diff --git a/src/js/trove/global.js b/src/js/trove/global.js
index 72c42b2ae..225bb8e03 100644
--- a/src/js/trove/global.js
+++ b/src/js/trove/global.js
@@ -23,9 +23,18 @@
       "tve":      ["tid", "e"],
       "Equality": { tag: "name", 
                     origin: { "import-type": "uri", uri: "builtin://equality" },
-                    name: "EqualityResult" }
+                    name: "EqualityResult" },
+      "Row": { tag: "name", 
+                    origin: { "import-type": "uri", uri: "builtin://global" },
+                    name: "Row" },
+      "Table": { tag: "name", 
+                    origin: { "import-type": "uri", uri: "builtin://global" },
+                    name: "Table" },
+      "Col": "tany"
     },
     values: {
+      "table-from-column": ["arrow", ["Col", ["List", "Col"]], "Table"],
+
       "print": ["forall", "a", ["arrow", ["tva"], "tva"]],
       "test-print": ["forall", "a", ["arrow", ["tva"], "tva"]],
       "print-error": ["forall", "a", ["arrow", ["tva"], "tva"]],
@@ -523,10 +532,69 @@
         "_greaterthan": ["arrow", ["String"], "Boolean"],
         "_greaterequal": ["arrow", ["String"], "Boolean"]
       }],
+      // Issues and things that make me uncomfortable:
+      // * sometimes order matters and we can't enforce it
+      // * sometimes column names must match and we can't enforce it
+      // * sometimes we want to ensure a column being passed in exists in the schema and we can't enforce it
+      // * would be nice to have a way to express column uniqueness (i.e. add-column)
+      // * Col is an any (even though we do have the type info available), so:
+      //    * when passing in functions, these functions cannot really be typed
+      //    * when returning from these methods we lose type information
+      //
+      // Things I do like about this:
+      //  * thus far it "feels right" to return Table and Row. These types are cognitively simple to understand.
+      //
       "Table": ["data", "Table", [], [], {
-        "length": ["arrow", [], "Number"]
+        "length": ["arrow", [], "Number"],
+        "add-column": ["arrow", ["String", ["List", "Col"]], "Table"],
+        "row-n": ["arrow", ["Number"], "Row"],
+        "column": ["arrow", ["String"], ["List", "Col"]],
+        "select-columns": ["arrow", [["List", "String"]], "Table"],
+        "all-columns": ["arrow", [], ["List", ["List", "Col"]]],
+        "all-rows": ["arrow", [], ["List", "Row"]],
+        "column-names": ["arrow", [], ["List", "String"]],
+        "build-column": ["arrow", ["String", ["arrow", ["Row"], "Col"]], "Table"],
+        "increasing-by": ["arrow", ["String"], "Table"],
+        "decreasing-by": ["arrow", ["String"], "Table"],
+        "order-by": ["arrow", ["String", "Boolean"], "Table"],
+        // incorrect: column names must all match, order does not matter
+        "stack": ["arrow", ["Table"], "Table"],
+        "empty": ["arrow", [], "Table"],
+        "drop": ["arrow", ["String"], "Table"],
+        "rename-column": ["arrow", ["String", "String"], "Table"],
+        "column-n": ["arrow", ["Number"], "Col"],
+        "filter": ["arrow", [["arrow", ["Col"], "Boolean"]], "Table"],
+        "filter-by": ["arrow", ["String", ["arrow", ["Col"], "Boolean"]], "Table"],
+        // incorrect: column names must all match and order matters
+        "add-row": ["arrow", ["Row"], "Table"],
+
+        // TODO: figure out how to properly type these variadic function
+        // row
+        // new-row
+
+        // TODO: finish implementing types for these
+        // order-by-columns - how to type a Tuple?
+        // multi-order - how to type an array of two element arrays?
+        // reduce - how to type a Reducer?
