### REGISTRATION OPENS IN JANUARY 2020!

## MELT 2020 Summer Institutes

Appalachian State University, Boone NC

**Full Week**: $300/person w/BOGO or ONLINE $300/person w/no BOGO.

**Short Week**: $200/person w/no BOGO or ONLINE $200/person w/no BOGO

### Full Week 1: June 22-26, 2020

Math 4 (high school) (3 Math CEUs): Face-to-face

Math 1 (high school) (3 Math CEUs): Face-to-face or ONLINE

Desmos: Intro - Advanced (high school) (3 CEUs, Math/DL combination): Face-to-face or ONLINE

Integrated STEM for the K-5 Classroom(3 CEUs, Math/Science combination): Face-to-face

Numbers, Operations, & Manipulatives (grades K-5) (3 Math CEUs): Face-to-face

Numbers, Operations, & Manipulatives (grades 6-8) (3 Math CEUs): Face-to-face

### Short Week 2: June 29 – July 1, 2020

Matrices in the 4th Level Math Courses (high school) (1.7 Math CEUs): Face-to-face or ONLINE

Brief Desmos (grades 6-12) (1.7 CEUs Math/DL combination): Face-to-face or ONLINE

Digital Learning (grades K-5) (1.7 Digital Learning CEUs): Face-to-face or ONLINE

Vertical Alignment, Math Curriculum & Instruction (grades K-5) (1.7 Math CEUs): Face-to-face or ONLINE

Vertical Alignment, Math Curriculum & Instruction (grades 6-8) (1.7 Math CEUs): Face-to-face or ONLINE

### Short Week 3: July 8-10, 2020

Literacy in Mathematics (grades K-5) (1.7 CEUs Math/Literacy combination): Face-to-face

Statistics in the 4th Level Math Courses (1.7 Math CEUs): Face-to-face or ONLINE

New Ideas in Discrete Math (1.7 Math CEUs): Face-to-face or ONLINE

Math Assessment, Interpretation & Application (grades K-5) (1.7 Math CEUs): Face-to-face or ONLINE

Math Assessment, Interpretation & Application (grades 6-8) (1.7 Math CEUs): Face-to-face or ONLINE

### Full Week 4: July 13-17, 2020

Math 3 (3rd High School Math) (3 Math CEUs): Face-to-face or ONLINE

Math 2 (high school) (3 Math CEUs): Face-to-face) or ONLINE

Discrete Math (high school) (3 Math CEUs): Face-to-face

Fractions: Understanding, Arithmetic, & Application (grades K-5) (3 Math CEUs): Face-to-face (

Fractions, Ratios, & Proportions (grades 6-8) (3 Math CEUs): Face-to-face

## Summer Institutes Organization

Institute Meetings. All MELT Institutes meet FACE-TO-FACE in Walker Hall at Appalachian State University in Boone, NC. Additionally, SOME institutes will allow a LIMITED number of seats for participants who wish to take the institute in a live, synchronous, ONLINE manner. This means that online participants will be on their computers, interacting live with the face-to-face institute participants through each institute meeting day through the entire week. This online option is intended to help educators who, for personal or professional reasons, cannot travel to Boone in the summer.

Institute Curricula. While the curricula of each Institute focus on the North Carolina content standards, all Institutes are designed to be flexible and meet the needs of teachers from any state. The curricular content of each Institute changes yearly and the Institutes aim to meet the individual needs of all participants. Thus, participants can take pertinent Institutes more than once and their individual state standards will be addressed. Most Institute investigations and experiences include: inquiry-based methods; mathematical modeling; using technology; assessment strategies; reasoning and problem solving; standards on mathematical content, teaching, learning, and practices; and investigating teacher and student beliefs. In order to shed light on the respective mathematics, some Institutes consider mathematical topics and approaches that transcend high school mathematics.

*There will be a select number of seats available for some educators to participate in these Institutes in a live, synchronous ONLINE manner. For online participants, the Buy-One-Get-One-Free group tuition discount will not be available.*

## Summer Institutes Descriptions

## Week 1: June 22-26, 2020

### Math 4 (high school) (3 Math CEUs)

### Math 1 (high school) (3 Math CEUs)

These two face-to-face Institutes exemplify the integrated and inquiry-based nature of the content in the respective high school Math 4 and Math 1, as defined in the North Carolina state content and pedagogy standards. The contents of these high school courses share similarities with curricula in other states. (See Institute Curricula above.) The CEUs provided through these Institutes are in Math. The tuition for these Institutes is $300/person and qualifies for the Buy-One-Get-One-Free group discount.

