Unlocking Ancient Secrets: The Science and Math Behind Carbon‑14 Dating
Model Perspective
Model Perspective
Sep 25, 2023 · Fundamentals

How Mathematical Modeling Turns Data into Money: From Finance to E‑Commerce

This article explores how mathematical modeling serves as a profit‑driving tool across finance, industry, e‑commerce and personal finance, explaining core concepts, classic models like Black‑Scholes, optimization techniques, recommendation algorithms, and practical formulas for individual wealth planning.

financeindustrial engineeringmathematical modeling
0 likes · 8 min read
How Mathematical Modeling Turns Data into Money: From Finance to E‑Commerce
Model Perspective
Model Perspective
Sep 24, 2023 · Fundamentals

Innovative Mathematical Modeling Techniques to Supercharge Your Problem Solving

This article explores why innovative mathematical modeling matters, presents multi‑angle thinking, new mathematical tools, interdisciplinary integration, and practical tips such as open mindset, extensive reading, simulation, teamwork, and continuous learning, illustrated with classic examples like Google’s PageRank algorithm.

InnovationPageRankinterdisciplinary
0 likes · 6 min read
Innovative Mathematical Modeling Techniques to Supercharge Your Problem Solving
Model Perspective
Model Perspective
Sep 23, 2023 · Fundamentals

How Do Mega Sports Events Impact Economies? A Mathematical Modeling Approach

This article examines the economic and social benefits of hosting large-scale sports events such as the Olympics and Asian Games, outlining core economic theories like multiplier, opportunity cost, legacy and substitution effects, and presenting mathematical models—including time‑series, utility functions, and regression analyses—illustrated with historical case studies.

Case StudyEconomic Impactmathematical modeling
0 likes · 10 min read
How Do Mega Sports Events Impact Economies? A Mathematical Modeling Approach
Model Perspective
Model Perspective
Sep 21, 2023 · Fundamentals

Unlock the Jargon: Essential Terms Every Math Modeling Beginner Must Know

This comprehensive guide demystifies over one hundred core mathematical modeling terms—from basic concepts like models and abstraction to advanced topics such as optimization, dynamic systems, stochastic processes, statistical methods, and machine learning—helping newcomers confidently navigate the field.

machine learningmathematical modelingmodeling terminology
0 likes · 20 min read
Unlock the Jargon: Essential Terms Every Math Modeling Beginner Must Know
Model Perspective
Model Perspective
Sep 19, 2023 · Fundamentals

Why Mathematical Modeling Feels Like Rock: A Creative Exploration

The author blends a rock song parody with a passionate discussion of mathematical modeling, explaining its purpose, real‑world impact, challenges, and creative process, while urging readers to appreciate the art and science behind turning complex phenomena into understandable models.

creative learningmathematical modelingrock culture
0 likes · 7 min read
Why Mathematical Modeling Feels Like Rock: A Creative Exploration
Model Perspective
Model Perspective
Sep 16, 2023 · Fundamentals

Why Mathematical Modeling Matters: From Tumor Growth to Bridge Vibrations

Mathematical modeling transforms complex real-world phenomena into solvable equations, enabling predictions and insights across fields such as medicine, engineering, weather forecasting, and power systems, while highlighting model types, classifications, benefits, and challenges for researchers and engineers.

Predictionmathematical modelingscience
0 likes · 6 min read
Why Mathematical Modeling Matters: From Tumor Growth to Bridge Vibrations
Model Perspective
Model Perspective
Sep 15, 2023 · Fundamentals

Why All Models Are Wrong Yet Some Are Useful: Exploring Mathematical Modeling

This article examines George Box’s famous maxim that all models are wrong but some are useful, explaining the nature and purpose of models, their inherent limitations, and illustrating their value through examples such as epidemic SIR models, logistic growth, climate projections, and financial pricing models.

ModelsSIRclimate modeling
0 likes · 10 min read
Why All Models Are Wrong Yet Some Are Useful: Exploring Mathematical Modeling
Model Perspective
Model Perspective
Sep 14, 2023 · Fundamentals

Why Approximate Answers Often Outperform Exact Ones in Mathematical Modeling

Mathematical modeling emphasizes defining the right problem and accepting approximations, as John Tukey noted, because a quick, approximate answer can be more valuable than a precise one that’s too slow or misaligned with the actual goals, highlighting model limitations and the importance of problem selection.

