Tag Archives: interdisciplinary

Integrating Math and Literacy

Language arts can be weaved into Math to disrupt the disconnection between the subject areas, encourage interdisciplinarity, and to improve students understanding of Math.

Why Integrate Math & Language Arts?

 

Resources:

Picture Books

Why is it Effective?

  • Books allow students to create connections- making math meaningful and relevant to their lives.
  • Math children’s books are a powerful vehicle for demonstrating to children that math is all around us!
  • Children’s books can provide a context for various math concepts learned.

Applications:

  • Mathical: Math is more than numbers and equations! The Mathical Annual Book Prize and Resources seek to inspire children of all ages to see math in the world around them. Each book has a reading guide that includes both math-centric and narrative activities to start discussions and activities with one child, a handful of kids, or an entire classroom.
  • Math for kids: Teaching real-world applications of math is a vital part of math education, that’s why we love math books for kids. Let them tell the math story, show the applications, and make the math come alive!

Math Journals

Why is it Effective?

Research (Benson-O’Connor, McDaniel, and Carr, 2019; Dacey, 2018; Kostos and Shin, 2010) shows that math journals:

  •  Could help students process their learning, make sense of their learning, and solidify their understanding.
  •  Can promote confidence. Each entry helps organize and clarify thinking processes for deciphering mathematical situations.
  • Students begin to make connections across mathematical ideas.
  • Assessment tool! Provides a window into students’ thinking, understandings, and misconceptions.
  • Nonverbal and nontechnical expression with drawings or diagrams provides additional access to understanding content
  • Journals foster growth in mathematical understanding and computation and allow students to make a deeper connection to math’s real-life applications in their own lives. Real-life connections provide a deeper understanding of the purpose of math concepts and skills.
  • In their study of math journal usage with second-grade students, they determined the use of math journals increased mathematical thinking, increased student use of mathematical vocabulary, and improved assessment of students’ understanding of the concept.

How can teachers use math journals?

  • Writing to make sense of a task.
  • Informative writing to describe or explain.
  • Argumentative writing to justify or critique.
  • Creative writing to express fluency, flexibility, or to elaborate one’s thinking.
  • Writing to reflect on your thinking (metacognition).
  • Sharing solutions with other students by talking about or sharing journal entries can be less intimidating than impromptu explanations in front of the whole class.
  • Discussions, either in pairs or in small groups, can introduce new ideas and encourage students to evaluate strategies—their own and those of others.
  • Sharing requires students to use mathematical language correctly and precisely to communicate mathematical ideas effectively. This can help with accessibility by making strategies explicit.
If you want to know more:

Types of prompts to guide students’ math journals

  • Reflective: Encourage students to think critically and reflect on what they are learning. An opportunity for students to synthesize their learning.
  • Problem-Solving: Students are working through a mathematical problem and writing about the processes or strategies used.
  • Topic Development: A record of how students’ learning has progressed on a given topic.

Math Task Cards

This blog brings many examples of math cards and how to use them in the classroom:

12 Ways to Use Math Task Cards in the Classroom

Number Talks

Why is it Effective?

  • Research shows that when students rely on rote algorithms, they don’t really understand what they are doing or why.
  • Develop students’ number sense- the ability to understand numbers and quantities, use numbers flexibly, and perform calculations mentally.
  • Allows students another way to express mathematical understanding and problem-solving strategies.
  • Builds confidence, number fluency, and helps learners recognize patterns between numbers, and understand the properties of numbers & operations.

What is a number talk?

  • Daily, short, structured way for students to talk about math with their peers (10ish minutes).
  • Teachers pose a problem and, using only mental math, students attempt to provide solutions. Students share strategies and listen and ask clarifying questions of one another.
  • Students aren’t just looking for the answer, they are looking for multiple solutions (or multiple ways to arrive at the solution)!
  • De-emphasis on speed and right answers and an added emphasis on process and communication.

