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Come fanno certe persone a lavorare così! Sono impressionata! Ma perché a me costa tanta fatica?
http://rashmikathuria.webs.com/apps/videos/channels/show/3549569-hands-on-mathematics-activities
movimento a matematica
http://new-twinspace.etwinning.net/c/portal/layout?p_l_id=34572675
geometria soprattutto
http://seekecho.blogspot.it

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Ottimo sito anche come guida per valutare le attività! Decisamente da proporre come lavoro di indagine in gruppo!

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Per le frazioni e per la simmetria è una buona attività per il sostegno. La simmetria con i lego ricorda la relazione punto punto

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Symmetry is one of those tricky concepts that is good to practice frequently. I love that nature produces lots of fun examples of symmetry -- one of my favorite is the butterfly. S and I spoke a little about this when we made her DIY Butterfly Wings last year, so I think my mind naturally settled on that example yet again.

LEGOs have such fun bright shapes and colors that I thought they would be perfect for having fun with symmetry. I set S up with a giant butterfly with sticky wings (to prevent frustration with bumping blocks) and two piles of various sized LEGO blocks on either side of her.

We talked about how to make the wings symmetric - to put the same colored and shaped LEGO in the same spot on each side of the butterfly's body. I made sure that each pile S was grabbing from had the same colors/sizes of LEGOs to make the process faster for her.

She had so much fun designing her butterfly. I only got to place two blocks myself - she had a lot of investment and a total plan for how this butterfly was going to look.

When it was nearly done, we found that it was easier to rotate the butterfly so that S could reach the blank spots on its wings more easily.

And voila! The finished masterpiece!

This post contains affiliate links for your convenience.

To make your own sticky butterfly, take a piece of posterboard (or cardboard) and fold it in half. Trace a wing on one side and cut out the butterfly. Add a body to the center, and if you'd like, some pipecleaner antennae. :) Then, using the back of some contact paper, trace the outline of each wing. Peel the paper off of the contact paper and place it sticky side up. Use some tape around the edges of the contact paper wing to hold it in place. The contact paper is not quite strong enough to hold the LEGOs if you hang the butterfly vertically on a wall, but it is strong enough to prevent the LEGOs from scattering as you work.

Here are the other fun ideas shared today:

Check back all this week for more fun ideas for playing and learning with LEGOs!

All activities here are activities I feel are safe for my own children. As your child's parents/guardians, you will need to decide what you feel is safe for your family. I always encourage contacting your child's pediatrician for guidance if you are not sure about the safety/age appropriateness of an activity. All activities on this blog are intended to be performed with adult supervision. Appropriate and reasonable caution should be used when activities call for the use of materials that could potentially be harmful, such as scissors, or items that could present a choking risk (small items), or a drowning risk (water activities), and with introducing a new food/ingredient to a child (allergies). Observe caution and safety at all times. The author and blog disclaim liability for any damage, mishap, or injury that may occur from engaging in any of these activities on this blog.

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Learning Symmetry with LEGOs and Butterflies

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Symmetry is one of those tricky concepts that is good to practice frequently. I love that nature produces lots of fun examples of symmetry -- one of my favorite is the butterfly. S and I spoke a little about this when we made her DIY Butterfly Wings last year, so I think my mind naturally settled on that example yet again.

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Per Pasqua magari! Devo procurarmi le forme coniche su internet

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The conic sections are the four classic geometric curves that can occur at the intersection between a cone and a plane: the circle, ellipse, parabola, and hyperbola.

The scone is a classic single-serving quick bread that is often served with breakfast or tea.

And, at the intersection of the two, we present something entirely new, delightfully educational, and remarkably tasty: Sconic Sections.

In what follows, we'll show you how to bake cone-shaped scones, to slice them into plane geometric curves, and to highlight those curves by selective application of toppings. We'll also discuss some of the methods that didn't work so well, as we refined our methods for making these.

Onwards, towards parabolic preserves and hyperbolic Nutella!
Constructing your Cones
The key to this recipe is creating cone-shaped scones, and the method is to use conical water cooler cups as baking wrappers. We got this idea from the Partiologist, who used them for snow cone cupcakes. These ones are by Solo and they're available at restaurant supply stores. Since they haven't been treated with a non-stick coating, she also suggested spraying them with a bit of non-stick cooking oil. You will also need mason jars to steady the cones while they bake, or one of several substitutes that we'll discuss later.

We tried simply rolling the dough into a free standing cone and baking it like you would normally do with a scone. However, the shape distorted and tore during baking, in the way that scones normally split when they rise. If cone-shaped muffin tins were available, those would probably be a great solution. Although we will use the paper cups in our recipe, it may also be possible to use Silicone Snow Cone Cups if they are rated for baking temperatures.