+        // transform-column
+
+        // TODO: implement types for internals
+        // _column-index
+        // _no-column
+        // _equals
+        // _output
+
+        // TODO: constructors
+        // raw-row
+      }],
+      "Row": ["data", "Row", [], [], { 
+        "get-column-names": ["arrow", [], ["List", "String"]],
+        "get-value": ["arrow", ["String"], "Col"],
+
+        // TODO: implement types for internals
+        // _output
+        // _equals
       }],
-      "Row": ["data", "Row", [], [], { }],
       "Function": ["data", "Function", [], [], {}],
       "Boolean": ["data", "Boolean", [], [], {}],
       "Object": ["data", "Object", [], [], {}],
diff --git a/tests/type-check/bad/table.arr b/tests/type-check/bad/table.arr
new file mode 100644
index 000000000..d5e41731a
--- /dev/null
+++ b/tests/type-check/bad/table.arr
@@ -0,0 +1,10 @@
+email :: Table =
+  table: sender, subject
+    row: "Matthias", "hi"
+    row: "Kathi", "foo"
+    row: "Joe", "bar"
+    row: "Matthias", "bye"
+  end
+
+# select-columns :: List<Striong> -> Table
+all-columns-tbl-selected = tbl.select-columns([list: 10, 11])
diff --git a/tests/type-check/good/table.arr b/tests/type-check/good/table.arr
index c55648c58..7a00f7d13 100644
--- a/tests/type-check/good/table.arr
+++ b/tests/type-check/good/table.arr
@@ -1,13 +1,88 @@
-email :: Table =
-  table: sender, subject
-    row: "Matthias", "hi"
-    row: "Kathi", "foo"
-    row: "Joe", "bar"
-    row: "Matthias", "bye"
-  end
+import tables as T
+
+#=============== Set Up ================== #
 
 tbl = table: name, age
   row: "Bob", 12
   row: "Alice", 15
   row: "Eve", 13
-end
\ No newline at end of file
+end
+
+tbl-2 = table: name, age
+  row: "Rob", 14
+end
+
+fun allTrue(x) -> Boolean:
+  true
+end
+
+#=============== Table ================== #
+
+# length :: () -> Number
+tbl.length()
+
+# add-column :: (String, List<Col>) -> Table
+tbl.add-column("gender", [list: "man", "lady", "lady"])
+
+# row-n :: Number -> Row
+row-1 = tbl.row-n(1)
+
+# column :: (String) -> List<Col>
+age-column = tbl.column("age")
+
+# select-columns :: (List<String>) -> Table
+tbl.select-columns([list: "name", "age"])
+
+# all-columns :: () -> List<List<Col>>
+tbl.all-columns()
+
+# all-rows :: () -> List<Row>
+tbl.all-rows()
+
+# column-names :: () -> List<String>
+tbl.column-names()
+
+# build-column :: (String, (Row -> Col)) -> Table
+tbl.build-column("is-cool", allTrue)
+
+# increasing-by :: (String) -> Table
+tbl.increasing-by("age")
+
+# decreasing-by :: (String) -> Table
+tbl.decreasing-by("age")
+
+# order-by :: (String, Boolean) -> Table
+tbl.order-by("age", false)
+
+# stack :: (Table) -> Table
+tbl.stack(tbl-2)
+
+# empty :: () -> Table
+tbl.empty()
+
+# drop :: (String) -> Table
+tbl.drop("age")
+
+# rename-column :: (String, String) -> Table
+tbl.rename-column("age", "years-old")
+
+# column-n :: (Number) -> Col
+tbl.column-n(1)
+
+# filter :: (Col -> Boolean) -> Table
+tbl.filter(allTrue)
+
+# filter-by :: (String, (Col -> Boolean)) -> Table
+tbl.filter-by("age", allTrue)
+
+# TODO: after fix raw-row, use a uniquely constructed row here
+# add-row :: Row -> Table
+tbl.add-row(row-1)
+
+#=============== Row ================== #
+
+# get-column-names :: () -> List<String>
+row-1-column-names = row-1.get-column-names()
+
+# get-value :: (String) -> Col
+row-1.get-value("age")