Tukeymathematical modelingmodel limitations
0 likes · 5 min read
Why Approximate Answers Often Outperform Exact Ones in Mathematical Modeling
Model Perspective
Model Perspective
Aug 20, 2023 · Fundamentals

How Differential Equations Model Everything from Populations to Physics

From population growth and disease spread to radioactive decay, cooling laws, chemical reactions, and chaotic systems, this article explores how first‑order differential equations serve as a universal mathematical language that precisely describes dynamic processes across biology, physics, chemistry, and economics.

Physicsbiologydifferential equations
0 likes · 8 min read
How Differential Equations Model Everything from Populations to Physics
Model Perspective
Model Perspective
Jun 28, 2023 · Fundamentals

Unlocking Real-World Problem Solving: A Practical Guide to Mathematical Modeling

This preface introduces a comprehensive, experience‑driven guide that explains the value of mathematical modeling, outlines a unique "situation‑thinking‑method" framework, details the book’s structure and features, and calls educators to join a community for advancing modeling education.

competitionseducationmathematical modeling
0 likes · 16 min read
Unlocking Real-World Problem Solving: A Practical Guide to Mathematical Modeling
Model Perspective
Model Perspective
Apr 7, 2023 · Fundamentals

From Insight to Implementation: Mastering Mathematical Modeling

The article outlines a progressive learning framework for mathematical modeling that moves learners from initial exposure and literature review, through guided practice and skill development, to independent implementation and innovation, emphasizing continuous problem engagement, resilience against failure, and iterative improvement.

PracticeSkill developmenteducation
0 likes · 4 min read
From Insight to Implementation: Mastering Mathematical Modeling
Model Perspective
Model Perspective
Apr 3, 2023 · Fundamentals

Mastering Mathematical Modeling: From Problem Analysis to Solution

This article outlines the two‑stage process of mathematical modeling, detailing how to analyze a problem, simplify its context, translate it into mathematical symbols, construct equations or functions, and then analyze and solve the resulting model, while emphasizing iterative refinement when challenges arise.

Analysisiterationmathematical modeling
0 likes · 3 min read
Mastering Mathematical Modeling: From Problem Analysis to Solution
Model Perspective
Model Perspective
Apr 2, 2023 · Fundamentals

What Is Mathematical Modeling and Why It Powers Real-World Problem Solving

Mathematical modeling uses abstract mathematical equations, like Newton’s second law, to represent real‑world phenomena, enabling students to apply mathematical knowledge to solve practical problems, deepen understanding, and develop interdisciplinary skills that drive scientific and economic progress.

Newton's second lawinterdisciplinary educationmathematical modeling
0 likes · 3 min read
What Is Mathematical Modeling and Why It Powers Real-World Problem Solving
Model Perspective
Model Perspective
Feb 26, 2023 · Fundamentals

How to Quickly Master an Unfamiliar Field for Math Modeling

This guide explains practical steps—defining goals, gathering keywords, using search engines, academic papers, books, and AI tools like ChatGPT—to rapidly understand a new domain such as drought‑affected plant communities and build a mathematical model for competition dynamics.

Python simulationdroughtecology
0 likes · 12 min read
How to Quickly Master an Unfamiliar Field for Math Modeling
Model Perspective
Model Perspective
Dec 17, 2022 · Fundamentals

Can Mathematical Modeling Optimize Food Storage? Exploring the Problem

A personal anecdote about receiving assorted frozen and fresh foods leads to a request for mathematical modeling approaches to efficiently organize limited refrigerator space, posing questions about problem formulation, model design, validation, and broader applicability.

Logisticsfood storagemathematical modeling
0 likes · 2 min read
Can Mathematical Modeling Optimize Food Storage? Exploring the Problem
Model Perspective
Model Perspective
Dec 15, 2022 · Fundamentals

Does Running Faster in the Rain Keep You Drier? A Physics Analysis

Analyzing how walking speed and wind direction affect the amount of rain a person absorbs, this article models a person as a rectangular prism and derives formulas showing that, under no‑wind conditions, faster movement reduces wetness, while certain wind scenarios can reverse this relationship.

