Inchies created frames using 5x5 inchies and smaller frames with 16 inchies each. A total of 7 picture frames were made along with 3 smaller ones. The artwork will be sold to support a good cause.
Crop circles first appeared in the 1980s in farmers' fields in the UK and reports of them spread over the following decade across the world. The patterns were often geometric and complex, leading to theories that they were created by aliens, though they were likely human-made. Students used GeoGebra to model dynamic crop circles, though some geometries were too complex to create dynamically. Their files were uploaded to a GeoGebra project page on crop circles.
This document appears to be a summary of responses from participants in an educational project involving math, geometry, and art created using GeoGebra. Based on multiple choice questions, participants expressed that they enjoyed activities combining geometry and art like the "Geo carpet" and geometric animations. They felt it helped students who struggle with math and that they would like to implement similar projects in their own classrooms.
Christmas in Italy has many traditions and symbols with ancient origins. Families decorate Christmas trees together and Santa leaves presents on Christmas night. Another tradition is the nativity scene, which depicts the birth of Jesus with figures like Mary, Joseph, the magi, and animals. On December 26th, people visit local nativity scenes and make donations. Christmas lunch on the 25th emphasizes family, food, and affection with rich, quality meals including roast meats and stuffed pastas. The Epiphany on January 6th is dedicated to children, as the Befana visits and fills their socks with sweets or coal depending on their behavior.
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive functioning. Exercise causes chemical changes in the brain that may help boost feelings of calmness, happiness and focus.
Inchies created frames using 5x5 inchies and smaller frames with 16 inchies each. A total of 7 picture frames were made along with 3 smaller ones. The artwork will be sold to support a good cause.
Crop circles first appeared in the 1980s in farmers' fields in the UK and reports of them spread over the following decade across the world. The patterns were often geometric and complex, leading to theories that they were created by aliens, though they were likely human-made. Students used GeoGebra to model dynamic crop circles, though some geometries were too complex to create dynamically. Their files were uploaded to a GeoGebra project page on crop circles.
This document appears to be a summary of responses from participants in an educational project involving math, geometry, and art created using GeoGebra. Based on multiple choice questions, participants expressed that they enjoyed activities combining geometry and art like the "Geo carpet" and geometric animations. They felt it helped students who struggle with math and that they would like to implement similar projects in their own classrooms.
Christmas in Italy has many traditions and symbols with ancient origins. Families decorate Christmas trees together and Santa leaves presents on Christmas night. Another tradition is the nativity scene, which depicts the birth of Jesus with figures like Mary, Joseph, the magi, and animals. On December 26th, people visit local nativity scenes and make donations. Christmas lunch on the 25th emphasizes family, food, and affection with rich, quality meals including roast meats and stuffed pastas. The Epiphany on January 6th is dedicated to children, as the Befana visits and fills their socks with sweets or coal depending on their behavior.
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive functioning. Exercise causes chemical changes in the brain that may help boost feelings of calmness, happiness and focus.
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive function. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms for those who already suffer from conditions like anxiety and depression.
The Advent calendar has 24 doors that open each day from December 1st to 24th, with a surprise behind each door in preparation for Christmas. The Christmas tree in Dortmund, Germany is the tallest in the world at 45 meters high and weighs 40,000 kg, with 1700 spruces. Most people decorate their Christmas trees with colorful ornaments like loops, stars, and candles that have been a tradition for 500 years. In Germany, popular Christmas foods include goose, sausages with potatoes and tomatoes, and roast pork.
1. The document provides instructions for 6 encryption tasks: preparing a message for encryption, encrypting a message with Caesar cipher using a shift of 3, decrypting a message encrypted with Caesar cipher of unknown shift, finding a hidden message in text about cryptology, decoding a word using a reordered list of items, and encrypting a message with a one-time pad cipher using a key related to a European educational project.
2. It explains that Caesar cipher replaces each letter with one 3 positions further in the alphabet and gives an example of decrypting a message using a table of all possible shifts.
3. It also explains that steganography hides the very existence of a message and one-time pad cipher is
Breakfast habits vary widely across Europe. In some countries like Spain and Portugal, people tend to eat a light breakfast of coffee or tea with a pastry or toast. However, in places such as Germany and the Nordic nations, breakfast is a hearty meal that might include eggs, cold cuts, cheese, and various breads. Teachers in Europe are evaluated in different ways depending on the country, but student performance is often an important factor along with classroom observations by other teachers or school administrators.
