[401 as of 4/7/20] A 6 objects in search of conjecture(s) Functions on the Domain of Shapes A 3D Protractor ? Functions on the Domain of Shapes Absolute value functions & quadrilaterals Families of functions A Bestiary of Curves [degree > 2] Families of functions A Car & 20 Questions: Parts I & II Modeling
& formulating
A Cube Removed From A Cube Functions on the Domain of Shapes Adding & subtracting uncertain measures Number Sense & Computation... Adult tickets & child tickets - I Modeling
& formulating Adult tickets & child tickets - II Modeling & formulating A False Combining Rates Problem Functions on the Domain of Shapes
A Line & An Hyperbola Families of functions Algebraic Tessellations Function as object Analog Clock Modeling & formulating Age Problem Calculator Modeling & formulating A Leaky Bathtub - a metaphor for... Modeling & formulating Physics Nuggets
Angle parameter space for Triangles Parameter spaces An Imposter Function Function as object An Interesting Overlap Functions on the Domain of Shapes
Annular ring Functions
on the Domain of Shapes Another weigh to go ! Modeling & formulating Physics nuggets A Puzzling Object Imagine A Puzzling Object - II Imagine A Puzzling Problem Modeling & formulating Archimedes’ Surprise Physics NuggetsArchimedes - triangle & parabolic segment Calculus applets Archimedes & the Volume of a Sphere Functions on the Domain of Shapes Aristotle's Wheel Physics Nuggets Area Perimeter Workbench Functions on the Domain of Shapes A Run for Two Modeling & Formulating Approximating Functions with polynomials Families of functions Assessing Understanding of Fraction Ordering Number Sense & Computation... A Swirl of Spirals Families of functions A Tale of Two Orbits Physics Nuggets Aubel's Theorem Functions on the Domain of Shapes B Bagels or Donuts Modeling & formulating Baton twirl Physics Nuggets Believing is Seeing Imagine... Between-ness in Addition & Subtraction Number
sense & Computation... Between-ness in Multiplication & Division Number
sense & Computation...
Beyond the Median Functions on the Domain of Shapes Bicycle Chain Math Modeling & formulating Binary Search: "Looking for a needle..." Number
sense & Computation... BOOMERANG ! Functions on the Domain of Shapes
Build & Fit – absolute value f'n I Families of functions Build & Fit – absolute value f'n II Families of functions Build & Fit – absolute value f'n III Families of functions Build & Fit – ellipse Families of functions Build & Fit – hyperbola Families
of functions Build & Fit – linear functions Families of functions Build & Fit – parabola Families of functionsBuild & Fit – quadratic functions Families of functions
Build a Triangle out of Altitudes Functions on the Domain of Shapes Build a Triangle out of Angle Bisectors Functions on the Domain of Shapes Build a Triangle out of Medians Functions on the Domain of Shapes Build a Triangle out of Medians - II Functions on the Domain of Shapes
Building an 'Imposter' Function Function as object Burning Tent on an Elliptical Island Functions on the Domain of Shapes
By All means! - averaging 2 numbers Number Sense & Computation... By All means! - averaging 3 numbers Number Sense & Computation... C Calculus workbench Families of functions Carnot's Theorem Functions on the Domain of Shapes Carpe diem - a day clock Modeling & formulating 'Circling the Square' Functions on the Domain of Shapes Circle in a triangle Functions on the Domain of Shapes
Circles & ellipses in the {radius,... Parameter Spaces
Circular & Hyperbolic Trig F'ns Families of functions
Circumsphere of a Tetrahedron Imagine...
Coffee Mixture Problem Modeling & formulating Coffee Mixture Problem - II Modeling & formulatingCoin Problem Workbench Modeling & formulating Combining rates - I - Joe & Sam paint... Modeling & formulatingCombining rates - I - Joe & Sam revisited Modeling & formulating Combining rates - upstream, downstream - I Modeling & formulating Combining rates - upstream, downstream - II Modeling & formulating Common Denominator Finder Parameter Spaces Number sense & Computation...Common Factor Finder Parameter Spaces Number sense & Computation...Composing Transformations Function as object Composing w/ Exponential & Logarithmic... Function as object Composition - same as Translation... ? Function as object Conic Sections in Parameter Space Parameter Spaces Conjectures about Complex roots... Function as object Conjectures about...part II Function as object Constructing Functions by sliding/… Families of functions Coupled Oscillators & Normal Modes Physics Nuggets Crowdedness Modeling & formulating Cubicality of Boxes Functions on the Domain of Shapes D Derivative explorer Families of functions Digital Handball Physics Nuggets
Dimes & Quarters I Modeling & formulating Dimes & Quarters II Modeling & formulating Dimes & Quarters for Teachers Modeling & formulating Disc-ness Modeling & formulating Disc Rolling on a Disc Functions on the Domain of Shapes Disc Rolling inside a Disc Functions on the Domain of Shapes Discovering Pythagoras Functions
on the Domain of Shapes Discovering the Law of Cosines Functions on the Domain of Shape Distances from three points Imagine... DIY estimation - addition Number Sense & Computation... DIY estimation - multiplication Number Sense & Computation... E Elliptical Billiard Table Functions on the Domain of Shapes 'Elliptical' Trigonometric Functions Families of Functions Equilateral-ness of Triangles Modeling & formulating
Erehwon Coinage Modeling & formulating Estimating Products - power drill Number
sense & Computation... Estimating Sums - power drill Number
sense & Computation... Even and Odd Functions - I Function
as Object Exploring the FOIL method Families
of functions Number
sense & Computation...