Physicsmathematical modelingmotion
0 likes · 5 min read
Does Running Faster in the Rain Keep You Drier? A Physics Analysis
Model Perspective
Model Perspective
Dec 9, 2022 · Fundamentals

How the Golden Ratio Optimizes Milk Carton Design for Cost Savings

This article explores how mathematical modeling and the golden ratio can be applied to optimize the length‑width‑height proportions of a fixed‑volume milk carton, minimizing surface area and packaging cost while revealing the harmonious geometry behind its design.

Geometrygolden ratiomathematical modeling
0 likes · 3 min read
How the Golden Ratio Optimizes Milk Carton Design for Cost Savings
Model Perspective
Model Perspective
Dec 7, 2022 · Operations

How to Model the Optimal Factory Price for Toothpaste Packs

Using proportional relationships between production cost, material mass, and packaging surface area, this model determines the reasonable factory price for a specific toothpaste pack size by solving equations derived from known prices of other pack sizes and analyzing cost components.

Operations Researchcost analysismathematical modeling
0 likes · 4 min read
How to Model the Optimal Factory Price for Toothpaste Packs
Model Perspective
Model Perspective
Dec 5, 2022 · Fundamentals

Can All Four Legs of a Chair Touch the Ground on an Uneven Surface? A Mathematical Proof

Exploring whether a chair with four equal-length legs can always rest evenly on a non‑flat surface, this article models the problem using coordinate transformations and continuity, applies the intermediate value theorem, and demonstrates that on a smooth curved floor the legs can indeed all touch simultaneously.

Geometrycontinuityintermediate value theorem
0 likes · 6 min read
Can All Four Legs of a Chair Touch the Ground on an Uneven Surface? A Mathematical Proof
Model Perspective
Model Perspective
Nov 28, 2022 · Fundamentals

Unlocking the Psychology Behind Effective Mathematical Modeling

The article explores how psychological stages—problem perception, model brewing, and modeling inspiration—guide the abstraction, assumption, and creative steps needed to transform real‑world issues into precise, useful mathematical models.

Psychologymathematical modelingmodeling process
0 likes · 8 min read
Unlocking the Psychology Behind Effective Mathematical Modeling
Model Perspective
Model Perspective
Nov 26, 2022 · Fundamentals

Mastering Mathematical Modeling: Key Requirements and Step‑by‑Step Process

This article outlines the essential criteria—accuracy, simplicity, solid scientific basis, standard forms, and controllability—and presents a detailed, seven‑step workflow for preparing, assuming, constructing, solving, analyzing, validating, and applying mathematical models to real‑world problems.

fundamentalsmathematical modelingmodel requirements
0 likes · 8 min read
Mastering Mathematical Modeling: Key Requirements and Step‑by‑Step Process
Model Perspective
Model Perspective
Nov 18, 2022 · Fundamentals

Why Teaching Middle School Math Is Really About Teaching Mathematical Models

The article argues that middle school mathematics education should be viewed as teaching and learning mathematical models, emphasizing real‑world prototypes, active learning processes, and the reverse‑model method to foster deeper understanding and application skills.

Mathematics Educationmathematical modelingmiddle school math
0 likes · 7 min read
Why Teaching Middle School Math Is Really About Teaching Mathematical Models
Model Perspective
Model Perspective
Nov 17, 2022 · Fundamentals

What Makes a Mathematical Model Powerful? Traits, Functions, and Classifications

This article explains the essential characteristics, primary functions, and various classification schemes of mathematical models, highlighting their abstraction, accuracy, predictive power, and how they simplify, simulate, and apply to real‑world phenomena across deterministic, stochastic, fuzzy, and abrupt domains.