### Desmos: Intro - Advanced (high school) (3 CEUs, Math/DL combination)

Desmos is being increasingly integrated in mathematics teaching, learning, and assessment. While introductory uses of Desmos are rather intuitive, it is capable of very sophisticated uses. Some of these uses can lead to powerful student investigations, sophisticated assessment tools, and the deepening of student conceptual development. This NEW face-to-face institute will investigate employing Desmos as an epistemological (learning) tool and as a pedagogical (teaching) tool, and investigate how to use Desmos to differentiate instruction for different learners. Through various implementations of Desmos, this institute will investigate mathematical concepts found in North Carolina state standards for high school mathematics. (See Institute Curricula above.) The CEUs provided through this Institute are in combinations of Mathematics and Digital Learning. The tuition for this Institute is $300/person and qualifies for the Buy-One-Get-One-Free group discount.

### Integrated STEM for the K-5 Classroom(3 CEUs, Math/Science combination)

The integration of mathematics and science content and habits of mind provides powerful tools in the classroom. What does STEM look like in the elementary grades? Participants in this face-to-face Institute will: explore ways to conceptualize STEM integration; participate in inquiry-based investigations aligned to elementary curriculum; examine and critique challenging activities and investigations; and consider activities and investigations through the lenses of frameworks for STEM. This institute is most appropriate for teachers or instructional facilitators of mathematics and science in the elementary grades or others seeking to support them. Please note that this institute includes some off-site activities to allow for explorations. (See Institute Curricula above.) Additional information will be sent to registrants about two weeks prior to the session. The CEUs provided through this Institute are in combinations of Math and Science. The tuition for this Institute is $300/person and qualifies for the Buy-One-Get-One-Free group discount.

### Numbers, Operations, & Manipulatives (grades 6-8) (3 Math CEUs):

### Numbers, Operations, & Manipulatives (grades K-5) (3 Math CEUs):

Standards for mathematical content, teaching, learning, and practices require that teachers provide students with opportunities to think deeper and make connections among concepts. While the strands of numbers and operations are woven throughout most state standards for mathematics, notably absent in instructional practices are investigations regarding the meaning of the mathematics and why concepts and skills are valid. Furthermore, teachers commonly state that they need help with how to effectively use manipulatives (physical and virtual) in the classroom to develop student conceptual understanding of arithmetic operations and properties. Thus, these two face-to-face Institutes integrate the notions of number, operations, and meaning with a focus on the use of manipulatives. Through inquiry-based instructional techniques that model best educational practices, these Institutes investigate topics in these strands, use problem solving and modeling, and have participants engage in and develop activities commensurate with these strands in grades K-5 and 6-8. (See Institute Curricula above.) The CEUs provided through these Institute are in Math. The tuition for these Institutes is $300/person and qualifies for the Buy-One-Get-One-Free group discount.

## Short Week 2: June 29 – July 1, 2020

### Matrices in the 4th Level Math Courses (high school) (1.7 Math CEUs)

The study of matrices and their applications appears in the 4th level math courses. Since many teachers have not investigated matrices for a number of years, this institute provides a refresher on the meaning, arithmetic, and applications of matrices. This face-to-face institute will investigate matrices as presented in the 4th level math courses. (See Institute Curricula above.) The CEUs provided through this Institute are in mathematics. The tuition for this Institute is $200/person and the Buy-One-Get-One-Free group discount does not apply.

### Brief Desmos (grades 6-12) (1.7 CEUs Math/DL combination)

Desmos is being increasingly integrated in mathematics teaching, learning, and assessment. While uses and applications of Desmos can be very sophisticated, many uses are quite intuitive and easy to learn. This face-to-face institute will investigate employing Desmos as an epistemological (learning) tool and as a pedagogical (teaching) tool, and investigate how to use Desmos to differentiate instruction for different learners and to deepen student conceptual understanding. Through various implementations of Desmos, this institute will investigate mathematical concepts found in North Carolina state standards for grades 6-12 mathematics. (See Institute Curricula above.) The CEUs provided through this Institute are in combinations of Mathematics and Digital Learning. The tuition for this Institute is $200/person and the Buy-One-Get-One-Free group discount does not apply.