Exploring Ordering of Fractions Number
sense & Computation... Exponential Functions Families of Functions Exponential & Quadratic have a race Families of Functions Euler's line Functions on the Domain of Shapes F f(x) f'(x) puzzle Families of functions f(x)/f'(x) puzzle Families of functions f(x)+f'(x) puzzle Families of functions Factoring Quadratic Functions Families of functions Number
sense & Computation... Family Function Builder Families of functions Fill your oil tank - a problem posing... Modeling & Formulating Filling Revolutionary Vessels Functions on the Domain of Shapes Five Circles in a Square Functions on the Domain of Shapes Fregier's Theorem Functions on the Domain of Shapes Fuel Consumption Calculator Modeling & formulating “Fraction Workbench” Number
sense & Computation... Football & Handball in Parameter Space Physics Nuggets Parameter Spaces Forced Damped Oscillator Physics Nuggets
Function Attribute Explorer Function as Object …Function on the Space of Quadrilaterals Functions on the Domain of Shapes Function as Object – how they change I Function as Object Function as Object – how they change II Function as Object Function Table Builder Function as Object G Gardner's problem Functions on the Domain of Shapes Gear train Physics Nuggets Modeling & formulating Gelfand's Horse Physics Nuggets General word problem workbench Modeling
& formulating Generalizing the Marion Walter Theorem Functions on the Domain of Shapes Goldbach to and fro Imagine Good fits - Bad models Modeling & formulating Going On A Trip - a motion problem sandbox Modeling & formulating H Hemisphere, Cone, Cylinder Functions on the Domain of Shapes Horse tied to a barn Functions on the Domain of Shapes
Physics Nuggets Hens & Rabbits I Modeling & formulating Hens & Rabbits II Modeling & formulating Hens & Rabbits for Teachers Modeling & formulating Heron's formula Imagine How a DVD player works Modeling & formulating Physics Nuggets
How can f(x) equal f'(x) Modeling & formulating How similar are...Linear functions? Imagine How similar are...Quadratic functions? Imagine
I “…in a Square” Functions
on the Domain of Shapes Incenter finder Functions on the Domain of Shapes
Inscribing an Isosceles Triangle...I Functions on the Domain of Shapes Inscribing an Isosceles Triangle...II Functions on the Domain of Shapes Inverse Prime Factoring Number
sense & Computation... Inversion in a gold circle Functions on the Domain of Shapes Isosceles Triangles Parameter Spaces Isosceles Triangles - revisited Parameter Spaces Isosceles Triangle Factory Functions on the Domain of Shapes
J Jack & Jill Parameter Spaces Modeling & formulatingJoe T's theorem I Families of functions Joe T's theorem II Families of functions K Keeping Pace Modeling & formulating Physics Nuggets Kite space Parameter Spaces L Linear & Angular Velocity Physics Nuggets Linear Functions – parameter plane Parameter Spaces Linear functions & yellow bowties Families of functions Linear functions & quadrilaterals Families of functions Linear Inequalities Solved w/ Graphs &... Equations & Inequalities as… Lissajous – Physics Nuggets Locations on a Sphere Imagine... Functions
on the Domain of Shapes Logs in a Trough Functions on the Domain of Shapes M Make a Cyclic Quadrilateral Functions on the Domain of Shapes Many-answer addition Number
sense & Computation... Mary's round trip Modeling & formulating
Mean Value Theorem Function as object
Meeting Up – on the road with red & blue Modeling & formulating Monge's Theorem Functions on the Domain of Shapes Monkey drop Physics Nuggets Monkey drop in 3 frames of reference Physics Nuggets Monkey drop: space time diagram Physics Nuggets Monte Carlo Pi Modeling & formulating More about ladders Parameter
Spaces
Multiplying & dividing uncertain measurements Number
sense & Computation... Museum of Mathematics Exhibit Families of functions
N Napoleon’s Theorem Functions on the Domain of Shapes Newton & Aristotle: two ideas... Physics Nuggets NLAW - a game of kinematics Physics Nuggets Normal distribution & cumulative probability Physics Nuggets O One Quad = Four Triangles Functions on the Domain of Shapes One Million Dollars Number sense & Computation... Operations on Functions Function as Object Operations on Functions - II Function as Object Optimally Locating Public Services Functions on the Domain of Shapes Modeling & formulating Ordering Fractions Number