The document contains introductions from several students between 11-12 years old describing their typical school breakfasts. Most of the students have healthy options like fruit, bread, cheese and juice. Some mention occasionally having sweets like waffles or glucose. The breakfasts aim to provide nutrition to help the students concentrate at school.
This document surveys students about their breakfast habits. It finds that most students (40) always have breakfast before school, with the majority (25) taking 15 minutes to eat. The most popular drinks are tea (16) and water (5). Common breakfast foods include butter (20), ham (22), and cornflakes (12). Most students (35) always have a second breakfast at school, usually a sandwich prepared at home (24). Many students' (24) morning school habits vary daily. Most drink water (6) or tea (10) at school. Most students (28) find breakfast at school to be tasty.
Michałowo is a small town in east Poland with a population of 3,107 people located 40 kilometers from Białystok. The town has a Roman Catholic church from 1909, an Orthodox church from 1907, a primary school with 350 students and 45 teachers, and a swimming pool next to the primary school.
This document discusses cryptography and art, providing an encoded message using the letter numbers from the English alphabet (A=65, B=66 etc.) to spell out a Christmas greeting, the initials A.M.E., and a link to an online example combining cryptography and art using Geogebra.
Only certain stars can be created by folding a square and cutting off a tip, specifically a four-pointed, six-pointed, or eight-pointed star. The document instructs students to first imagine which stars can be made this way, then try it out using origami paper squares to see if they can create the star they envisioned. Additionally, the document describes creating six or eight-pointed stars through stitch art by wrapping colored thread in patterns, and demonstrates how GeoGebra can be used to generate different star shapes programmatically.
Polygon art and golden ratio inspired by Piet mondrianMonika Schwarze
The document outlines a cross-curricular lesson plan combining math and visual arts for 5th grade students. The lesson introduces students to the Golden Ratio and Fibonacci sequence by having them play with patterns. It then shows how to draw the Golden Ratio and how Piet Mondrian used it in his artworks. Students create their own Mondrian-inspired artwork by cutting polygons in a Golden Ratio format and arranging them with lines on a sheet. The lesson aims to teach the concepts of the Golden Ratio and Fibonacci sequence and how to apply them in structuring artwork.
Students in grades 5 and 6 participated in an afternoon math and art club where they used GeoGebra to explore geometric concepts. Each student carved a pentagon into triangles in a unique way, then used a tool to construct the inner circles and calculate the sum of the radii. To their surprise, every student found that the sum was the same number (3.88), despite the different triangle arrangements within the pentagons. The students then colored their designs and combined them into a single artwork, discovering that the theorem about the constant sum of radii holds true for any polygon with more than 3 points.
The document summarizes the ICT World 2017 annual eTwinning conference in Warsaw 2018. The conference discussed an Erasmus+ project from 2016-2019 called ICT World that aims to introduce computer science concepts like imaging, coding, and simulation to students in a motivating way. The project involves partner schools collaborating by communicating via email and a twinspace platform, completing common and competitive tasks, and exchanging teaching ideas to improve students' ICT skills, languages, social skills, and sense of European identity.
This document provides a technical vocabulary list of common tools, machines, hardware materials, mechanical parts, and electronic terms used in technical work. The list includes tools like wrenches, screwdrivers, and pliers, machines like belt sanders, and electronic components such as batteries, amplifiers, power, and ground. The document encourages adding to the vocabulary to expand knowledge of technical terms.
This document provides information about schools participating in an E-Twinning Christmas card project in 2018. It lists the name and contact information for teachers from schools in France, Romania, Italy, Poland, Greece, Croatia, Germany, and Poland along with the number of students and classes involved from each school. In total over 400 students from over 30 classes across 10 schools in 8 countries were participating in the project.
During an 8-month period, students will create a Math Art Corner in their school featuring art incorporating math concepts like dots, lines, shapes, symmetry, and more. Each month focuses on a different concept. Students from partner schools will exchange some pieces bi-monthly. Additionally, students will collaboratively build 3D models of historical objects from their cities in stages. An e-book of all creations and lessons will be compiled at the end. The project involves monthly art activities, communication on forums, and sharing of works between schools.