The first step is to make scone dough. You can use any standard scone recipe- or use ours based on a recipe from Paul Hollywood's 100 Great Breads. Preheat the oven to 425° F. Mix the following ingredients in a bowl:

4 cups flour

1/3 cup sugar

4 1/2 teaspons baking powder

2 eggs, beaten

3/4 stick of butter, softened

1 cup milk

Pull off a golf-ball sized piece of dough and roll it into a smooth ball. Roll the ball into a steep point. You want it to be a sharper angle than the walls of the paper cone, so that the point will make it as far into the cone as possible.

Spray the inside of the cone with the non-stick cooking spray. Press the dough into the paper cone until the top surface is flat. The dough should come about half-way up a six ounce cone.

Place the cone in a wide mouth pint canning jar to hold it upright during baking. Putting the jars on a baking sheet makes putting them in the oven much easier.

Bake for about 17 minutes- until the tops just begin to brown. The scones should be domed on top when they're done, and the paper may be browned as well.

Allow the scones to fully cool, and remember the first rule of laboratory work: hot glass looks exactly the same as cold glass.

The scones should slide easily out of the paper cones leaving an ice cream cone shaped scone with a smooth cone and rough bulbous base.
Aside: do you need the non-stick spray?
We wondered how necessary the non-stick spray actually was. When cooked without the spray, the paper cone had to be peeled off of the scone, similar to what you get with a cupcake wrapper. Peeling it off left an uneven surface texture instead of a smooth cone shape. The point of the cone usually broke off in the process as well. The spray also made it easier to press the dough into the cone, so it was an all-around win.
Aside: Why mason jars?
When baking conical things, there are many possible methods for holding the cone upright. We tried using a jalapeno grill rack. We found that it left a dark ring where the metal of the rack transferred more heat to the scone, browning it selectively there. Bakers of snow-cone cupcakes have also reported using tin cans, muffin tins filled with dried beans, wire ice cream cone holders, and even a dedicated ice cream cone cupcake baking rack (available on amazon). We found that the wide mouth pint jar was the perfect height and diameter to hold the lip of the cone. The glass insulates the scones as well, decreasing the amount of browning, especially at the narrow tip. It gave a very even surface appearance to the cone. If you used the smaller four ounce cones, you should be able to use regular canning jars instead of wide mouth for holding them during baking.
Aside: Why not just flip it over?
We tried filling the entire paper cone with dough and baking it upside down. This led to needing a much longer baking time and created a more browned surface. Note that the narrow part of the scone is much, much darker. The scone also rose significantly, but not straight, leading to the splatted ice cream cone shape above, somewhat reminiscent of a clown cone.
Aside: Can we defeat the bulbous end?
Since the smaller scones baked upright in jars were coming out with a domed top, we wondered if pushing the dough up the edge of the cone to form an indentation prior to baking would counteract that, leading to a larger cone to work with. It turned out that the thin sections around the edge cooked more quickly, and as the rest of the scone expanded, the more cooked ring split off at an angle. It didn't provide any more smooth cone volume in the final product, so reshaping the top was not worth the effort.
Final aside: Eggwashing & browned bottoms
We like eggwashed scones, so we also tried out a glazed finish, which turned out very well on some of our trial subjects. After baking, slice the dome off of the scone, then place on a baking pan lined with parchment and brush with beaten egg. Return to the 425° F oven for a few minutes. The circular base will get nice and toasty, and the surface of the cone will have a glossy sheen.

(The dark ring one quarter of the way up on the left-hand scone is from baking this one in the jalapeno grill rack.)

Now that we've figured out the best way to get a uniform cone baked, the next step is to cut the bulbous dome off of all of our scone cones with a bread knife. Take great care to cut exactly horizontally through the cone so as to leave a circular base.

Now we have two parts: a nearly perfect cone (for sectioning) and a nearly perfect scone (for eating). The domed scone tops aren't useful for geometry, but still taste just as good.

Pro-tip: microwave your scones for about 10 seconds prior to serving to restore an oven-fresh temperature and texture.
Sectioning the scones
Now that your scone cones are ready, it's time to section them.

A circle is the most obvious cut- in fact, you've already done it when taking off the top. Slice parallel to the base.

The ellipse is cut at a steeper angle, but still forms a closed curve.

The parabola is cut parallel to the edge of the cone. When the larger portion of the parabolically cut cone is lying down, the cut surface will be parallel to the plate.

The easiest (and most iconic) hyperbola is cut vertically. Once the pieces are moved apart, you can see the outline of the hyperbola clearly.
Highlighting the curves
There are really two parts to a hyperbola, where a plane intersects a double cone. To illustrate this, cut identical sections from two cones and arrange them so that their asymptotes coincide.

