Archive for the ‘iPad technology’ Category

January thinking together: use technology to explore mathematics

Posted on: January 31st, 2019 by jnovakowski No Comments

This month’s focus is on the curricular competency: use technology to explore mathematics.

This is the language that is used from K-5 with the accompanying elaborations:

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This is the language of the learning standard for grades 6-9:

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And this is the language of the learning standard in grades 10-12, with elaborations that are more course-specific:

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There are many questions that arise for educators and parents around the use of technology. In some contexts the use of personal devices becomes a management and liability concern for schools and in other contexts there are access and equity concerns around technology. In terms of pedagogy and appropriate use, there is always a professional judgement made as to the suitable use of technology and whether it is enhancing the learning experience in some way. Technology is not to be used just for the sake of using technology but instead, choices are made around technology use based on intention, context and purpose. In mathematics, there are many applications that allow for students to visualize and experience mathematics in ways they would not otherwise be able to (one example is the use of Desmos). Another aspect of using technology in mathematics teaching is as a tool to represent and share students’ learning. There are many accessibility features available on devices for students who may need different tools to support their communication or recording of ideas. Technology can be a powerful tool to support inclusive practices, choice and differentiation.

When we look at BC’s redesigned curriculum for information on the role of technology within a learning environment, the following is shared:

ICT-enabled learning environments

Students need opportunities to develop the competencies required to use current and emerging technologies effectively in all aspects of their learning and life. Technology can facilitate collaboration between students, educators, parents, and classrooms while also providing schools with rich online resources. Today’s technology enables classrooms, communities, and experts around the world to share digitally in a learning experience, wherever they may be.

source: https://curriculum.gov.bc.ca/curriculum/overview

E-Portfolios

Communication with families (and others) is an important part of our education system and in our district we are embracing e-portfolios and the use of technology to share and communicate student learning and progress with families. Students are able to take photographs or videos and upload them to their portfolios and annotate their posts with information or self-assessment about their learning. The teacher is also able to add descriptive feedback that is shared between teacher, student and family.

Screencasting

As a classroom and resource teacher and teacher-librarian, one of my favourite uses of technology was the use of screen casting apps. These apps allow students to take a photograph of the math they have been building, creating, diagramming or recording and then use annotation tools such as text labelling and arrows to explain their thinking as well as using audio tools to narrate their thinking. I found that many students were more confident and detailed in sharing their learning through these apps that what I might have found out about their understanding in other ways. There is also an honouring of students’ uniqueness in how they might see or think through the mathematics that can be shown through these types of apps. Some examples of screen casting apps we use in our district our: ShowMe, Educreations, Explain Everything, 30Hands and Doceri.

Math Apps

There are many apps that can support mathematics learning – some are mathematics specific and others are used to represent and share learning. A caution is the type of math apps that are essentially a worksheet and don’t include any sort of feedback to students, visual supports, problem-solving or mathematical thinking. Some locally produced apps include the TouchCounts from SFU that uses the research around gesturing to create an interactive app that focuses on counting and decomposition and composition of quantities. Another series of BC apps are the MathTappers apps developed through the University of Victoria. Each app has visual supports for students developing their understanding of a concept as well as symbolic or abstract notation. There are also choices as the number range that students can work with, allowing for differentiation. These apps are all on our district configured iPad devices. Some specific apps from this series include Find Sums, Multiples, and Equivalents.

Screen Shot 2019-01-31 at 11.10.00 AMThe apps from the Math Learning Centre are also on our district configured iPad devices and allow for content creation and capturing students’ process and thinking. These apps are in web-based and iOS and Android formats. More information can be found HERE.

 

 

There are also so many apps that allow for students to share their thinking such as ShowMe, Educreations, Book Creator, PicCollage, 30Hands and Doceri.

Tracy Zager shares her ideas on evaluating math content apps HERE. Her non-negotiable criteria are:

1) no time pressure

2) conceptual basis for operations

3) mistakes are handled productively

Read through her blog post for explanation and examples.

The following is a link to some recommended apps and blog posts about students using them from #summertech15 and HERE is a blog post about using iPad technology and specific apps to support all students in mathematics.

 

Calculators

Although BC does not yet have a specific statement on calculator use, there is no intent that students will use calculators to complete calculations instead of learning the concepts and practice involved with operations (addition, subtraction, multiplication, division). In some cases, students that have specific learning needs and plans may use calculators as an adaptation. In some cases, teachers may choose to provide the choice of calculators when the focus of the lesson or assessment is not on calculation but on another area of the math curriculum such as problem-solving and calculators can be used for the necessary calculations so that students can focus on the other aspects of the task. Calculators can also be used to investigate patterns and relationships, support student reasoning or justification.

The NCTM has a research brief on calculator use in the classroom which can be found HERE as well as a position paper on calculator use in elementary grades which can be found HERE.

Virtual Manipulatives

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The Math Learning Centre offers a variety of virtual manipulatives in web, iOS and Android formats. They can be accessed HERE.