Math Talk Prompts

This blog brings many examples of math talk prompts and describes the five steps to conduct a great conversation to use them in the classroom:

Word Problems

Why is it Effective?

  • Word problems are a big part of the curriculum and thus students’ learning journey with math.
  • Word problems are notoriously difficult, especially when challenging language obscures the intent of the question.

See how this teacher uses word problems in her classroom:


Guest post by Peer Tutor Tamara Jabboour and Ariane Faria dos Santos, October 2023.

 

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Filed under Blog Posts, Curriculum, Language & Lit Learning, Math, Resources, STEAM, Teaching Strategies, The Arts

Design Challenges: Creating Class Community

Providing students with opportunities to work together, to set and achieve goals and problem solve through the process can help foster community building. Having students participate in a design challenge (developed by the teacher) is one way to facilitate purposeful, interdisciplinary engagement, in your classroom. As students become more familiar with the design thinking process, they can progress to designing their own challenges.

While obviously not a new concept to educators, the principle of learning-by-doing has been applied in one particular framework, credited to UCLA professor Doreen Nelson, called Design-Based Learning (DBL). Also sometimes called Project- or Problem-Based Learning (PBL), DBL / PBL encourages students to think about how to address a problem in its context, specifically by thinking with the end in mind. As a formal methodology in contemporary education, DBL / PBL gained wider recognition during the 1990s, particularly as the oncoming millennium posed the perceived need for students to learn what popularly became known as 21st century skills.

Design-based learning (and project-based learning) methods encourage experiential learning as a way to overcome student disengagement (Kim, Suh, & Song, 2015; Washor & Mojkowski, 2014), such as increasing the enrolment of women in the field of Information Technology (Jessup & Sumner, 2005). DBL / PBL enables students and their teachers to make use of prior learning to address authentic experiences and so-called real-world problem-solving (Wang, Derry, & Ge, 2017) as compared to the more sheltered lessons and linear hypotheticals of the traditional classroom.

You will find a variety of design challenges freely available online. It is important to consider your own teaching context and learning objectives in selecting or crafting a challenge to meet your/your students and your curricular needs. Design challenges typically offer a well-crafted ‘challenge statement’, design constraints and may include accommodations or may be varied based on the needs/differences in the class.

An Example:

One of my favourite design challenges for upper intermediate, secondary and post-secondary groups is the ‘Newspaper Structures Challenge’:newspaper structures cube shaped example

Materials: large pile of newspaper (broadsheet works better than tabloid style), masking tape, 1-2 m length of dowling or a straw (optional to assist with rolling the newspaper into tubes – starting at a corner of a flattened sheet of newspaper, use the dowel to role a tube, then remove the dowel and tape up the tube)

  • The Challenge: Design and build a free standing structure that your whole team can fit inside.
  • Design constraints: Use only the available materials,  (the dowel is to be used as a tool not a part of the structure); use only a ‘set amount’ of tape; time limit…
  • Process: You might provide students with a  live demo or video example of how they can create rolled newspaper ‘rods/dowels’ (rolled sheets of paper using a straw or wood dowel) to utilize as building material and have the prep multiple dowels before providing the challenge. Alternatively, you might provide the challenge and have students work together to ‘discover’ the best way for them to use the newspaper to create a structure… (time available and your students resilience, experience problem solving and working as a group are among considerations)
  • Variations: the structure may be fastened at certain points to a chair, wall, floor; only X number of people need to fit within the structure; the structure is built to house a stuffy or other object instead of people…

DiscoverE  has a PDF resource entitled “Strong Paper Structures” that is an example of an adaptation of the above activity (to make smaller structures and including a bit more leading instructions on designing ‘strong’ structures than I typically provide to older or adult learners if my purpose is community building. If my purpose is more curricular (engineering, science and structures), this project could either be a summative activity or it could be incorporated at the outset of a unit of study as an open-ended way to assess prior knowledge (with little prior instruction provided) and then used as a ‘performance task’ to assess learning at a later point in a unit of study.