### Digital Learning (grades K-5) (1.7 Digital Learning CEUs)

Few fields have at their disposal as many technology tools as mathematics. These tools can be differentiated by epistemological (learning) tools and pedagogical (teaching) tools, with some tools working effectively, albeit differently, as both. Through various implementations of mathematical technology, this face-to-face institute will investigate mathematical concepts found in North Carolina state standards for elementary grades mathematics. Thus, this Institute simultaneously investigates both mathematics and appropriate technology. Participants in this institute will be better prepared to use technology associated with their teaching and their students’ learning of math. (See Institute Curricula above.) The CEUs provided through this Institute are in combinations of Math and Digital Learning. The tuition for this Institute is $200/person and the Buy-One-Get-One-Free group discount does not apply.

### Vertical Alignment, Math Curriculum & Instruction (grades K-5) (1.7 Math CEUs)

### Vertical Alignment, Math Curriculum & Instruction (grades 6-8) (1.7 Math CEUs)

These two face-to-face Institutes will be of value to both teachers and school/district leaders in math. Many teachers are highly knowledgeable about the curriculum in the grade(s)/course(s) they teach. However, some teachers need more information regarding these dimensions associated with grades/courses which precede and follow theirs. These Institutes considers vertical alignment of content and standards from K-5 and 6-8 respectively. The contents of these institutes change yearly. Through this work, teachers and school/district math leaders will: be empowered to better plan instruction and assessment; recognize expected student understanding in preceding and following math courses; and better meet the needs of their students. School/district math leaders will better be able to support their teachers. (See Institute Curricula above.). The CEUs provided through these Institutes are in Math. The tuition for this Institute is $200/person and the Buy-One-Get-One-Free group discount does not apply.

## Short Week 3: July 8-10, 2020

### Literacy in Mathematics (grades K-5) (1.7 CEUs Math/Literacy combination)

Literacy in mathematics is fundamental to learning. In order to learn and communicate mathematical ideas, students must be able to read and write in the content of mathematics. This face-to-face institute will: differentiate between what literacy looks like in ELA and in Mathematics; identify the difficulties in learning the language of mathematics; develop strategies to overcome these difficulties; and develop strategies to help students interpret problems without the teacher reading and interpreting them for the students. When appropriate, activities will be differentiated to address the needs of teachers in their respective grades. While some children's books will be connected to math activities, the primary focus are the preceding goals. (See Institute Curricula above.) The CEUs provided through this Institute are in combinations of Literacy and Math.

### Statistics in the 4th Level Math Courses (1.7 Math CEUs)

The study of statistics and its applications appears in 4th level math course. Since many teachers have not investigated statistics for a number of years, this institute provides a refresher on the meaning, arithmetic, and applications of statistics. This face-to-face institute will investigate statistics as presented in the 4th level math courses. (See Institute Curricula above.) The CEUs provided through this Institute are in mathematics. The tuition for this Institute is $200/person and the Buy-One-Get-One-Free group discount does not apply.

### New Ideas in Discrete Math (1.7 Math CEUs)

Many teachers have expertise teaching discrete mathematics. However, with recent revisions to North Carolina’s description of the high school discrete math, some topics in discrete math are new and warrant investigation. Many of these new topics are consistent with such in similar courses in other states and are central to further studies in probability and statistics. This face-to-face institute will consider some of these topics. (See Institute Curricula above.) The CEUs provided through this Institute are in Math. The tuition for this Institute is $200/person and the Buy-One-Get-One-Free group discount does not apply.

### Math Assessment, Interpretation & Application (grades K-5) (1.7 Math CEUs)

### Math Assessment, Interpretation & Application (grades 6-8) (1.7 Math CEUs)

There are ever increasing assessment tools available to teachers. Each has its particular strengths, weaknesses, and purposes (e.g., conceptual understanding versus skills and formative versus summative). These two face-to-face Institutes investigate the nature of appropriate formative and summative mathematics assessments in K-5 and 6-8 respectively. Investigated will be: available assessments; the nature and purpose of assessments; assessing assessments; creating effective assessments; and interpreting the results of assessments. (See Institute Curricula above.) The CEUs provided through this Institute are in Math. The tuition for this Institute is $200/person and the Buy-One-Get-One-Free group discount does not apply.