sense & Computation... Orthogonal Circles Functions on the Domain of Shapes
P Parallelogram Partition Functions on the Domain of Shapes Parallelogram space Parameter Spaces Parametric Polygon Explorer Parameter Spaces Parametric Polygon Synthesizer Parameter Spaces Parabolas between parabolas Families of functions
Peaucellier-Lipkin Linkage Functions on the Domain of Shapes Pebble stuck in a wheel Physics Nuggets Pebble stuck in a wheel - revisited Physics Nuggets Parameter Spaces Petals - a polar exploration Families of functions
Functions on the Domain of Shapes Place Value Decomposition Number
sense & Computation... Place Value - Decomposing Multiplication Number
sense & Computation... Planetary Orbits in Two Frames Modeling & formulating Physics Nuggets Plato's Dice Number
sense & Computation... Probability Playing with blocks Functions on the Domain of Shapes
Point in an Equilateral Triangle Functions on the Domain of Shapes Point in an Equilateral Triangle - revisited Functions on the Domain of Shapes Probability Point in a Regular Pentagon Functions on the Domain of Shapes Point in a Square Functions on the Domain of Shapes Polya and the 3 circles Functions on the Domain of Shapes Polya's Triangle Space Parameter Spaces Polygon Explorer Functions on the Domain of Shapes
Modeling & formulating Polygons in polygons Functions on the Domain of Shapes Polygon Synthesizer Functions on the Domain of Shapes Modeling & formulating Polygonal Numbers Modeling & formulating
Powers of Complex Numbers Families of functions Parameter Spaces Power to the Base Number
sense & Computation...
“…Princess and the Key” Modeling & formulating Physics Nuggets Projectile in Parameter Space Physics Nuggets Parameter Spaces Projectile with Air Resistance Modeling & formulating Physics Nuggets Projecting Quadrilaterals Functions on the Domain of Shapes Push Me - Pull You Physics Nuggets Q Quad in a Quad Functions on the Domain of Shapes Quadratic Inequalities Solved w/ Graphs &... Equations & Inequalities as… Quadratic Parameter Plane Parameter Spaces Quadrilateral Factory ? Functions on the Domain of Shapes Quadrilateral Invariant Functions on the Domain of Shapes Quadrature of the Lune Functions on the Domain of Shapes Quadrature of the Rectangle Functions on the Domain of Shapes Quadrature of the Triangle Functions on the Domain of Shapes R Radii ? Functions on the Domain of Shapes Rain gutter Modeling & formulating
Rational Functions & Asymptotic Behavior Function as Object Rational Numbers & Equivalent Fractions Parameter Spaces Real & Complex roots of Quadratic functions Function as Object Recovering from a long lunch Modeling & formulating Rectangles Parameter Spaces Rectangle space – width/height plane Parameter Spaces Rectangle space – area/perimeter plane Parameter Spaces Rectangularity of Parallelograms Modeling & formulating Regular Hexagon in a cube Functions on the Domain of Shapes Relations that Function Function as Object Rescue at Sea from an Elliptical Island Functions on the Domain of Shapes Reasoning about rates - Overlapping squ Functions on the Domain of Shapes
Reasoning about rates - Overlapping circles Functions on the Domain of Shapes Reasoning about rates - Yellow bowties Functions on the Domain of Shapes Reasoning about rates - Yellow bowties II Functions on the Domain of Shapes Rhomboidicity of Kites Modeling & formulating Rolling Disc Illusion Functions on the Domain of Shapes Rolling a line in 3D... Functions on the Domain of Shapes
Rotating Squares: an algebraic perspective Functions on the Domain of Shapes Rotating Squares: a geometric perspective Functions on the Domain of Shapes Round trips in maths; Non-invertable ops... Function as Object S Sales Optimizer Modeling & formulating Scaling the volume of a cone Functions on the Domain of Shapes Scaling the surface area of a cone Functions on the Domain of Shapes See-Saw - multiplying signed numbers Number
sense & Computation... 'Semi-graphical' solution of linear eqns. Equations & Inequalities as… Seven Functions on a Triangle Functions on the Domain of Shapes Ship Rendezvous Physics
Nuggets Shortest ladder Modeling & formulating
Single rotation replaces a rotation &... Functions on the Domain of Shapes Sir Isaac's Cars Physics Nuggets Sir Isaac's Slalom Physics Nuggets “…Sliding Ladder Problem” Modeling & formulating Physics NuggetsSmoothness Modeling & formulating Solving Linear Equations & Inequalities.. Equations & Inequalities as… Solving Quadratics Equations Graphically &... Equations & Inequalities as…