This link will take you to a

A key consideration will be the ability of your learners to work together within a group. Regardless of age of learning, the teacher is an important facilitator of learning during this activity (and not simply a by-stander!). Activities like this will provide opportunities to introduce or reinforce and allow students to self-assess their progression in the personal, social and communication ‘Core Competencies’.

A few supportive Resources:

Design a Design Challenge Google Slide Deck:

The slide deck resource below was co-developed with UBC Engineering’s Geering Up program for teacher candidates in the UBC BEd science methodology course. This presentation deck includes the ‘cat in a tree’ design challenge using found objects (lesson plan on their website). It is accompanied by a ‘design your own challenge template’ that teachers/students can use as they plan their own activities. The Geering Up team share many different challenges on their teacher resource site (filter by ‘Challenges’) . They also offer professional development workshops, classroom workshops and will even schedule Zoom consults with teachers wishing to incorporate STEM learning in the classroom.

Another favourite activity:

Cross the river (move from Point A to Point B given different materials or constraints):

  • The ‘small’ table top version:
    • use a table and paper as a model of land bisected by a water body and provide the challenge: How can you move your lego figure/pom pom/etc from the mainland to the island without touching the water. Provide craft sticks, string, elastic bands, wooden spoons, other materials from around the house/recycling box etc. Consider how you might address environmental impact in your constraints (i.e. amount of material used or that all built structures need to be able to be dismantled and recycled – aka – no glue and limit use of tape)
  • The ‘large body’ PHE version:
    • Students, in small groups, each have two matts and are challenged to move from one end of the gym to another. Get from point A to point B without anyone in your group ever touching the floor (the floor is lava!). If any member of the team falls out or touches the ground, the group restarts… they need to replan/strategize/discuss…
    • A variation: River Crossing – a popular group activity in PHE classes.
  • Exploratorium offers educational resources including design challenges.
  • Science World has a repository of free resources including design challenges for teachers.
  • A few of my favourite challenges:

References

Jessup, E. & Sumner, T. (2005). Design-based learning and the participation of women in IT. Frontiers: A Journal of Women Studies26(1), 141-147.

Kim, P., Suh, E., & Song, D. (2015). Development of a design-based learning curriculum through design-based research for a technology-enabled science classroom. Educational Technology Research and Development63(4), 575–602.

Wang, M., Derry, S., & Ge, X. (2017). Fostering deep learning in problem-solving contexts with the support of technology. Journal of Educational Technology & Society20(4), 162–165.

Washor, E. & Mojkowski, C. (2014). Student disengagement: It’s deeper than you think. The Phi Delta Kappan95(8), 8–10.

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Filed under Active Learning, AppliedDesignSkillsTechnologies, Curriculum, Engineering, Planning, STEAM

Mathematics All Around Us: Podcast Resource Blogpost

“Mathematics is the language with which God has written the universe.”

Galileo Galilei

The last three episodes (episodes 7, 8, and 9) of our Thinking Outside the Sandbox podcast, are dedicated to discussing possible creative ways of teaching Math outside abstraction, in ways that embody more physicality and representation. Dr. Kerry Renwick, Dr. Susan Gerofsky, and Dr. Lorrie Miller shared beautiful diverse ideas and examples that highlighted teaching mathematics experientially through the five senses. For example, teaching the concept of patterns was demonstrated through music, observing nature, cultural activities, weaving, and storytelling.

Decolonizing space in Mathematics, integrating Indigenous Knowledge, redesigning the math classroom, teaching math for social justice were also discussed.

Begin by hearing from Dr. Susan Gerofsky, Janice Novakowsky and Dr. Cynthia Nichol in Thinking Outside the Sandbox: Math Part 1

 

Below are resources that might be used to support teaching Mathematics in an interdisciplinary way, that involves real-life contexts. “The Importance of Context” video by Heinemann explores how stories, posters, and real-life situations could set the stage for students to learn math through real-life contexts and problems.
the famous multi colored cube

Interactive Lessons

Interactive Lessons could be found in K-8 Mathematics station at PBS Learning Media, which includes a wide range of resources (videos, lesson plans, interactive lessons) that integrate real-world and Mathematical Problems.

