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Aligning Outcomes, Assessment and Activities

3 Column Table

BHAG (Big Hairy Audacious Goal)

Overarching Course Goal

Learners will count up to ten (10) items and demonstrate cardinality by communicating that the last number indicates the number of items in the set.

Learning Environment & Situational Factors to Consider

 

  1.  Specific Context of the Teaching/Learning Situation

  • How many students are in the class?  

            There are 22 students.

  • Is the course primary, secondary, undergraduate, or graduate level?

            The course is Pre-Kindergarten.

  • How long and frequent are the class meetings? 

            Classes are approximately 45 minutes long.

  • How will the course be delivered: live, online, blended, flipped or in a classroom or lab?

            Classes will be delivered live in a regular classroom.

  • What physical elements of the learning environment will affect the class?

            Physical space and classroom organization

            Sensory stimulation

            Themed play areas and their integration with didactic and manipulative materials.

            Technology Integration

  • What technology, networking and access issues will affect the class?

            Availability of devices, laptops, tablets, etc.

            Digital Literacy Gaps

            Internet Connectivity

            Bandwidth limitations

            Software Compatibility

            Device Reliability

    2.  Context of the Learning Situation

  • What learning expectations are placed on this course or curriculum by: the school, district, university, college and/or department?  the profession?  society? 

-District/School Expectations:

Students develop foundational counting and quantity comprehension skills before entering kindergarten.

Acquire the ability to count the sequence of up to 10 from memory.

They understand the cardinality principle, i.e., that the last number named represents a set's total number of objects.

They can apply these counting and cardinality skills in practical activities and meaningful contexts.

-Expectations of the teaching profession:

Teachers plan and implement active, manipulative, and playful learning activities to develop these early numeracy skills.

Use age-appropriate teaching strategies, such as songs, games, stories, and specific materials.

Assess students' progress in these skills through observations and hands-on assignments.

-Societal Expectations:

Children acquire a solid foundation in mathematics early to prepare them for future learning.

They develop counting skills and an understanding of quantities fundamental to daily life.

Through quality preschool education, the foundation is laid for later academic success.

3.  Nature of the Subject

  • Is this subject primarily theoretical, practical, or a combination? 

Teaching mathematics in pre-kindergarten is primarily based on a practical, manipulative, and playful approach that promotes active and experiential learning in children. It is a balanced combination of theory and practice. Math education in preschool is not simply about memorizing numbers or mastering abstract concepts; It's about fostering a love of math, developing problem-solving skills, and laying the foundation for future math success. By achieving a balance between theory and practice, early childhood educators may effectively accompany young learners on their mathematical journey.

  • Is the subject primarily convergent or divergent? 

It is primarily divergent. In pre-K, math is usually taught in divergent ways to encourage creative and exploratory thinking in children. Children at this age are at an early stage of cognitive development and are learning to understand and manipulate basic math concepts through hands-on, exploratory experiences.

  • Are there important changes or controversies occurring within the field?

-The use of standardized assessments to measure math skills in preschool.

-There is an emphasis on play-based learning as opposed to structured instruction. Play-based learning enables children to learn via inquiry, discovery, and hands-on experiences, resulting in a deeper knowledge and enthusiasm for mathematics. 

-While technology can offer engaging and interactive learning experiences, there are concerns about its potential to replace hands-on activities, limit social interaction, and push existing digital divides out of the ordinary.

4.  Characteristics of the Learners

  • What is the life situation of the learners (e.g., socio-economic, cultural, personal, family, professional goals)? 

My class is bilingual pre-kindergarten, and 90% of my learners only speak Spanish. The school where I work is Title I, and the economic situation of the families varies. My students come from different countries, such as Mexico, Honduras, Guatemala, and El Salvador. They are mostly parents of immigrant families who come to seek a better future in this country.

  • What prior knowledge, experiences, and initial feelings do students usually have about this subject?

My class is bilingual Spanish-English pre-kindergarten. My students range from 3 to 5 years old at the beginning of the school year, they have an innate knowledge of mathematics and no previous academic knowledge, but they arrive with an amazing desire to learn.

