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Maths Continuum May 17 2024, FINAL COPY (2)

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Please share one math activity that you have done successfully last year.

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Welcome Note

Have you got Maths Eyes is a project dedicated to helping individuals of all ages and backgrounds discover the maths they use in their everyday lives.

Maths Eyes is sponsored by Avonbeg Consulting, the School of Mathematics & Statistics at Technological University Dublin, the Maths Week Ireland Team ( https://www.mathsweek.ie/) and Dublin West Education Centre. We are supported by many others who contribute their time and expertise to help us judge the Maths Eyes annual competition entries and activities.

We invite you, whether you're a parent, student, tutor, or teacher, to join in and share your own materials and events. Help us to open the Maths Eyes of as many people as possible and build everyone's confidence in mathematics.

About Maths Eyes

Maths Eyes is an evolving idea that is now being used in primary and post primary schools, adult education centres and communities in Ireland and internationally. Maths Eyes works on the premise that if individuals are supported to look at familiar things and begin to see that mathematics is all around them, they can build confidence in their own ability to use mathematics. Mathematics that surrounds people in their everyday lives, for the most part, remains 'invisible'. Teachers and parents who develop their Maths Eyes are able to see this 'invisible' mathematics and can pinpoint appropriate starting points for introducing mathematical knowledge and skills that are relevant to their lives and to those of children.

Maths Eyes can be used to make connections across and between 'big ideas' to develop a profound understanding of mathematics. Viewing the world from a mathematical perspective involves having number sense, an ability to recognise connections and interdependencies, cause-and-effect relationships, and the ability to construct visual images and to understand, communicate and link mathematical knowledge and skills to real world contexts.

Dr Terry Maguire
Avonbeg Consulting

Mr Ciarán O'Sullivan
Technological University Dublin

Mr Eoin Gill
Maths Week Ireland

Dr Sheila Donegan
Maths Week Ireland

The importance of developing Maths Eyes

Having Maths Eyes provides excellent opportunities for linking home and school

Having Maths Eyes promotes the usefulness of mathematics

Having Maths Eyes builds confidence in mathematics

When teachers have Maths Eyes they can identify real world starting points for mathematics teaching and learning that are relevant to the social, cultural and educational context of their learners.

Having Maths Eyes means adults and children become more confident in their own mathematics and begin to regard themselves as being a 'maths person'

Having Maths Eyes encourages the use of the real world as a starting point for the relevant exploration in the maths world.

Having Maths Eyes gives us a way to see the maths that surrounds us in school, at home, in the garden, on the street,in the park or in any other real-world settings

Having Maths Eyes gives us a new way of looking at familiar things

Opening your Maths Eyes develops communication by providing opportunities to talk about maths

Having Maths Eyes identifies fun problems to solve

Using Maths Eyes develops understanding.

Maths Eyes Lenses

In the same way that contact or glass lenses help some individuals to see more clearly, using 'Maths Eyes lenses' can help us to see different types of mathematics that surround us. When an individual first develops their Maths Eyes they usually see the mathematics that is associated with measure and number e.g., prices in the shop, bus and car registrations, bar codes, speed signs, etc. before seeing other types of mathematics. However, by changing the lens that you look through it is possible to see the other types of real world mathematics that surround us. What you might see using different lenses is outlined in Table 1

Table 1 Maths Eyes Lenses

Shape and Space

This lens enables you to see the range of shapes used in the real world contexts

Measures and Number

This lens covers all the thingsthat relate to number and quantity in everyday life such as, our use of measurements, time and money and our use of number sense or even how we share a cake or pizza with family and friends

Data and Chance

This lens enables you to see the ever increasing use of data and predictions present in everyday life. News reports or media include charts and tables that need to be interpreted (e.g. sports or league tables, survey results, etc.). Predicting the chances of things happening such as wether ot illness or winning in sport (or the Lottery!) etc are also part of everyday life.

Algebra

(incl. Patterns, rules and relationships; Expressions and equations)

This lens opens our eyes tot he patterns that surround us, road markings and signs, the way trees or shrubs are planted, patio, fence and gate designs, GAA or Rugby scores. Patterns are the gateway to Algebra expressions and equations which enable us to develop new ideas, build models and solve problems.

Different ways to develop Maths Eyes

Recognition of your commitment to developing Maths Eyes
We are excited to announce that digital badges are available to recognise your commitment to developing Maths Eyes. The Maths Eyes team offers various badges to individuals, schools, adult education centers, and community groups who support the Maths Eyes project. Learn more.