 

 

 

desmos

Desmos is a free, online graphing calculator application that is used by teachers and students all over the world. There are both web-based and app platforms. Students are “able” to play with parameters in an equation and visually see how the graph changes as the parameters change.  The desmos staff and teachers across the world have developed lessons and tasks that are open source and shared through the desmos teacher website at no cost HERE. There is also an activity builder so that teachers can create their own tasks.

I attended a math conference a few years ago where Eli Luberoff, CEO of desmos, shared his passion for the teaching and learning enabled and enhanced by this tool. In particular, I was captivated by the marble slides task he shared and the authentic learning that we witnessed happening for students in the video he shared.

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More information about Desmos and access to many classroom activities can be found HERE.

Coding and Computational Thinking

There are many links between coding and computational thinking. Two new senior math courses – Computer Science 11 and 12 have been added to our BC curriculum framework and these courses focus on coding, programming and computational thinking.  I will be sharing a blog post specific to coding and math in the next few months.

Osmo

Screen Shot 2019-01-29 at 10.56.25 PMOsmo is an interactive accessory for iPad technology that uses the camera to create Reflective Artificial Intelligence. The red camera clip and white base are used with free apps and game materials that can be purchased online or at the Apple Store. Two of its earliest games focused on mathematics – the Tangram game focuses on spatial reasoning and the Numbers games focuses on decomposition and composition of numbers. Osmo is always developing new games including a Pizza game that focuses on financial literacy and a series of coding games.

More information about Osmo can be found in a blog post here and on their website here. The SD38 DRC has five Osmo kits available to borrow. Note that one iPad device is needed for each kit.

Augmented Reality (AR)

Augmented reality (AR) is an interactive experience of a real-world environment where the objects that reside in the real-world are “augmented” by computer-generated perceptual information, sometimes across multiple sensory modalities (from Wikipedia). There is an interplay in AR between digital and real-world environments whereas in Virtual Reality (VR) you engage with a simulated environment. A few years ago we had a Google Expeditions team visit Homma school and share their Google cardboard virtual reality devices with the students. A blog post about that experience can be found HERE. This was a first foray into thinking about ways this kind of technology could support teaching and learning. My first experience with AR was a few years ago when the colAR app created a special event to go along with Dot Day (inspired by the book by Peter Reynolds). The information about this can be found HERE and is a great starting point to use AR with students.

Our new technology integration teacher consultant Ellen Reid has been exploring AR with the iPad app AR Maker . We talked about the mathematical possibilities for using AR and along with the development of spatial reasoning, the following concepts came to mind: surface area, volume, transformational geometry, scale, proportion, ratio, 2D and 3D geometry, and composition and decomposition of shapes. The following are some photos Ellen captured as she created AR WODBs (Which One Doesn’t Belong?):

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For Richmond teachers, please also check out the Integrating Technology for Teachers page, curated by Chris Loat, on our district portal linked HERE.

 

Some questions to consider as you plan for learning opportunities to develop the competency of using technology to explore mathematics:

How can technology enhance students’ mathematical experience and see and think about mathematics in different ways?

What specific curricular content and competencies at your grade level could be explored and investigated through technology, including the use of calculators?

How can technology be used to support students’ collaboration and communication in mathematics?

What opportunities are we creating for sharing and communication with families through the use of technology?  How are we communicating with parents how forms of technology are being used in our schools to support learning in mathematics?

~Janice

creating spaces for playful inquiry: thinking about reflection – January 2018

Posted on: May 11th, 2018 by jnovakowski

On January 25, Richmond educators gathered at Grauer for our second dinner session of our Creating Spaces for Playful Inquiry professional learning series. This month our focus was on reflection and time. Educators shared their experiences engaging in playful inquiry with their students and considering the role of reflection in documentation and making both students’ and our professional learning visible.

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After dinner together, teachers participated in interest groups facilitated by our playful inquiry mentors.

A handout with curricular connections to the idea of reflection can be found here: Reflections_Provocations_Jan25_2018

~Janice

looking for math outdoors

Posted on: January 4th, 2017 by jnovakowski

During my last visit of the year to the Kindergarten classes at General Currie Elementary, it was a snowy and icy day so we decided to venture outdoors with some iPads to capture images of things that inspired our mathematical thinking. We had a quick talk with the students about how to look for math outdoors – looking up, looking down, looking all around. We talked about what math might look like outdoors – the counting of items, the shape of things, patterns in the environment, as well as sources of inspiration for thinking about math.

One of the first mathematical ideas we played with was shadows – how does your position affect your shadow? what determines the height of your shadow? what do we need to think about if we wanted to put our shadows in height order?

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As with the case of all our school sites…there is a story that lives there. General Currie was one of the first one room school houses on what was originally called Lulu Island. We stopped briefly at the historic building that is still on the new school’s site and talked about the time elapsed – what school might have been like, what the neighbourhood might have looked like, etc.

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We ventured on to the field and took photos as we walking along noticing nests in trees, tracks in the snow, all sorts of ice and frozen leaves.

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The ice was a source of fascination and many questions for the students. They were also very interested in some footprints they found and wondered about the size of different footprints or tracks.