Mathematics outside the Classroom

  • Mathematical concepts could be explored easily in nature. Concepts as symmetry, spheres, measurements, meteorology, and geometry are all around us. Check this Connections Academy article for activities on these concepts.
  • Age-specific outdoor activities for various concepts are available on the learning outside the classroom blog.
  • For more ideas on Math outside the classroom, check our blogpost, math outside the classroom.

On creating an inclusive, anti-oppressive Math classroom

As opposed to traditional mathematics classrooms that provide one-sided arguments, erase learners’ differences from their processes, and claim right versus wrong ways of problem-solving, Dana Bjornson, a UBC MET grad, in a blogpost suggests teachers would be aware of any oppressive practices in their classrooms.

Creating a non-oppressive, third space which draws from Indigenous wisdom:

  1. Includes collaboration with peer MKOs
    1. peer instruction: where students share responses to MCQ’s, and discuss these responses
    2. formative collaborative review: where students help other students with difficulties
    3. collaborative assessments: where students do their tests individually and mark their own work, then in groups of four complete the same test collaboratively.
  2. Honors multiple ways of knowing; where all forms of solutions are celebrated

Integrating Indigenous Knowledge

  • BC’s redesigned curriculum integrates Indigenous knowledge and perspectives throughout all areas of learning, one of which is math.

Check this BC Curriculum document for implicit and explicit references to Indigenous Knowledge and Perspectives throughout Mathematics for K -12.

Teaching Mathematics for Social Justice

Teacher teaching math on a white boardSocial Justice Issues could be easily taught through Math.

  • Radical Math provides a guide on integrating issues of economic and social justice into the Mathematics curriculum.

Mathematics Apps

  • Explore room design apps to learn mathematics principles such as geometry and arithmetic through interior design projects.
  • Photomath is a math teaching app that provides solutions to math problems elaborating the steps to these solutions
  • PHET is an online repository of interactive simulations and lessons fro Science and Math classroom.
  • More ideas the Tech Integration in your Math classroom (links to post on this blog).

Games

  • A variety of games that could help students better comprehend mathematics, on various concepts, from numbers and counting to decimals, fractions, graphs, money, and time, are included in this Mobile Math list.

Guest Post: Nashwa Khedr, EDCP graduate student, project assistant 2020

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Filed under Blog Posts, Culturally Responsive Teaching, Curriculum, Digital Tools and Apps, Inclusive Practices, Math, Planning, Resources

Intertwining Art: PodCast Resource Post

When used meaningfully, Art can be Education’s best ally! Whether it be witnessing or creating it, Art gives students and teachers the opportunity to engage with something new.

In the attempt to approach, explore, and practice new pieces of knowledge, Art serves as the forum to make connections through multiple angles. By allowing the space to search through diverse points, Art provides the freedom to bring students into unique and intimate relationships with their answers (Greene, 2001).

Think about it! The more ways to engage with the learning materials, the better chance ALL student have at finding something that speaks to them; therefore, the more likely they will be of making connections relevant to them and their previous knowledge.

Here at Scarfe Sandbox we are firm believers in interdisciplinary learning experiences for students. So the Scarfe Sandbox 2020 team set out to interview UBC professors from the Faculty of Education, and create Thinking Outside the Sandbox! A podcast sharing knowledge on Interdisciplinary learning in teacher education. For inspiration on intertwining Art into your lesson plan we encourage you to check out episode 3: “Art & Interdisciplinary Learning and Teaching” which featuring Dr. Sandrine Han. Dr. Shannon Leddy, and Dr. Marina Milner-Bolotin.