Our History

The concept of Maths Eyes was developed by Terry Maguire as part of her research on mathematics education. Her focus was on developing the mathematics education of adult maths tutors in Ireland. This research led her to the realisation that many people struggle to see the maths in their everyday lives and often do not appreciate the maths they use regularly. As a result, she developed the idea of developing 'Maths Eyes' to help individuals understand the maths that surrounds them and to use this understanding in their daily lives.
Maguire, T., 2003. Engendering Numeracy in Adults Mathematics Education with a focus on tutors: A grounded Approach. Unpublished PhD Thesis, University of Limerick, Ireland Maguire, T. 2006 Engendering Numeracy in Adults Mathematics Education with a Focus on Tutors: A Grounded Approach' In: From the inside out: emerging perspectives in adult and further education in Ireland, N. Colleran (ed.) Nenagh: Tipperary (NR) VEC, 218-235. ISBN 0 95527170 0 3 Maguire, T., Smith, A.M. (2018). Maths Eyes-A Concept with Potential to Support Adult Lifelong Mathematics Education. In: Safford-Ramus, K., Maaß, J., Süss-Stepancik, E. (eds) Contemporary Research in Adult and Lifelong Learning of Mathematics. ICME-13 Monographs. Springer, Cham. https://doi.org/10.1007/978-3-319-96502-4_12 O Sullivan, C. Maguire T., Robinson P. 2012, "Building Mathematical Competence - A Community Approach". Proceedings of Mathematical Education of Engineers: 16th SEFI (Mathematics Working Group). https://sefi.htw-aalen.de/Seminars/Salamanca2012/16thSEFIMWGSeminar/ficheros/lecturas/Documents_pdf/Session1/SEFIMWG12_osullivan.pdf

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Have you got Maths Eyes is a project dedicated to helping individuals of all ages and backgrounds discover the maths they use in their everyday lives. Maths Eyes is sponsored by Avonbeg Consulting, the School of Mathematics & Statistics at Technological University Dublin, the Maths Week Ireland Team ( https://www.mathsweek.ie/) and Dublin West Education Centre.

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Courtney (Mrs Mac) on Instagram: "✨️ MATHS WARM UP ✨️ 
This is something we do in our class as a little warm up to our maths lesson. I find different pictures online that relate to different things (today's picture was because we were having a teddy day in class). We then work together to brainstorm all the ways we can use our eyes to spot things that are related to maths - numbers, amounts, size, shape, patterns, equations, etc. Once the kids have shared their ideas with their peers, they share back to me and I record their answers and ideas in a big modeling book. 

This is a really great way for the kids to notice that maths is all around us, and they soon find they are identifying many different number and pattern related things in the images, building their number sense! 

**there is a great website called Mathseyes where you can follow along and use real-life images to teach maths. This is loosely based on this 😀"

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426 likes, 17 comments - mrs_macs_mind on September 9, 2024: "✨️ MATHS WARM UP ✨️ 
This is something we do in our class as a little warm up to our maths lesson. I find different pictures online that relate to different things (today's picture was because we were having a teddy day in class). We then work together to brainstorm all the ways we can use our eyes to spot things that are related to maths - numbers, amounts, size, shape, patterns, equations, etc. Once the kids have shared their ideas with their peers, they share back to me and I record their answers and ideas in a big modeling book. 

This is a really great way for the kids to notice that maths is all around us, and they soon find they are identifying many different number and pattern related things in the images, building their number sense! 

**there is a great website called Mathseyes where you can follow along and use real-life images to teach maths. This is loosely based on this 😀". 

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View this post on Instagram

A post shared by Courtney (Mrs Mac) (@mrs_macs_mind)

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Play fun educational math games with your favorite characters from PEG + CAT!

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How to Make AI IMAGES in CANVA (FREE for Canva for Education Users)

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Wordwall - Create better lessons quicker

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Need a fresh teaching resource that fits your class and teaching style? Create a customized pack of interactive and printable activities in just one minute.

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IXL | Math, Language Arts, Science, Social Studies, and Spanish

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IXL is the world's most popular subscription-based learning site for K-12. Used by over 15 million students, IXL provides personalized learning in more than 10,000 topics, covering math, language arts, science, social studies, and Spanish. Interactive questions, awards, and certificates keep kids motivated as they master skills.

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At Starfall, children have fun while they learn. Educational games, movies, books, songs, and more for PreK and Kindergarten learners.

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中文數學遊戲網站-樂和遊戲

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中文數學遊戲網站-樂和遊戲

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快來玩我們的免費單人遊戲吧！種類包括動作、射擊、策略、解謎和更多。遊戲每月更新。

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幼稚園數學遊戲及工作紙 | 網上學習數學

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幼稚園數學遊戲及工作紙 | 網上學習數學

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探索數千個適合幼稚園的自適應數學遊戲及工作紙，兼容小學幼稚園數學課程。在此處探索幼稚園的網上數學內容。

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Please share one potential math activity that you want to do.