  • What are their learning goals and expectations?

The learning goals and expectations of pre-K math students focus on establishing a solid foundation for developing foundational math skills and learning in a fun and engaging way.

5.  Characteristics of the Teacher

  • What beliefs and values does the teacher have about teaching and learning?

From my perspective, Learning is a continuous process that takes time, effort, and assistance to ensure that all children can learn and have the opportunity to achieve. Thus, the teacher's role in teaching will be to recognize that each student has unique strengths, needs, and learning styles, build strong relationships with their students, and create a meaningful, positive, and supportive learning environment. They are fostering values such as curiosity, creativity, critical thinking, problem-solving, communication, and respect.

  • What is his/her attitude toward:  the subject? students?

My attitude towards math is positive. First, because that's my personality. Second, because math is everywhere and provides tools to understand the world around us, and we apply it every day in all situations of our lives. Regarding students, I believe that children in pre-kindergarten can assimilate knowledge quickly, are curious, and are receptive to learning, so it is crucial to foster a positive attitude towards mathematical concepts from an early age in a fun and accessible way.

  • What level of knowledge or familiarity does s/he have with this subject?

I have a good level of knowledge about teaching math through gamification. I consider gamification a strategy that uses game elements to motivate and engage students in learning. By making learning more interactive and fun, students can feel more motivated to engage with and explore math concepts more deeply and meaningfully.

  • What are his/her strengths in teaching?

My strengths are: I am patient, creative, empathetic, and persevering. I can adapt my approach to the students' styles, levels, and learning needs. I strive for my students to understand the concepts clearly, from the general to the specific, always with the intention that the students obtain meaningful learning.

Questions for Formulating Significant Learning Goals

 

"A year (or more) after this course is over, I want and hope that students will develop the concepts of number sense proposed in the pre-kindergarten guidelines using gamification as a strategy to learn in a meaningful, practical, dynamic, and fun way.”

My Big Harry Audacious Goal (BHAG) for the course is:

Learners will count up to ten (10) items and demonstrate cardinality by communicating that the last number indicates the number of items in the set.

 

• What key information (e.g., facts, terms, formulae, concepts, principles, relationships, etc.) is/are important for students to understand and remember in the future?

The concept of number.

The number sequence and its order.

The symbolic representation of numbers.

The correspondence between the numerical word and quantity.

The one-to-one relationship between numbers and objects.

• What key ideas (or perspectives) are important for students to understand in this course?

It is important for students to understand that numbers are the foundation for developing more advanced math skills in the future, such as counting, comparing, adding, and subtracting.

 

• What kinds of thinking are important for students to learn?

Critical thinking, in which students analyze and evaluate

Creative thinking, in which students imagine and create

Practical thinking, in which students solve problems and make decisions

Critical thinking: Students can apply critical thinking by analyzing numerical patterns, relationships between numbers, and the logic behind basic mathematical operations.

Creative thinking: Students can use innovative and creative thinking to find ways to relate numbers to each other or to imagine scenarios in which numbers 1 to 10 are applied in everyday situations.

Practical thinking: Students can apply practical thinking by counting objects, grouping them into sets, and solving simple problems involving small numerical quantities from 1 to 10.

• What important skills do students need to gain?

Students must gain counting skills in everyday situations, numerical memory, attention, verbal communication, cooperative work, and skills using interactive and virtual games technology.

• Do students need to learn how to manage complex projects?

No, they explore and connect with math concepts at pre-kindergarten.

 

• What connections (similarities and interactions) should students recognize and make…:

Among ideas within this course?

Among the information, ideas, and perspectives in this course and those in other courses or areas?

Among material in this course and the students' own personal, social, and/or work life?

The connections will be that students will use counting and numbers to solve daily life situations and other academic areas. In addition, through gamification, you will be able to develop cooperation and teamwork.

 

• What could or should students learn about themselves?

They could learn to develop self-confidence.

Teamwork and cooperation.

Assertiveness to not give up if presented with a situation they cannot resolve.

•What could or should students learn about understanding others and/or interacting with them?