In addition to the podcast episode to help you begin thinking about the ‘A’ in STEAM, below are some examples showing a few approaches to planning meaningful Art-based lessons to engage students with Big Ideas, Content, and Curricular Competencies across three different subjects of the BC curriculum. All of these examples were presented to TC´s at an “Intertwining Art into Unit planning” workshop in early 2020 by Belen (post-author, pod cast host & graduate student in Arts Education)

Intertwining Art and English Language

A great way of intertwining Art and English Language is creating a museum or art gallery inside your classroom!

By encouraging both teachers and students to think of art pieces, museums, and artists as living and dynamic, Art turns into a space and medium to explore, express, and document new pieces of knowledge. Engaging students with unique ways of expression allows for the exchange of stories and new perspectives.

Perks: It can remain as a short lesson plan but has the potential to become a cross disciplinary unit plan, using museum and gallery spaces as a theme to the project.

Provided in the link, you can find slides from our Art-based unit planning workshop, offering a wider insight on the potential to this Art-based unit plan and an overview on how Big Ideas, Content, and Curricular Competencies from the English Language Arts 1 are covered in the BC curriculum: Meaningful Art-based lesson plan for Language Arts 1

Intertwining Art at a Secondary level

For all you secondary teachers we  have some great resources to accompany our episode on creating interdisciplinary units plans that intertwine Art, we invite you to read our post on Interdisciplinary Unit Planning: Secondary Art, Sci, SS,  in which you can find a lesson-plan to engage students with the Bentwood box, constructed by Coast Salish artist Luke Marston,  carved from red cedar to represent First Nations, Inuit and Metis cultures. All while exploring (remotely) the Museum CMHR, through their app.

Intertwining Art and Mathematics

Engagement with Art can activate students’ imagination to conceive possibility and other choices of life, such as ways of interpreting and displaying different forms of data.

Analyzing art composition can be a wonderful way to introduce fractions, decimals, percentages, and even ratios. While the creation of art pieces becomes a great medium to practice with, it can also be a form of assessment.

Provided in the link, you can find slides from our Art-based unit planning workshop, offering a wider insight on the potential to teaching fractions in an Art-based approach, plus the overview on how Big Ideas, Content, and Curricular Competencies from the Mathematics 4 are covered in the BC curriculum: Meaningful Art-based lesson plan for Math 4

Intertwining Art and Science

Manually sculpting, carving, and using the potter´s wheel are magical. With the appropriate use of wording, children will experience what it means to cool, steer, mix, heat, dilute, and dry matter. Plus it can even be done in 1 or 2 classes!

Provided in the link, you can find slides from our Art-based unit planning workshop, offering a wider insight on the potential to teaching fractions in an Art-based approach, plus the overview on how Big Ideas, Content, and Curricular Competencies from the Science 2 are covered in the BC curriculum: Meaningful Art-based lesson plan for Science 2

Guest Post contributed by Belen Guilleman, a grad student in Arts Education

References:
Greene, M. (2001). Variations on a Blue Guitar: The Lincoln Center Institute Lectures on Aesthetic Education. New York: Teachers College Press.

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TLEF Grant 2019 – 2021: Weaving together Arts with STEM

Weaving together Arts with STEM: Creating a living repository of pedagogical resources for UBC B.Ed., Graduate and Diploma Students
Duration 2 Years
Initiation 04/01/2019

Project Summary
The BC curriculum emphasizes big ideas, inquiry, interdisciplinarity, and Indigenous ways of knowing. This unto itself poses an immense challenge to a Faculty of 700+ B.Ed., 800+ Diploma, 1100+ graduate students and thousands of alumni. In one short year, we educate teachers who will shape BC’s future. We all have the best intentions, but with our large fragmented Faculty, it is extremely challenging to integrate our courses, curricula, and pedagogies beyond a limited subset of subjects (noted within the 2018 external review). This two-year proposal addresses this challenge by creating a Faculty-wide repository consisting of interdisciplinary resources designed by students, instructors, and staff that respond to the new BC curriculum. As a common denominator, we chose science, technology, engineering, arts and mathematics (STEAM) education that crosses disciplinary boundaries and weaves the arts and the sciences in order to educate teachers who are ready to embrace the 21st century challenges.