Predictive Modelingabstractionmathematical modeling
0 likes · 8 min read
What Makes a Mathematical Model Powerful? Traits, Functions, and Classifications
Model Perspective
Model Perspective
Nov 15, 2022 · Fundamentals

How Mathematical Models Drive Economic Growth, Banking, and Market Decisions

This article explores how various mathematical models—such as linear, compound interest, annuity, and optimization frameworks—are applied to national economic analysis, banking operations, securities, insurance, consumer pricing, and production management, illustrating their role in forecasting, decision‑making, and improving market competitiveness.

Interest Rateseconomicsfinance
0 likes · 9 min read
How Mathematical Models Drive Economic Growth, Banking, and Market Decisions
Model Perspective
Model Perspective
Nov 14, 2022 · Fundamentals

How Mathematics Revolutionized Modern Biology: From Models to Ecology

Since the mid‑20th century, the infusion of mathematical theory and computer‑driven modeling has transformed biology, spawning fields such as mathematical ecology, numerical taxonomy, statistical genetics, and numerous model‑based approaches that quantify ecological dynamics, classification, and evolutionary mechanisms.

biologycomputational biologyecology
0 likes · 4 min read
How Mathematics Revolutionized Modern Biology: From Models to Ecology
Model Perspective
Model Perspective
Nov 4, 2022 · Fundamentals

How Lanchester Models Can Predict War Trends: A Practical Overview

This article introduces Lanchester's combat models, explains their assumptions and symbols for conventional, guerrilla, and mixed warfare, provides a numerical example with plotted forces, and discusses the models' strengths, limitations, and relevance for analyzing conflict dynamics.

Conflict SimulationLanchester modelOperations Research
0 likes · 7 min read
How Lanchester Models Can Predict War Trends: A Practical Overview
Huawei Cloud Developer Alliance
Huawei Cloud Developer Alliance
Jul 26, 2022 · Artificial Intelligence

Unlock AI-Driven Optimization: Join the NL4Opt Challenge at NeurIPS 2022

The NL4Opt competition at NeurIPS 2022, co‑hosted by Huawei Cloud and two Canadian universities, introduces the first natural‑language‑based mathematical‑modeling dataset, offering named‑entity‑recognition and model‑generation tracks, a detailed schedule, and prize incentives to advance AI‑powered optimization research.

AI competitionNL4OptNeurIPS
0 likes · 5 min read
Unlock AI-Driven Optimization: Join the NL4Opt Challenge at NeurIPS 2022
Model Perspective
Model Perspective
Jul 17, 2022 · Fundamentals

Modeling Yeast Growth with a Discrete Logistic Equation

This article presents a step‑by‑step mathematical modeling of yeast biomass growth using a discrete logistic model, fits the model parameters via least‑squares, validates it with Python code, and discusses its prediction error and broader applicability to S‑shaped population dynamics.

Pythonlogistic modelmathematical modeling
0 likes · 5 min read
Modeling Yeast Growth with a Discrete Logistic Equation
Model Perspective
Model Perspective
Jul 13, 2022 · Operations

Optimizing Firefighter Deployment to Minimize Forest Fire Costs

This article formulates a mathematical model to determine the optimal number of firefighters to dispatch after a forest fire, balancing reduced forest damage against rescue costs by incorporating variables such as fire spread speed, burn area, crew size, extinguishing speed, and both variable and fixed expenses, and solves for the crew size that minimizes total cost.

Operations Researchcost minimizationfirefighting optimization
0 likes · 3 min read
Optimizing Firefighter Deployment to Minimize Forest Fire Costs
Model Perspective
Model Perspective
Jul 7, 2022 · Fundamentals

Is the 2‑Second Rule Really Equivalent to the One‑Car‑Length Rule? A Mathematical Model

By comparing the traditional one‑car‑length spacing rule with the widely used 2‑second rule, this article builds a mathematical model of braking distance based on reaction time, speed, and vehicle mass, estimates parameters using real traffic data, and proposes a generalized t‑second rule.

braking distancemathematical modelingreaction time
0 likes · 3 min read
Is the 2‑Second Rule Really Equivalent to the One‑Car‑Length Rule? A Mathematical Model
Model Perspective
Model Perspective
Jul 1, 2022 · Fundamentals

How the Leslie Matrix Reveals Age‑Structured Population Dynamics

The Leslie matrix model improves on simple Malthus and Logistic approaches by dividing the population into age classes, using age‑specific fertility and survival rates to predict future age distributions and total population size, offering richer, more realistic demographic forecasts.