Respect for the ideas or opinions of others.

Empathy.

Collaboration during teamwork.

 

• What changes/values do you hope students will adopt?

Feelings?

Interests?

Values?

I expect my students to have a positive and joyful attitude toward math and counting. Awaken the curiosity and motivation to learn mathematics using technology and develop confidence and persistence in your ability to learn with the thought of "Yes, I can, I just need to practice" and value collaborative learning among peers.

 

• What would you like for students to learn about:

how to be good students in a course like this?

To be a good student in this course, you must practice and practice always applying mathematical concepts.

Engage in all activities and ask questions.

Be an explorer of the different mathematical games.

Collaborate with other classmates to solve problems.

• How to learn about this particular subject?

Apply mathematics in everyday life, and play educational and interactive math games through interactive platforms or applications adapted to the pre-kindergarten level.

• How to become a self-directed learner of this subject, i.e., having a learning agenda of what they need/want to learn, and a plan for learning it?

In this case, because they are students between the ages of 3 and 5, I will first model how to become a self-directed learner by setting personalized learning goals and plans (activities to achieve their goals), monitoring learning (how they are learning weaknesses and strengths), and finally recognizing and celebrating the effort, then, we will begin to apply the modeling.

Foundational Knowledge

Aplication Goals

Integration Goals

Human Dimensions Goals

Caring Goals

"Learning-How-to-Learn" Goals

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How will the course outcome planning process and the 3-column table influence or impact my innovation plan?

The process of planning the course outcomes and the 3-column table will have a positive and important impact on my innovation plan, firstly because being clear and aligned with all activities, objectives, and outcomes will ensure that teaching number sense through gamification is implemented intentionally and strategically, maximizing the impact on my students' learning. On the other hand, having all this information and detailed information about the learning objectives will serve as a basis for me to design interactive games and activities that effectively and directly address the skills and knowledge intended to be developed in the math unit.

Second, by being clear about the goals and each evaluation criteria, I will have the advantage of collecting data on student performance and the impact of teaching and gamification activities. This continual evaluation will enable me to discover math strengths, weaknesses, opportunities, and areas for growth so that I can make appropriate changes to the design and implementation of teaching tactics to maximize their efficacy throughout the course. 

Third, presenting organized and transparent learning objectives, learning activities, and assessment activities criteria clearly and concisely will allow me to have more accessible communication and collaboration between peers teachers, parents, and students, creating a shared vision of the learning process, promoting cooperation between teachers to share effective gamification strategies and evaluate their impact together, Fostering a team approach to the implementation and continuous improvement of mathematics teaching in an easy, practical, meaningful and fun way through gamification in the classroom. All these aspects will allow the creation of a meaningful learning environment where children will be more motivated and interested in learning; it will enable them to improve their mathematical skills, it will contribute to improving their performance within the field of integral development, and finally, it will be beneficial for the teacher since it will facilitate the process of consolidation of knowledge in the students achieving with the Pre-kindergarten goals outlined in the curriculum.

References 

 

Fink, L. D. (2003). A self-directed guide to designing courses for significant learning [Pamphlet]. San Francisco, CA: Jossey-Bass.

Harapnuik, D. (2016, June 16). Mapping your learner’s journey. http://www.harapnuik.org/?p=6420.

Harapnuik, D. (2016, June 13). Why you need a BHAG to design learning environments. https://www.harapnuik.org/?p=6414.

Harapnuik, D. (2016, November 28). 4 Keys to aligning outcomes, activities & assessment. https://www.harapnuik.org/?p=6695.

Harapnuik, D. (2016, November 20). Why create significant learning environments. https://www.harapnuik.org/?p=6691.

Ley, J., Ortiz , C., & Pedraza , G. (2022, July 29). The use of gamification as a teaching strategy at the preschool level. Vectores educativos: https://vectoreseducativos.uanl.mx/index.php/revista/article/view/4

Texas Prekindergarten Guidelines. (2022). https://tea.texas.gov/academics/early-childhood-education/2022-texas-pkg-comprehensive-guide.pdf

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