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1-30的數字「賓果」遊戲，小朋友可用自己喜歡的動物小模型擺放在聽到的數字上。

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1-30的數字「賓果」遊戲，小朋友可用自己喜歡的動物小模型擺放在聽到的數字上。

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小朋友把上下左右的箭嘴製作道路，按Beebot上的上下左右的按鈕，把Beebot帶到終點。然後，小朋友每人製作地圖上的一格，把Beebot按上下左右帶到想去的目的地。

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The children used colourful connecting cubes to measure their water bottles. After measuring, they then compared their findings with their classmates to see who has the tallest/shortest water bottle at their table.

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Making patterns using the hungry caterpillar story. Colour patterns out of its body

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Children first build 2D shapes of square, triangle, rectangle and hexagon they then went on to build it up into a 3D shape. We used toothpicks and playdough.

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隨著音樂節奏，用肢體動作創作排列。

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隨著音樂節奏，用肢體動作創作排列。

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顏色配對孩子在透明手套中依指尖

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顏色配對

孩子在透明手套中依指尖圓點顏色將毛毛球分顏色推入不同指尖

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在移動的單元中，我們與幼兒在探索飛機的動力時，進行了紙飛機比賽，並以積木量度飛行距離。

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把不同顔色的吸管剪成粒粒，根據排列模式製作項鏈。

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在「我們是誰」的探究單元中，學習對稱的概念，

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在「我們是誰」的探究單元中，學習對稱的概念，探究身體對稱的部位名稱。學習非標準量度概念，用手掌、腳掌進行測量。

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利用故事《好餓的毛毛蟲》，製作相應的教具，幼兒可以利用毛毛蟲和水果上的數字進行數數，進而更加熟悉數字鄰居。

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幼兒認識對稱的概念

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以雪條棍組成不同的形狀以認識邊和角

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Students role played a toy shop. They dad the option to use cash, credit card, or octopus card.

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Shape in many different ways  - guessing by feeling it in the bag, using fly swats to play a game where they hit the shape as I name it or say one of its properties in simple ways. Then throwing the corresponding bean bag shapes to the right box and shouting its name as they throw it. 

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Shape in many different ways  - guessing by feeling it in the bag, using fly swats to play a game where they hit the shape as I name it or say one of its properties in simple ways. Then throwing the corresponding bean bag shapes to the right box and shouting its name as they throw it. 

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運用軟尺量度朋友的身高並進行記錄，並進行比較。

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運用軟尺量度朋友的身高並進行記錄，並進行比較。

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教授1-10的概念時，教師將不同的數字卡藏起

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教授1-10的概念時，教師將不同的數字卡藏起來，請幼兒按指示一同找出相應的數字。

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During the friendship unit, students practiced sorting similarities and differences with their friends by using a venn diagram.  

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During the friendship unit, students practiced sorting similarities and differences with their friends by using a venn diagram.  

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在共享地球的單元探索中，我和幼兒閱讀了一本有

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在共享地球的單元探索中，我和幼兒閱讀了一本有關地球動物的真實尺寸，我們用了非正式測量工具和正式測量工具進行量度，過程互動有趣！

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立體圖形讓幼兒利用泥膠及竹簽做

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立體圖形

讓幼兒利用泥膠及竹簽做出立體圖形，然後數出不同的邊和角。

亦可讓幼兒用麵粉糰做出立體圖形，數出它有多少面。

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材料：泥膠、牙籤

展示不同的立體圖形圖片（有不同難度），然後讓幼兒運用牙籤和泥膠建構出立體形狀。

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students get stars when they follow the classroom rules or helping others. Teachers make a chart to show them how many stars do they have. And after a period of time, we provide some gifts with prices, children need to get the information from the bar graph and then use money in simulated situations.

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Children roll a dice and pick up the number of sticks on the dice.

Create patterns/pictures/shapes using lollipop sticks

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方法1：利用日常生活用品進行排列模式的學習，例如水壺 餐具 / 水壺 餐具的模式。

方法2：結合音樂遊戲，拍手 拍腿 / 拍手 拍腿 深化對於pattern的認知。

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Saw this activity on insta and it looks so cute/fun!
Trace dominoes on a poster, write numbers inside, the kids can match the dominoes and put them on top (through counting the dots or adding them together.)

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兩件物可同時作不同的比較-長短

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兩件物可同時作不同的比較-長短

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請孩子在課室內嘗試尋找不同長短的物品進行比較。

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請幼兒運用數粒砌起與需要比較的物品相同的高度，然後作出比較。

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(PN): We focused on red and green for this activity. I created this activity with the use of Canva, simple set up with the theme I want (picking green and red apples to respective color box), children were very engaged as there were a interesting mission for them and provide them with sensory stimulation. Most of thewere able to do it and some of them can even name the color.