Leslie matrixage‑structured modeldemography
0 likes · 4 min read
How the Leslie Matrix Reveals Age‑Structured Population Dynamics
Model Perspective
Model Perspective
Jun 23, 2022 · Fundamentals

How to Write a Winning Math Modeling Competition Paper: Structure & Tips

This guide outlines the essential seven-section structure of a mathematics modeling competition paper, offers detailed advice on crafting an effective abstract, and provides step‑by‑step instructions for writing each core component—from problem restatement and assumptions to model building, solution, evaluation, references, and appendices.

Paper Writingabstractmathematical modeling
0 likes · 14 min read
How to Write a Winning Math Modeling Competition Paper: Structure & Tips
Model Perspective
Model Perspective
Jun 9, 2022 · Fundamentals

How to Model Cooling with Differential Equations: Step-by-Step Guide

This article outlines a three‑step process for constructing differential‑equation models, demonstrates it with a Newton cooling problem, derives the governing equation, solves it analytically and numerically using Python’s sympy, and predicts the object’s temperature after 20 minutes.

Newton coolingPythondifferential equations
0 likes · 4 min read
How to Model Cooling with Differential Equations: Step-by-Step Guide
Model Perspective
Model Perspective
May 27, 2022 · Fundamentals

How to Master HiMCM: Modeling, Coding, Writing & Teamwork Lessons

This post‑competition reflection shares practical advice on modeling workflow, programming preparation, academic writing, team collaboration, topic selection, paper quality tiers, case studies of award‑winning teams, five key modeling abilities, and a six‑step modeling process for future HiMCM participants.

Paper Writingcompetitionmathematical modeling
0 likes · 11 min read
How to Master HiMCM: Modeling, Coding, Writing & Teamwork Lessons
Model Perspective
Model Perspective
May 23, 2022 · Operations

Modeling Reasonable Price Fluctuations During Shanghai’s COVID Lockdown

This article outlines a research framework for identifying price‑driving factors, building mathematical models to define reasonable price ranges for individual goods and regions, and evaluating whether Shanghai’s lockdown‑era commodity prices were excessive, ultimately offering policy recommendations for future emergencies.

COVID lockdownSupply Chaineconomic analysis
0 likes · 3 min read
Modeling Reasonable Price Fluctuations During Shanghai’s COVID Lockdown
Model Perspective
Model Perspective
May 18, 2022 · Fundamentals

How to Model the Perfect Summer Job for High School Students

This article outlines a HiMCM modeling problem that asks high school students to identify factors, build a decision algorithm, test it with fictional cases, and propose a presentation format for selecting the best summer job, balancing earnings, recreation, and personal preferences.

Decision ModelHiMCMhigh school
0 likes · 11 min read
How to Model the Perfect Summer Job for High School Students
Model Perspective
Model Perspective
May 14, 2022 · Fundamentals

Why Validating Your Model Matters: Ensuring Reliable Results

This article explains why model validation is essential, covering parameter sensitivity analysis, consistency checks against common sense or domain knowledge, and how validation can both confirm and extend modeling results for more robust and trustworthy conclusions.

mathematical modelingmodel reliabilitymodel validation
0 likes · 5 min read
Why Validating Your Model Matters: Ensuring Reliable Results
Model Perspective
Model Perspective
May 13, 2022 · Fundamentals

How Middle School Students Can Build Simple Decision Models for Choosing a Laptop

This article explores how eighth‑grade students can tackle a real‑world laptop selection problem using basic evaluation models—such as filtering, rank‑sum, rank‑product, and weighted rank‑product methods—while illustrating how teachers can guide model refinement and introduce more advanced techniques like AHP and entropy weighting.

decision analysiseducationmathematical modeling
0 likes · 7 min read
How Middle School Students Can Build Simple Decision Models for Choosing a Laptop
Model Perspective
Model Perspective
May 5, 2022 · Fundamentals

