Growing Problem Solvers provides four original, related, classroom-ready mathematical tasks, one for each grade band. Together, these tasks illustrate the trajectory of learners' growth as problem solvers across their years of school mathematics.
GPS: Composing and Decomposing Shapes Across the Grades
Kyle Carpenter and Sarah Roller Dyess
Exploring Young Children’s Math Thinking in Sandcastle Building
Hannah Tan and Cynthia Lim
Children explore concepts of capacity and height measurement through sand play in nursery class.
GPS: Good Measures
Daniel K. Siebert and Monica G. McLeod
Growing Problem Solvers provides four original, related, classroom-ready mathematical tasks, one for each grade band. Together, these tasks illustrate the trajectory of learners’ growth as problem solvers across their years of school mathematics.
Adapt It! Adapting Stories and Technology for Engagement in Geometry
Karen L. Terrell, Dennis J. DeBay, and Valerie J. Spencer
A task to develop and provide access to mathematics for all.
Construct It! What’s in a Name? Collecting, Organizing, and Representing Data
Eva Thanheiser, Courtney Koestler, Amanda T. Sugimoto, and Mathew D. Felton-Koestler
Build a classroom community by building representations and visualizations of data related to students’ names.
Filling Vases and Making Tanks
Two classic hands-on tasks address conceptual understanding of functions. The tasks center student discourse and rough draft mathematics as students grapple with the relationship between input and output.
STEM and Social Consciousness
Krystal Jones Carter
A well-crafted classroom engineering challenge can effectively answer compelling questions about social and global responsibility.
Algebraic Thinking in the Context of Spatial Visualization
Arsalan Wares and David Custer
This pattern-related problem, appropriate for high school students, involves spatial visualization, promotes geometric and algebraic thinking, and relies on a no-cost computer software program.
Are We Preparing Agents of Change or Instruments of Inequity? Teaching Toward Antiracist Mathematics Teacher Education
Joel Amidon, Anne Marie Marshall, and Rebecca E. Smith
The authors began this work with the understandings that (a) there is no “neutral” when it comes to the teaching of mathematics, and (b) mathematics teacher educators need to do something to help produce teachers of mathematics that develop students’ relationships with mathematics and push against the inequities that exist both within and outside of the classrooms in which they will teach. In response, the authors created, deployed, and studied a learning module in an attempt to enact antiracist mathematics teacher education. The learning module activities, the findings about the learning from the prospective teachers who engaged in the module, and messages for mathematics teacher educators who want to engage in this work are shared.
See, Think, and Wonder Geoboard Art
Two original images were inspired by the use of an art studio app for digital drawings. This artistic process could be used to help created other original art and during See-Think-Wonder routines emphasizing meaningful observations and questioning skills.
Growing Problem Solvers hutoa kazi nne za awali, zinazohusiana, za hisabati zilizo tayari darasani, moja kwa kila bendi ya darasa. Pamoja, kazi hizi kuonyesha trajectory ya ukuaji wa wanafunzi kama matatizo ya kutatua katika miaka yao ya shule ya hisabati. "Kyle Carpenter na Sarah Roller-Dyess ""Kuchunguza Math Thinking ya Watoto wadogo katika Jengo la Sandcastle"" - Hannah Tan na Cynthia Lim Watoto kuchunguza dhana ya uwezo na urefu wa kipimo kupitia kucheza mchanga katika darasa la chekechea" "Daniel K. Siebert na Monica G. McLeod, ""Kua kwa Suluhisho la Tatizo"" hutoa kazi nne za awali, zinazohusiana, za darasa la darasa, moja kwa kila bendi ya darasa." Pamoja, kazi hizi kuonyesha trajectory ya wanafunzi 'ukuaji kama matatizo ya kutatua katika miaka yao ya shule ya hisabati. Kubadilisha Mtazamo! Kujipatanisha Hadithi na Teknolojia kwa Ushirikiano katika Jiometri Karen L. Terrell, Dennis J. DeBay, na Valerie J. Spencer Kazi ya kuendeleza na kutoa upatikanaji wa hisabati kwa wote. Jengeni! Jina Linalomaanisha Nini? Kukusanya, Kuandaa, na Kuwakilisha Takwimu Eva Thanheiser, Courtney Koestler, Amanda T. Sugimoto, na Matthew D. Felton-Koestler Kujenga jamii ya darasa kwa kujenga uwakilishi na taswira ya data zinazohusiana na majina ya wanafunzi. Kujaza Vases na Kufanya Tanks Kazi mbili classic mikono juu ya kushughulikia uelewa wa dhana ya kazi. Kazi za kituo cha mwanafunzi hotuba na rasimu ya jumla ya hisabati kama wanafunzi grapple na uhusiano kati ya pembejeo na pato. STEM na Ujuzi wa Jamii Krystal Jones Carter: Changamoto ya uhandisi ya darasa iliyoundwa vizuri inaweza kujibu maswali ya kulazimisha juu ya uwajibikaji wa kijamii na wa kimataifa. Algebraic Thinking in the Context of Spatial Visualization Arslan Wares na David Custer: Tatizo hili linalohusiana na muundo, linalofaa kwa wanafunzi wa shule ya sekondari, linahusisha taswira ya anga, inakuza mawazo ya kijiometri na algebra, na hutegemea programu ya programu ya kompyuta isiyo na gharama. Je, Tunatayarisha Wafanyabiashara wa Mabadiliko au Vifaa vya Ukosefu wa Haki? "Wanafunzi wa hisabati wa Antiracist Joel Amidon, Anne-Marie Marshall na Rebecca E. Smith walianza kazi hii na uelewa kwamba ""hakuna ""neutral"" linapokuja suala la kufundisha hisabati, na ""walimu wa hisabati wanahitaji kufanya kitu kusaidia kutoa walimu wa hisabati ambao huendeleza mahusiano ya wanafunzi na hisabati na kushinikiza dhidi ya ukosefu wa usawa ambao upo ndani na nje ya madarasa." Kwa kujibu, waandishi waliunda, kupeleka, na kusoma moduli ya kujifunza katika jaribio la kutekeleza elimu ya mwalimu wa hisabati ya kupambana na ubaguzi wa rangi. Mafunzo ya moduli ya kujifunza, matokeo ya kujifunza kutoka kwa walimu wa baadaye ambao walijihusisha na moduli, na ujumbe kwa walimu wa masomo ya hisabati ambao wanataka kushiriki katika kazi hii. Angalia, Fikiria, na Ajabu Geoboard Sanaa Picha mbili za awali ziliongozwa na matumizi ya programu ya studio ya sanaa kwa michoro ya dijiti. Utaratibu huu wa kisanii unaweza kutumika kusaidia kuunda sanaa nyingine ya asili na wakati wa See-Think-Wonder routines akisisitiza uchunguzi wenye maana na ujuzi wa kuuliza.