To highlight the shapes even further, you can color in the cut surfaces with your favorite scone topping. Here, raspberry preserves show off a hyperbolic cut.

Nutella is another tasty choice, if a bit eccentric.

You can make a complete set of all four sconic sections: circle, ellipse, parabola and hyperbola. The jam shows off the edges of the sections as clearly as a textbook diagram.
If you liked this project you may also enjoy:
Suggested serving size: one set of four pieces. Serve in an open or closed geometry.

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Play with your food: How to Make Sconic Sections

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The conic sections are the four classic geometric curves that can occur at the intersection between a cone and a plane: the circle, ellipse, parabola, and hyperbola. The scone is a classic single-serving quick bread that is often served with breakfast or tea.

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Proporzioni del corpo e uomo di Vitruvio

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Proporzioni del corpo e uomo di Vitruvio

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Si lavorerebbe sui rapporti, unendo il rinascimento in arte e l’educazione alimentare. Bello il confronto con la Barbie

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Creare una coreografia si che mi piace! Un progetto con un’associazione! (fermento etnico?) Bello anche per le scuole elementari, è lì che andrebbe iniziata una matematica pratica. Istituto comprensivo perché?
http://geometrycoach.com/geometry-games-dance-dance-transversal/

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How I Teach Math & Dance at the Same Time

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Il gioco dei mimi in matematica. Lo avevo proposto per la geometria ma in effetti misto è meglio. E’ veramente divertente ma qual’è l’obiettivo disciplinare?

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Invece di una lezione sul libro o una dimostrazione alla cattedra penso che cercherò delle domande da porre tipo:
Possono due rette non parallele non incontrarsi mai? Provate con due matite.
Immaginate un palo della luce, siete d’accordo che è perpendicolare al suolo? Puo un segmento non perpendicolare formare angoli retti con un piano? Aiutatevi con una matita e il banco.
OK!
Si può continuare andando a studiare la possibilità di disegnare linee rette su superfici anche curve. Si possono prendere oggetti come modelli di solidi di rotazione e prismi su cui scrivere con un pennarello

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Sarebbe carino un progetto pomeridiano di approfondimento di questo tipo. Quanto questo aiuti i ragazzi a automatizzare procedimenti di calcolo non lo so. Il problema è sempre quello dell’uso del tempo di lezione. Organizzandosi con altri colleghi è più facile ma trovare collaborazione per la matematica no.
http://ww2.kqed.org/mindshift/2015/11/19/how-turning-math-into-a-maker-workshop-can-bring-calculations-to-life/
Makey makey è il regalo per Luca.

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MaKey MaKey - An Invention Kit for Everyone

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costruire un modellino per introdurre lo studio del moto!

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costruire un modellino per introdurre lo studio del moto!

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Richiede molte ore di laboratorio ma sarebbe molto interessante! Poi collegato con i rover sulla Luna!
Un pò troppo ambizioso per le medie ma utile per qualche studente invece è il progetto di questo razzo.

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The Spacecraft Race_2014_7C - Free download as PDF File (.pdf), Text File (.txt) or view presentation slides online.

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carino questo meccanismo com l’elastico!!

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Video about Thales theorem, how to use it.

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In effetti un prossimo anno si può pensare ad un laboratorio arte-tecnologia-matematica per il mercatino di Natale. Le idee non mancano

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Creating Fractal Christma(th)s Trees For the Visual Intelligence

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Ecco il mio progetto!!!
Questo è una bella occasione per pensare come un matematico e sperimentare con i poligoni! Direi la fine della classe 1°

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Orange is the New Black is the new black, at least as far as Netflix viewers are concerned. The women-in-prison dramedy may have premiered in 2013, but it's still got viewers hooked. Just as they did in 2017, HighSpeedInternet.com took a deep dive into Netflix analytics using Google Trends to find out which shows people in each state were searching Netflix for throughout the year. While there was a little bit of crossover between 2016 and 2017, new series like American Vandal and Mindhunter gave viewers a host of new content. But that didn't stop Orange is the New Black from dominating the map; it was the most searched show in 15 states.

Coming in at a faraway second place was American Vandal, a new true crime satire that captured the attention of five states (Illinois, Kansas, Massachusetts, Minnesota, and Wisconsin). Even more impressive is the fact that the series premiered in mid-September, meaning that it found a large and rabid audience in a very short amount of time.

Folks in Alaska, Colorado, and Oregon were all destined to be disappointed; Star Trek: Discovery was the most searched-for series in each of these states, but it's not yet available on Netflix in America (you've got to get CBS All Access for that, folks). Fourteen states broke the mold a bit with shows that were unique to their state only; this included Big Mouth in Delaware, The Keepers in Maryland, The OA in Pennsylvania, GLOW in Rhode Island, and Black Mirror in Hawaii.