Teaching and Learning Experience Design – der Ruf nach besserer Lehre: aber wie?Isa Jahnke
Der Ruf danach, dass es bessere Lehre geben muss oder das Lehre verbessert werden sollte, ist nicht neu. Es gibt auch schon seit längerer Zeit Rufe danach, dass Lehre der Forschung in Universitäten gleichgestellt werden soll. (Und in den letzten Jahren ist in Deutschland auch einiges an positiven Entwicklungen geschehen, z.B. durch die Aktivitäten des Stifterverbands). Wie kann die Verbesserung der Lehre weitergehen? Fehlt etwas in dieser Entwicklung? Ja, sagt dieser Beitrag, der zum Nachdenken und Diskutieren anregen soll. In diesem Beitrag wird ein forschungsbasierter Ansatz zur Diskussion gestellt. Es wird argumentiert, dass Lehre nur dann besser wird, wenn es mit den Prinzipen der Wissenschaft und Forschung angegangen wird (d.h. gestalten, Daten erheben, auswerten, verbessern). Es benötigt neue Verhaltensregeln oder -prinzipien bei der Gestaltung von Lehrveranstaltungen. Das bedeutet zum Beispiel das Prinzipien der Evidenzbasierung und wissenschaftliche Herangehensweisen im Lehr-Lerndesign als zentrales Fundament etabliert werden sollte. Evidenzbasierung hier meint, folgt man der Logik der Forschung, dass Lehrveranstaltungen als Intervention verstanden werden. Mit dieser Intervention werden Studierende befähigt, bestimmte vorab festgelegte Kompetenzen zu entwickeln. Und die Frage, die sich bei jeder Lehr-Lernveranstaltung dann stellt, ist, ob diese Objectives bzw. Learning Outcomes auch erreicht wurden. Klar ist, dass die subjektive Lehrevaluation der Studierenden oder auch die Notengebnung nicht ausreichen, um diese Frage zu beantworten. Hierfür gibt es eine Reihe von Methoden, die genutzt werden können, z.B. aus dem Bereich des User- / Learning Experience Design. Diese Methoden umfassen unter anderem Usability-Tests, Learner Experience Studies, Pre-/Post-Tests, und Follow-up Interviews. Diese können zur Gestaltung und Erfassung von effektiven, effizienten und ansprechenden digitalen Lerndesigns verwendet (Reigeluth 1983, Honebein & Reigeluth, 2022).
Der Beitrag will die Entwicklung zur Verbesserung von Lehre weiter pushen. Neue Ideen in die Bewegung bringen. Als Gründungsvizepräsidentin der UTN hab ich die Chance, hier ein neues Fundament für eine gesamte Uni zu legen. Wird das Gelingen? Ist dieser Ansatz, den ich hier vorstelle, eine erfolgsversprechende Option dafür? Hier können sich die TeilnehmerInnen an dieser Entwicklung beteiligen.
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive function. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms for those who already suffer from conditions like anxiety and depression.
The Advent calendar has 24 doors that open each day from December 1st to 24th, with a surprise behind each door in preparation for Christmas. The Christmas tree in Dortmund, Germany is the tallest in the world at 45 meters high and weighs 40,000 kg, with 1700 spruces. Most people decorate their Christmas trees with colorful ornaments like loops, stars, and candles that have been a tradition for 500 years. In Germany, popular Christmas foods include goose, sausages with potatoes and tomatoes, and roast pork.
1. The document provides instructions for 6 encryption tasks: preparing a message for encryption, encrypting a message with Caesar cipher using a shift of 3, decrypting a message encrypted with Caesar cipher of unknown shift, finding a hidden message in text about cryptology, decoding a word using a reordered list of items, and encrypting a message with a one-time pad cipher using a key related to a European educational project.
2. It explains that Caesar cipher replaces each letter with one 3 positions further in the alphabet and gives an example of decrypting a message using a table of all possible shifts.
3. It also explains that steganography hides the very existence of a message and one-time pad cipher is
Breakfast habits vary widely across Europe. In some countries like Spain and Portugal, people tend to eat a light breakfast of coffee or tea with a pastry or toast. However, in places such as Germany and the Nordic nations, breakfast is a hearty meal that might include eggs, cold cuts, cheese, and various breads. Teachers in Europe are evaluated in different ways depending on the country, but student performance is often an important factor along with classroom observations by other teachers or school administrators.