Why Solving Your Mathematical Model Is Essential for Insight and Validation

The article explains why obtaining concrete results from a mathematical model is crucial, covering how results clarify problem goals, enable verification, improve learning, and can be achieved through various solving techniques, including analytical and computational approaches.

computational methodsmathematical modelingmodel solving
0 likes · 5 min read
Why Solving Your Mathematical Model Is Essential for Insight and Validation
Model Perspective
Model Perspective
May 4, 2022 · Fundamentals

When and Why to Use Mathematical Modeling: Benefits, Limits, and Timing

This article examines the purpose of mathematical modeling, discusses whether problems can be solved without models, outlines the advantages of formalizing problems with clear variables and equations, and advises when adopting a modeling approach is most effective.

decision makingmathematical modelingmodeling benefits
0 likes · 6 min read
When and Why to Use Mathematical Modeling: Benefits, Limits, and Timing
Model Perspective
Model Perspective
Apr 26, 2022 · Fundamentals

How Can Lanchester Models Predict War Outcomes? A Step-by-Step Guide

This article introduces Lanchester's combat models—including conventional, guerrilla, and mixed war formulations—explains their assumptions and notation, provides a numerical example with force trajectories, and discusses the models' strengths and limitations for analyzing conflict dynamics.

Lanchester modelcombat dynamicsconflict analysis
0 likes · 7 min read
How Can Lanchester Models Predict War Outcomes? A Step-by-Step Guide
Model Perspective
Model Perspective
Sep 19, 2016 · Fundamentals

Designing an Engaging Intro to Mathematical Modeling for High Schoolers

After two introductory sessions, the instructor reflects on teaching a high‑school mathematical modeling course, describing the curriculum progression from basic equations to advanced models, the challenges of selecting materials, student responses, and plans for resources and continuous professional development.

Curriculum Designhigh schoolmathematical modeling
0 likes · 5 min read
Designing an Engaging Intro to Mathematical Modeling for High Schoolers
Model Perspective
Model Perspective
Mar 24, 2016 · Fundamentals

Why Effort Alone Isn’t Enough: Rethinking Innovation in Education

The article argues that merely working harder without understanding why, and focusing on test scores rather than real outcomes, hinders genuine learning and innovation, especially in mathematics modeling education, urging a shift toward evidence‑based, purpose‑driven teaching practices.

Innovationassessmenteffort
0 likes · 4 min read
Why Effort Alone Isn’t Enough: Rethinking Innovation in Education
Model Perspective
Model Perspective
Mar 7, 2016 · Fundamentals

Redefining Mathematical Modeling Examples: A Literature Review and Research Roadmap

This article reflects on the author’s thesis preparation, offering a detailed literature review of mathematical modeling concepts, analyzing the definition of modeling examples in high‑school textbooks, and outlining a three‑step research plan to evaluate and classify such examples for future educational design.

Literature Reviewexample analysishigh school education
0 likes · 9 min read
Redefining Mathematical Modeling Examples: A Literature Review and Research Roadmap
Model Perspective
Model Perspective
Mar 1, 2016 · Fundamentals

How Textbook Design Shapes Math Modeling Education: Key Insights from a University Guide

The article reflects on a university‑level textbook design guide, highlighting its proactive approach to curriculum creation, introductions to mathematical modeling, fuzzy‑logic evaluation models, the evolving teacher‑textbook relationship, experimental course design for graduate students, and Bloom’s taxonomy of teaching objectives.

Bloom's taxonomyeducation evaluationmathematical modeling
0 likes · 8 min read
How Textbook Design Shapes Math Modeling Education: Key Insights from a University Guide
Model Perspective
Model Perspective
Feb 20, 2016 · Fundamentals

What Is the Underlying Logic Behind Mathematical Modeling?

This article explains the logical steps of mathematical modeling—from problem definition, variable analysis, and quantification, through model selection, building, solving, and interpretation—highlighting how existing knowledge, appropriate model use, and honest reporting form the core of effective problem solving.

Model Selectionlogicmathematical modeling
0 likes · 6 min read
What Is the Underlying Logic Behind Mathematical Modeling?