## Week 4: July 13-17, 2020

### Math 3 (3rd High School Math) (3 Math CEUs)

### Math 2 (high school) (3 Math CEUs)

These two face-to-face Institutes exemplify the integrated and inquiry-based nature of the content in high school Math 2 and Math 3 as defined in the North Carolina state content and pedagogy standards. The contents of these high school courses share similarities with curricula in other states. (See Institute Curricula above.) The CEUs provided through this Institute are in Math. The tuition for these Institutes is $300/person and qualifies for the Buy-One-Get-One-Free group discount.

### Discrete Math (high school) (3 Math CEUs)

This face-to-face Institute considers topics in North Carolina’s high school discrete math. Many of these topics are consistent with similar courses in other states. Many of these topics are central to further studies in probability and statistics. Topics covered in this Institute may include: information theory, logic, set theory, combinatorics, graph theory, probability, number theory, discrete calculus, geometry, decision theory, and/or discrete analogues of continuous mathematics. (See Institute Curricula above.) The CEUs provided through this Institute are in Math. The tuition for this Institute is $300/person and qualifies for the Buy-One-Get-One-Free group discount.

### Fractions: Understanding, Arithmetic, & Application (grades K-5) (3 Math CEUs)

### Fractions, Ratios, & Proportions (grades 6-8) (3 Math CEUs)

Standards for mathematical content, teaching, learning, and practices require that teachers provide students with opportunities to think deeper and make connections among concepts. While the strands of fractions, ratios, proportions, and geometry are woven throughout most state standards for mathematics, notably absent in instructional practices are investigations regarding the meaning of the mathematics and why concepts and skills are valid. Thus, these two face-to-face Institutes integrate these notions and infuse them with meaning. Through inquiry-based instructional techniques that model best educational practices, these Institutes investigate topics in these strands, use problem solving and modeling, and have participants do and develop activities commensurate with these strands in grades K-5 and 6-8. (See Institute Curricula above.) The CEUs provided through this Institute are in Math. The tuition for this Institute is $300/person and qualifies for the Buy-One-Get-One-Free group discount.

## Structural Background of Summer Institutes

All MELT Institutes are developed to address the seemingly continual revision of state and national standards. Each Institute is modified annually in order to meet the most recent state and national standards recommendations. Furthermore, each Institute is developed in a manner that will allow for participant experiences to be commensurate with the needs of their students, school, district, and state. Regardless of the state from which a participant comes and which set of standards that state is using, MELT will ensure that the content and style of each Institute is sufficiently individuated to meet the needs of all participants. As registrations are received, MELT personnel and instructors collaborate to ensure that the class instruction and experiences are appropriate for all participants and specifically address each respective set of standards.

All MELT Institutes use a framework that integrates the domains of content, pedagogy, technology, and leadership.

Each MELT Institute attempts to best mirror the recommendations, philosophy, structure and intent of the standards. MELT Institutes assist teachers in understanding the nature of the state-specific standards and help them to translate content and instructional techniques to their own classrooms to support student learning.

The content and delivery of each Institute is considered through a number of perspectives. Course appropriate and integrated mathematical content is experienced in every Institute offering. Although a course may be denoted as addressing only a few mathematical topics, integration of a far greater number of topics commonly occurs. Some of these topics include algebra, geometry, probability, statistics, discrete math, and mathematical modeling. The content mirrors the style and content proposed in respective state standards and significantly extends upon such both in depth and through connections. This ensures that MELT participants gain both the content knowledge and the confidence to replicate and extend the content covered in these Institutes in their own classrooms.

Within the instructional and learning experiences in each MELT Institute, integrated pedagogical and epistemological considerations and experiences are paramount and accompany the mathematical content. Among others, these experiences include instruction and learning through: inquiry-based methods, mathematical modeling, using technology, assessment strategies, reasoning and problem solving, standards on mathematical teaching, learning, practices, and investigating teacher and student beliefs.

Each Institute is infused with consideration of the nature and practice of leadership. Participants will consider means and techniques of bringing what they have learned back to their classrooms, schools and districts. What it means to be a Mathematics Education Leader, what might that look like, and the many forms that may take in individual schools and districts is investigated.

For more information regarding the MELT Program and MELT Institutes, contact

Michael J. Bossé

MELT@appstate.edu

Distinguished Professor of Mathematics Education and MELT Program Director

Dept. of Mathematical Sciences, 243 Walker Hall, 121 Bodenheimer Dr.,

Appalachian State University, Boone NC 28608-2092

Phone: (828) 262-2862