Check out the map above to see if your favorite Netflix binge-watch matches up with your neighbors'. For more detailed findings, visit HighSpeedInternet.com.

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Mathematician Shows How to Make Any Shape From a Single Cut

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Orange is the New Black is the new black, at least as far as Netflix viewers are concerned. The women-in-prison dramedy may have premiered in 2013, but it's still got viewers hooked. Just as they did in 2017, HighSpeedInternet.com took a deep dive into Netflix analytics using Google Trends to find out which shows people in each state were searching Netflix for throughout the year.

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puzzle logici e numeri da stampare e tenere a disposizione in classe.

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Printable puzzles. Thousands of 'em. All free.

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Ma dove le ha trovate tutte queste idee! e quanto tempo richiede di lezione per costruirle?

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I know, I know. Go Look in My (Interactive) Notebook....

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Interactive notebooks have saved my sanity! I need to send heartfelt thanks to Sarah Carter of Math=Love. Hers was the first blog I found on interactive notebooks and even better, it was about algebra! For the last two years, my students and I have been cutting, folding, writing, gluing and learning as we build our notebooks.

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Divertente gioco per attirare l’attenzione prima di introdurre i solidi ma come lo spiego l’effetto? video da vedere in classe e ricostruire a casa perché hanno bisogno di uno specchio!

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Make Your Own Impossible Cylinder--Mathematical Association of America's Math Horizons

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DIY your own mathematical optical illusion! Download this printable template (pdf) from the Mathematical Association of America: http://bit.ly/ImpossibleCylinder Read about the mathematics behind this illusion in "Sugihara's Impossible Cylinder" (David Richeson, Math Horizons, September 2016, pp. 18-19, http://www.maa.org/MathHorizons. Math Horizons is a publication of the Mathematical Association of America).

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Feci una volta in uscita qualcosa del genere per spiegare ai ragazzi come la diversità in specie diventi maggiori connessioni e quindi maggiore stabilità! Potrei anticipare l’esperienza con questa relativa al calcolo combinatorio e mostrare come le scienze usino concetti matematici. Può essere usato per mettere in evidenza la comunicazione in una classe. E’ simile a trovare il numero di diagonali in un poligono. Fine anno con la classe 1°!!!

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Learning about graphs, formulas with movement

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in genere uso un batterio che si divide o un immaginario sandwich tagliato e sovrapposto ma partire da un foglio da piegare ripetutamente e riaprire è più concreto. Si potrebbe prendere spunto dallo spessore per un banco traballante e andare a cercare quante volte dovrei piegarlo per arrivare sulla Luna!

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E’ la prima volta che vedo farlo con gli origami! Ho appena dato ai ragazzi il compito di costruire un pavimento con un triangolo rettangolo e i quadrati costruiti sui lati. Domani al ritorno potrei fargli piegare il foglio e fargli vedere che anche così costruiscono un pavimento e da lì dimostrare il teorema!?

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Origami Proof of the Pythagorean Theorem

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La teoria delle intelligenze multiple di Gardner

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La teoria delle intelligenze multiple di Gardner

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In versione fumetto! Chissà che intelligenza ho o mi è rimasta?
http://farm3.static.flickr.com/2590/3851631856_f17eb25bd4_o.jpg
Per una visione comprensibile ma un peletto più seria e qualche esempi di strumenti per attività online.
http://www.surfaquarium.com/MI/profiles/index.htm
Pare che al momento attuale le mie intelligenze più sviluppate siano Intrapersonale/Esistenziale/Chinestetica/Visuale

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Alcuni riferimenti utili da sfogliare
http://www.countrysideclassroom.org.uk/resources/689
http://eratosthenes.ea.gr/en/content/experiment
Personalmente preferisco usare la statistica su qualcosa di più vicino ai ragazzi delle foglie.
https://docs.google.com/presentation/d/16buL0NlsiUPamMgHX8DyMY_0L0gfhpC7HxthlFKFPwY/present?ueb=true&slide=id.g994cdc3db_0_202

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Giocare con angoli e distanze in giardino, che bello

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Math explained in easy language, plus puzzles, games, quizzes, worksheets and a forum. For K-12 kids, teachers and parents.

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Ecco un esempio di percorso svolto! Ma il progetto etwinning GOAL è incredibile!
http://new-twinspace.etwinning.net/c/portal/layout?p_l_id=10564587

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Publishing platform for digital magazines, interactive publications and online catalogs. Convert documents to beautiful publications and share them worldwide. Title: Orienteering For Erasmus, Author: Alessandra Basso, Length: 50 pages, Published: 2016-09-13

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Il video è affascinante anche per la musica