Spinners as "Super-dice" Number
sense & Computation... Probability Spirals Families of functions Square in a Triangle Functions on the Domain of Shapes Square in a Regular Tetrahedron Functions on the Domain of Shapes Squareness of Parallelograms Modeling & formulating Squareness of Rectangles Modeling & formulating Squareness of Rhombuses Modeling & Formulating Squareness of Rectangles - revisited Modeling & formulating Squaring’ the circle Families of functions Starting wave at a stop light Physics nuggets Steepness - a road up a mountain Modeling & Formulating Functions on the Domain of Shapes Steepness - another road up a mountain Modeling & Formulating Functions on the Domain of Shapes
Students define a median Functions
on the Domain of Shapes Sum of Circle Areas Modeling & formulating Sum of Polygonal Areas Modeling & formulating Functions on the Domain of Shapes Sum of two reflections Functions on the Domain of Shapes T The ABC's of QR Parameter Spaces Taking Sides Functions
on the Domain of Shapes The 1089 Puzzle Number Sense & Computation... The Array Model of Multiplication Number Sense & Computation... The Game of Arrows - adding signed numbers Number
sense & Computation... The Kite & The Lemniscate Functions on the Domain of Shapes The Locus of the Vertex Families of functions
The Roots of Unity Parameter Spaces The Repentant Reader Modeling & formulating The Repentant Reader - revisited Modeling & formulating The Parallelogram Factory Functions on the Domain of Shapes The Secret Life of Triangle Medians... Functions on the Domain of Shapes The Three Roots of a Cubic Function Function as Object The Two faces of Z Parameter Spaces There are planes & there are planes Parameter Spaces Three angles Functions on the Domain of Shapes Three Points on a Circle Parameter Spaces Probability Imagine… Three Similar Triangles Functions on the Domain of Shapes Three Tangent Circles Functions on the Domain of Shapes Three Mutually Tangent Circles Functions on the Domain of Shapes Three 'nearSQUARES' Functions on the Domain of Shapes Three Orthogonal Circles on a Triangle Functions on the Domain of Shapes Tic-Tact-Toe in 3D and 4D Imagine…
Town separation by road & crow Functions on the Domain of Shapes Transformations on Functions Function as Object
Triangle on 3 parallel lines Functions on the Domain of Shapes Triangle on 3 concentric circles Functions on the Domain of Shapes Two Analogous Problems Physics Nuggets
Two dimensional oscillatory motion in... Physics nuggets
Modeling & formulating Two lap average Modeling & formulating Two lap average - revisited Modeling & formulating Two lap average for Teachers Modeling & formulating Two metaphors - one model Modeling & formulating Two motions - One Path in Space Physics nuggets Parameter Spaces Modeling & formulating Two Planets & A Sun Modeling & formulating Two rectangles in a square Functions on the Domain of Shapes Two rectangles in a square II Functions on the Domain of Shapes Two trains and a fly Physics nuggets Turning sine into cosine Families of functions U UNsolve 2 variable Linear Equations... Equations & Inequalities as… UNsolve 2 variable Quadratic Equations... Equations & Inequalities as… UNsolving Linear Equations & Inequalities Equations & Inequalities as… UNsolving Linear Equations - Two views Equations & Inequalities as… UNsolving Quadratic Equations & Inequalities Equations & Inequalities as… UNsolving Cubic Equations Equations & Inequalities as… V v = dx/dt Modeling & formulating Physics Nuggets W Was Pythagoras wrong? Families of functions Was Pythagoras wrong? - related heresies Families of functions Functions on the Domain of Shapes Weigh to go ! Physics nuggets Modeling & Formulating ...when x is not an integer Families of functions When is AB equal to BA? Functions on the Domain of Shapes Windscreen Functions on the Domain of Shapes Word Problem Duo - Mass,Volume,Density Modeling
& formulating Word Problem Duo - Distance,Time,Rate Modeling & formulating Why is -2 x -3 equal to +6 ? Number Sense & Computation... Why Radians? Functions on the Domain of Shapes Y Yaglom's Road Functions on the Domain of Shapes Yin Yang Yin Functions on the Domain of Shapes Judah L. Schwartz  mathMINDhabits by Judah L. Schwartz is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. |