Funding Details Small TLEF grant – Faculty of Education, UBC Vancouver

Year 1: 2019/2020

Project Partners:
Principal Investigator: Lorrie Miller, Program Coordinator / Lecturer, Teacher Education Office
Co-Investigators:
Marina Milner-Bolotin, Associate Professor, Curriculum and Pedagogy
Yvonne Dawydiak, Learning Design Manager, Teacher Education
Funded Amount $28,282

Student Team:
Eric Lee, Technological Project Assistant, Webmaster, TC Tech Coach
Scott Robertson, GAA (May-Nov 2019)
Nashwa Khadr, GAA (Jan – present 2020)
Belen Guillemin Montes, GAA (Jan – present 2020)

Year 2: 2020/2021
Principal Investigator: Yvonne Dawydiak, Learning Design Manager, Teacher Education, Faculty of Education
Co-Investigators:
Lorrie Miller, Program Coordinator / Lecturer, Teacher Education Office, Faculty of Education
Marina Milner-Bolotin, Associate Professor, Curriculum and Pedagogy, Faculty of Education
Funded Amount $21,682

We gratefully acknowledge the financial support for this project provided by UBC Vancouver students via the Teaching and Learning Enhancement Fund.

Project Outcomes

(more to come upon completion August 2021)

STEAM Project poster highlighting deliverables and project reach

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Faune et Flore du Pays

What is it

Le site Faune et Flore du Pays est fondé sur la série de vignettes télévisées “La faune de l’arrière-pays”.  Une série produite par le Service canadien de la faune (SCF) pour faire connaître les espèces indigènes.  Dans les années ‘60 une série de fiches d’informations détaillées étaient publiées sur papier en relation avec chaque émission.  Les téléspectateurs devaient contacter le SCF pour se procurer ces fiches. Pour sa nouvelle série, Faune et Flore du Pays, permet d’avoir accès à des fiches d’informations et aussi à des espaces interactifs, par exemple : l’espace sauvage, des multimédias, les curieux de nature et les enjeux.  

“De plus en plus, nous voulons non seulement découvrir les secrets de la nature, mais aussi savoir le rôle que nous pouvons jouer pour la conserver. La Fédération canadienne de la faune, un des plus importants organismes non gouvernementaux et sans but lucratif de conservation du Canada, joue un rôle de chef de file en indiquant aux Canadiens et aux Canadiennes des routes à prendre pour innover et intervenir.

Ensemble, le Service canadien de la faune et la Fédération canadienne de la faune apportent une mine de savoir et d’expérience à la série rajeunie Faune et flore du pays et au grand public canadien.” (Fédération Canadienne de la Faune, 2018)

 


Why is it relevant

 

Les séries comme “La faune de l’arrière-pays” et “Faune et Flore du Pays” permettent aux canadien.ne.s d’être inspirés et de consacrer leur temps à la protection des espèces sauvages.

 

Il y a tout une section dédiée aux autochtones.  “En l’honneur du 150e anniversaire de notre pays et afin de célébrer le patrimoine des peuples autochtones au Canada, Faune et flore du pays a créé des capsules-vidéo sur certaines de nos espèces les plus emblématiques en six langues autochtones. Les espèces présentées sont importantes pour la culture de certains peuples autochtones et sont présentes dans plusieurs légendes des Premières Nations, Métis ou Inuits.” (Fédération Canadienne de la Faune, 2018)

 

Il faut non seulement apprendre comment protéger la faune et la flore mais aussi connaitre son histoire.


How to get started

On suggère d’aller explorer Faune et Flore du Pays.  Le site est gratuit et facile à naviguer.  Il faut garder en tête que pour la partie autochtone le site se concentre en grande partie sur l’Est du Canada.


Video demonstration

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