We came back into the classroom and the students used the app Skitch with one of the photographs they took. They labelled, circled or used arrows to show where they noticed math or what inspired a mathematical problem or question.

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Classroom teacher Kelly Shuto then showed some of the students “skitches” to the class to inspire further questions.

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The following week Kelly tweeted out about the class photo book they had created, based on the idea “What math lives here?”

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In this crisp wintery weather, what will your students notice outdoors? What math lives in the frozen puddles and tracks through the snow? How far do animals need to travel to find food? What might your students wonder about?

~Janice

thinking about measurement in kindergarten

Posted on: May 24th, 2016 by jnovakowski

I was invited into Denise Tong Vargas’ kindergarten class at Dixon Elementary to look at ways to present mathematical provocations to students at this age level as well as how to integrate technology use as a way to document learning.

For our first time together, I asked the students to share what they knew about measuring. I then did a little demonstration with matryoshka dolls which the students were fascinate with. We compared their height and ordered them from tallest to shortest. We talked about the importance of using specific mathematical language like long, tall, short instead of a general term like “big”. We talked about how when we are comparing two objects directly that we need to “line them up” or use a baseline for accurate comparison. The students were then challenged to find something in the classroom and compare and measure it in different ways.

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As we came together at the end of their investigation time, as a way to share the students’  experiences and consolidate students’ thinking, we co-created two pic-collages using photographs I had taken using iPad technology, focusing on the concepts of baseline and units.

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On my second visit to the class, Denise and the students settled in with their regular morning routine and then I talked to the students for a short time about the big idea that we were going to focus on – comparing and ordering objects and how we might use mathematical ideas and measuring tools to help us investigate this. I had set up three provocations on tables, adding to the one that Denise and her students had been investigating already.

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And I added another onto the carpet area involving containers and cylinders to  provoke students’ thinking about measuring curved surfaces and measuring capacity/volume.

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There was high engagement amongst the students and many of the children stuck with one set of materials or provocations while others moved around. It was interesting listening to them play with the language – second tallest, “mediumest”, third shortest, etc., play with the materials and play with mathematical ideas.

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I must say that there is something to be said for unique and “fresh” materials that engages students and helps bridge school and the world outside of the classroom. By using toys and materials (like ribbons and pinecones) that they might find outside or at home, the students can see that they can be measuring wherever they are – not only if they have a ruler or Unifix cubes!

Some new pic collages were created to help consolidate the students’ learning and to focus on the big ideas involved with measuring.

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I am looking forward to checking in on Mrs. TV’s classroom blog to see what other measuring experiences the students have.

~Janice

Richmond’s first IGNITE event – #sd38ignite 2016

Posted on: May 10th, 2016 by jnovakowski

The Richmond School District hosted its first IGNITE event on Monday, May 9th at the Big River Brew Pub. The first IGNITE took place in Seattle in 2006 and is now a movement that is international in scope. An IGNITE talk is a five minute presentation consisting of 20 slides, auto-advancing after 15 seconds whether the speaker is ready or not. The IGNITE tagline is….”Enlighten us, but make it quick!”  More information about the IGNITE movement can be found here.

Having presented a few ignite talks and experiencing the inspiration and fun that goes along with these social events, I really wanted to be able to bring this professional learning format to our district and my colleagues Rosalind Poon and Lorraine Minosky were on board and we ran with it. Chris Loat created our logo for us…

SD38 Ignite logo

And both Chris and Lisa Schwartz agreed to be our technical support for the event.  We found a site and had a meeting at the Big River Brew Pub to see where attendees would sit and how the technology and food service would play out.

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We invited Richmond educators representative of primary, intermediate and secondary as well as a balance of teachers and administrators to share a story about something they are passionate about. We also invited two out of district colleagues to add to our Richmond stories.

Two weeks before the event, we hosted a rehearsal especially for educators who were new to the ignite format. It gave them a chance to meet other igniters and to practice their presentation in front of an audience. By seeing and discussing what we appreciate about others’ presentations, I think it also gave presenters some ideas for their own ignites. And its always great to have sushi…and pens.

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As we were setting up on May 9th, we were all so excited to see everything fall into place. The venue was great and it was a beautiful day so the patio was open, the technology was cooperating and the tables were set with programs and sweet treats from Sinfully the Best for our guests.The burger bar was a hit and the company was great. Unfortunately two of our igniters (Neil Stephenson and Sarah Garr) had to pull out due to personal reasons.

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Some of the guests…

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And then the talks began! I was live streaming the talks using the Periscope app and people that weren’t able to attend the event could still watch the talks live. Between each “set” there was a 15-minute break for guests to chat about the talks, etc.

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Twitter was alive with #sd38ignite…we were trending!

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It was such a positive, passionate event and such a great way to build community amongst colleagues. All our igniters shared their own personal narratives within their professional narratives and these stories are what connect us and make us better together.

We will be releasing the IGNITE talks on youtube soon…watch twitter for announcements!

A HUGE thank you to our igniters…you are what made the event the success it was!

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~Janice