The document contains introductions from several students between 11-12 years old describing their typical school breakfasts. Most of the students have healthy options like fruit, bread, cheese and juice. Some mention occasionally having sweets like waffles or glucose. The breakfasts aim to provide nutrition to help the students concentrate at school.
This document surveys students about their breakfast habits. It finds that most students (40) always have breakfast before school, with the majority (25) taking 15 minutes to eat. The most popular drinks are tea (16) and water (5). Common breakfast foods include butter (20), ham (22), and cornflakes (12). Most students (35) always have a second breakfast at school, usually a sandwich prepared at home (24). Many students' (24) morning school habits vary daily. Most drink water (6) or tea (10) at school. Most students (28) find breakfast at school to be tasty.
Michałowo is a small town in east Poland with a population of 3,107 people located 40 kilometers from Białystok. The town has a Roman Catholic church from 1909, an Orthodox church from 1907, a primary school with 350 students and 45 teachers, and a swimming pool next to the primary school.
This document discusses cryptography and art, providing an encoded message using the letter numbers from the English alphabet (A=65, B=66 etc.) to spell out a Christmas greeting, the initials A.M.E., and a link to an online example combining cryptography and art using Geogebra.
Only certain stars can be created by folding a square and cutting off a tip, specifically a four-pointed, six-pointed, or eight-pointed star. The document instructs students to first imagine which stars can be made this way, then try it out using origami paper squares to see if they can create the star they envisioned. Additionally, the document describes creating six or eight-pointed stars through stitch art by wrapping colored thread in patterns, and demonstrates how GeoGebra can be used to generate different star shapes programmatically.
Polygon art and golden ratio inspired by Piet mondrianMonika Schwarze
The document outlines a cross-curricular lesson plan combining math and visual arts for 5th grade students. The lesson introduces students to the Golden Ratio and Fibonacci sequence by having them play with patterns. It then shows how to draw the Golden Ratio and how Piet Mondrian used it in his artworks. Students create their own Mondrian-inspired artwork by cutting polygons in a Golden Ratio format and arranging them with lines on a sheet. The lesson aims to teach the concepts of the Golden Ratio and Fibonacci sequence and how to apply them in structuring artwork.
Students in grades 5 and 6 participated in an afternoon math and art club where they used GeoGebra to explore geometric concepts. Each student carved a pentagon into triangles in a unique way, then used a tool to construct the inner circles and calculate the sum of the radii. To their surprise, every student found that the sum was the same number (3.88), despite the different triangle arrangements within the pentagons. The students then colored their designs and combined them into a single artwork, discovering that the theorem about the constant sum of radii holds true for any polygon with more than 3 points.
The document summarizes the ICT World 2017 annual eTwinning conference in Warsaw 2018. The conference discussed an Erasmus+ project from 2016-2019 called ICT World that aims to introduce computer science concepts like imaging, coding, and simulation to students in a motivating way. The project involves partner schools collaborating by communicating via email and a twinspace platform, completing common and competitive tasks, and exchanging teaching ideas to improve students' ICT skills, languages, social skills, and sense of European identity.
This document provides a technical vocabulary list of common tools, machines, hardware materials, mechanical parts, and electronic terms used in technical work. The list includes tools like wrenches, screwdrivers, and pliers, machines like belt sanders, and electronic components such as batteries, amplifiers, power, and ground. The document encourages adding to the vocabulary to expand knowledge of technical terms.
This document provides information about schools participating in an E-Twinning Christmas card project in 2018. It lists the name and contact information for teachers from schools in France, Romania, Italy, Poland, Greece, Croatia, Germany, and Poland along with the number of students and classes involved from each school. In total over 400 students from over 30 classes across 10 schools in 8 countries were participating in the project.
During an 8-month period, students will create a Math Art Corner in their school featuring art incorporating math concepts like dots, lines, shapes, symmetry, and more. Each month focuses on a different concept. Students from partner schools will exchange some pieces bi-monthly. Additionally, students will collaboratively build 3D models of historical objects from their cities in stages. An e-book of all creations and lessons will be compiled at the end. The project involves monthly art activities, communication on forums, and sharing of works between schools.