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Pour some marbles or beans into a clear jar and place it in front of the children. Have each child write down how many marbles or beans they think are in the jar. With your help (if needed), empty the jar and count the contents. The child who guessed closest to the correct number wins.

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顏色分類-老師先把不同顏色的萬字夾夾在紙碟上，幼兒逐一拿下，放在相同顏色的紙碟上。

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顏色分類-老師先把不同顏色的萬字夾夾在紙碟上，幼兒逐一拿下，放在相同顏色的紙碟上。

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Role play in a supermarket so as to understand the concept of Hong Kong currency

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Based on the number of birthdays each month, the children created a tally chart showing the number of children and teachers who have birthdays each month.

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透過棋盤遊戲學習加減概念。

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透過棋盤遊戲學習加減概念。

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先準備不同種類的動物，請幼兒把動物用文氏圖進行陸地、水中、水陸兩棲分類，重疊區域為水陸兩棲，最後根據文氏圖內容比較動物的異同。

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在呼拉圈上貼上數字，小朋友用自己的手臂做時針和分針，指向正確的整點時間。

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Provide children with different shapes for designing their unique costume on paper. Children can use shapes to create different patterns for their clothes.

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讓2-3位幼兒在袋中抽出不同顏色的恐龍，然後讓幼兒說出排列模式，並列出之後的次序。

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進行棋盤遊戲(蛇棋、飛行棋等)時，讓幼兒同時

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進行棋盤遊戲(蛇棋、飛行棋等)時，讓幼兒同時擲出兩粒骰子，並把數字相加再走出該步數。

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Key questions: Can you show me smaller/bigger with your hands? Which bear is smallest/biggest? Which bear is medium sized? How do you know?

Aims: For children to be able to compare size, mass and capacity.

Key vocab: Big, small, bigger, smaller

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準備一些棉花糖和牙籤，讓幼兒用他們切出一個最

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準備一些棉花糖和牙籤，讓幼兒用他們切出一個最高的塔，看看幼兒的創意和練習機械設計。

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The children will use toothpicks, popsicle sticks, and blue tac to build 3D shapes.

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Vocabulary used: whole, half, quarter

1 cup, 1 and a half teaspoons, 3 ml

Hexagon, triangle, round, circle

A fun activity we did at my previous school was making pizza.

🍕

This easily integrated maths concepts such as shape, measurement and capacity as the recipe called on them to ask and answer questions such as “how many cups / spoons / ?” And “how much”

The children took turns to count, measure and pour ingredients.

The children also naturally learnt concepts surrounding whole, half, quarter as they chopped fresh 🍅 🍄‍🟫 vegetables

We made predictions on how many slices our pizza 🍕 would make.

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準備一些棉花糖和牙籤，讓幼兒用他們切出一個最

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準備一些棉花糖和牙籤，讓幼兒用他們切出一個最高的塔，看看幼兒的創意和練習機械設計。

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設計自己的日程表，包括上學、玩耍、做作業等活動，並使用時間概念（如小時）來安排一天中的活動，並討論如何平衡不同活動之間的時間。

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小朋友按學號分類單數和雙數，進行分類集體遊戲。

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I will make an obstacle course for them to do. Then ask what they can add or change. Then maybe see if they can make their own. We will use shapes, prepositions, and patterns.

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利用扑克牌学习加法及凑十法，增加趣味性。

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Integrate math with a pizza play shop.

Children can explore different shapes and number creating their loose parts. They create a pizza with buttons, gems, paper other materials counting how many.

They can also explore different concepts of maths 🧮 through role play with money 💴 exploring “how much”

for children of diverse needs they may just want to play with money by passing it to their friends.

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We drew pictures of our feelings in the first week of school and the students made estimated guesses on which feelings were the most popular.

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I would like to create pictures using different shapes on the smart board (Polypad)

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首先讓園生在記錄紙上猜猜哪一種健康食物較重，然後請幼兒運用天秤進行量度，最後看看自己的猜測是否正確。

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閱讀「數字在那裡」後，我們利用數學工具箱的小時鐘，學習時正的概念；並將小時鐘放在數學區，讓幼兒在分組時進行探索，學習運用語言表達自己在那一個時間吃飯、睡覺和起床。          

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閱讀「數字在那裡」後，我們利用數學工具箱的小時鐘，學習時正的概念；並將小時鐘放在數學區，讓幼兒在分組時進行探索，學習運用語言表達自己在那一個時間吃飯、睡覺和起床。          

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非正式測量活動（用不同方法測量動物的真實身高）

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非正式測量活動（用不同方法測量動物的真實身高）

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小朋友們在認識數字1-20後，請他們合作將數字積木按順序連接在一起。