Teaching and Learning Experience Design – der Ruf nach besserer Lehre: aber wie?Isa Jahnke
Der Ruf danach, dass es bessere Lehre geben muss oder das Lehre verbessert werden sollte, ist nicht neu. Es gibt auch schon seit längerer Zeit Rufe danach, dass Lehre der Forschung in Universitäten gleichgestellt werden soll. (Und in den letzten Jahren ist in Deutschland auch einiges an positiven Entwicklungen geschehen, z.B. durch die Aktivitäten des Stifterverbands). Wie kann die Verbesserung der Lehre weitergehen? Fehlt etwas in dieser Entwicklung? Ja, sagt dieser Beitrag, der zum Nachdenken und Diskutieren anregen soll. In diesem Beitrag wird ein forschungsbasierter Ansatz zur Diskussion gestellt. Es wird argumentiert, dass Lehre nur dann besser wird, wenn es mit den Prinzipen der Wissenschaft und Forschung angegangen wird (d.h. gestalten, Daten erheben, auswerten, verbessern). Es benötigt neue Verhaltensregeln oder -prinzipien bei der Gestaltung von Lehrveranstaltungen. Das bedeutet zum Beispiel das Prinzipien der Evidenzbasierung und wissenschaftliche Herangehensweisen im Lehr-Lerndesign als zentrales Fundament etabliert werden sollte. Evidenzbasierung hier meint, folgt man der Logik der Forschung, dass Lehrveranstaltungen als Intervention verstanden werden. Mit dieser Intervention werden Studierende befähigt, bestimmte vorab festgelegte Kompetenzen zu entwickeln. Und die Frage, die sich bei jeder Lehr-Lernveranstaltung dann stellt, ist, ob diese Objectives bzw. Learning Outcomes auch erreicht wurden. Klar ist, dass die subjektive Lehrevaluation der Studierenden oder auch die Notengebnung nicht ausreichen, um diese Frage zu beantworten. Hierfür gibt es eine Reihe von Methoden, die genutzt werden können, z.B. aus dem Bereich des User- / Learning Experience Design. Diese Methoden umfassen unter anderem Usability-Tests, Learner Experience Studies, Pre-/Post-Tests, und Follow-up Interviews. Diese können zur Gestaltung und Erfassung von effektiven, effizienten und ansprechenden digitalen Lerndesigns verwendet (Reigeluth 1983, Honebein & Reigeluth, 2022).
Der Beitrag will die Entwicklung zur Verbesserung von Lehre weiter pushen. Neue Ideen in die Bewegung bringen. Als Gründungsvizepräsidentin der UTN hab ich die Chance, hier ein neues Fundament für eine gesamte Uni zu legen. Wird das Gelingen? Ist dieser Ansatz, den ich hier vorstelle, eine erfolgsversprechende Option dafür? Hier können sich die TeilnehmerInnen an dieser Entwicklung beteiligen.
Mathematikunterricht in 1zu1 Ausstattungen.pptxFlippedMathe
Wie geht guter Mathematikunterricht? Und jetzt auch noch mit Tablet/Laptop? In dieser Fortbildung soll es genau darum gehen.
Sebastian Schmidt kennt vielleicht nicht Ihre persönliche Antwort auf guten (digitalen) Mathematikunterricht, aber er hat seit 2013 versucht, mit digitalen Hilfsmitteln seinen Unterricht kompetenzorientierter zu gestalten. Die Digitalisierung von Unterricht hat immer die Problematik, das Lernen der Schülerinnen und Schülern aus dem Fokus zu verlieren. Diese sollen digital mündig werden und gleichzeitig Mathematik besser verstehen.
In dieser eSession werden zahlreiche Methoden, Konzepte und auch Tools vorgestellt, die im Mathematikunterricht des Referenten erfolgreich eingesetzt werden konnten. Nicht alles kann am nächsten Tag im Unterricht eingesetzt werden, aber man erhält einen Überblick, was möglich ist. Sie entscheiden dann selbst, worauf Sie Ihren Fokus legen und wie Sie selbst in die 1:1-Ausstattung starten.
Lassen Sie sich überraschen und nehmen Sie mit, was für Sie sinnvoll erscheint. Auf der Homepage von Sebastian Schmidt gibt es neben Links und Materialien zur Fortbildungen auch Workshops fürs eigene Ausprobieren. https://www.flippedmathe.de/fortbildung/mathe-ws/